Neutrosophic mathematics is a branch of mathematics that deals with ambiguity, indeterminacy, and incompleteness in mathematical objects and procedures. To account for Neutrosophic uncertainty, several mathematical concepts—including the reduction formula, partial fractions, and area finding—are extended in this field. The Neutrosophic reduction formula is a technique for summarising simpler words from a complex mathematical expression when the coefficientss a nd/or values may be ambiguous or unknown. By taking the potential of insufficient information into account, expands the traditional reduction formula. A rational function can be broken down using the Neutrosophic partial fraction into several simpler expressions, where the coefficients and/or values may be ambiguous or unknown. By considering, this expands the traditional partial fraction. The potential for inaccurate information. A method for calculating the area under a curve where the curve's form or position may be unknown or ambiguous is area finding via neutrosophic integration. By considering the potential of having insufficient information, this expands the traditional area of searching. These ideas can be used in fields like decision-making, expert systems, and artificial intelligence and are crucial for handling problems in the real world that entail uncertainty, indeterminacy, and incompleteness.
Read MoreDoi: https://doi.org/10.54216/IJNS.230101
Vol. 23 Issue. 1 PP. 08-16, (2024)
In this article, the concept of fuzzy hypersoft δ (resp. semi, pre, δ semi & δ pre)-separation axioms in fuzzy hypersoft topological spaces are introduced by developing fuzzy hypersoft δ (resp. semi, pre, δ semi & δ pre)-neighbourhood with respect to fuzzy hypersoft points. Also, the properties and relations between fuzzy hypersoft δ (resp. semi, pre, δ semi & δ pre)- Ti- spaces (i = 0, 1, 2, 3, 4) are discussed.
Read MoreDoi: https://doi.org/10.54216/IJNS.230102
Vol. 23 Issue. 1 PP. 17-26, (2024)
The neutrosophic soft set emerges as a highly valuable and efficient adaptation of soft sets, specifically addressing parameterized values of alternatives. However, numerous decision-making algorithms rooted in neutrosophic soft sets often neglect the external factors impacting their effectiveness. This paper introduces the innovative concept of an effective neutrosophic soft expert set, meticulously crafted to encapsulate external influences on both neutrosophic soft sets and expert opinions within a unified model. This eliminates the necessity for additional operations. Notably, our groundbreaking approach seamlessly amalgamates the strengths of the neutrosophic soft expert set and the effective set, resulting in heightened efficiency and realism in this domain. The article comprehensively explores the fundamental operations of an effective neutrosophic soft expert set, elucidating these processes through apt examples. Finally, the paper showcases the practical application of this concept in decision-making problems, providing algorithms and illustrative examples to underscore its efficacy.
Read MoreDoi: https://doi.org/10.54216/IJNS.230103
Vol. 23 Issue. 1 PP. 27-50, (2024)
The Mohand transform method, which has the benefit of unit preservation property over the well-established Laplace transform method, is used in this study to solve the ordinary differential equation of second order with neutrosophic numbers as initial conditions. Moreover, the solution obtained at different –cut .
Read MoreDoi: https://doi.org/10.54216/IJNS.230104
Vol. 23 Issue. 1 PP. 51-58, (2024)
The application of neutrosophic statistics provides a novel approach to dealing with uncertain and imprecise data problems. In this study, we present an improved method called neutrosophic Rayleigh exponential weighted moving average chart. The chart is an extension of the traditional model and can be applied in various fields. The proposed scheme is designed to enhance the detection capability of the traditional chart. The key features of the suggested chart are discussed, highlighting its capability to handle vague, indeterminate, and fuzzy data situations. We evaluate the performance of the proposed scheme by analyzing the designated limits and charting parameters for different sample sizes. Moreover, we establish the performance metrics of the chart such as neutrosophic run length ( ) and neutrosophic power curve ( ).Performance metrics demonstrate that the chart is highly sensitive to persistent shifts in the scaling parameter of the neutrosophic Rayleigh distribution. Monte Carlo simulations are conducted to compare the suggested scheme with the existing model. A comparative study indicates that the proposed chart outperforms the competing design, particularly in detecting smaller shifts. Finally, we provide a charting structure for the proposed design using daily average wind speed data, which can be used as a practical implementation guideline for real-world applications.
Read MoreDoi: https://doi.org/10.54216/IJNS.230105
Vol. 23 Issue. 1 PP. 59-72, (2024)
This paper introduces the concept of the neutrosophic Laplace distribution ( ), a probability distribution derived from the Laplace distribution. The offers a versatile framework for describing various real-world problems. We highlight the neutrosophic extension of the Laplace distribution and explore its applications in different areas. Extensive investigations into the mathematical properties of the distribution are presented, including the derivation of its probability density function, mean, variance, raw moment, skewness, and kurtosis. To estimate the parameters of the , we employ the method of maximum likelihood (ML) estimation within a neutrosophic environment. Furthermore, we conduct a simulation study to assess the effectiveness of the maximum likelihood approach in estimating the parameters of this new distribution. The findings demonstrate the potential of the in modeling and analyzing real-world phenomena. Eventually, some illustrative examples related to system reliability are provided to clarify further the implementation of the neutrosophic probabilistic model in real-world problems.
Read MoreDoi: https://doi.org/10.54216/IJNS.230106
Vol. 23 Issue. 1 PP. 73-84, (2024)
In practical scenarios, it is common to encounter fuzzy data that contains numerous imprecise observations. The uncertainty associated with this type of data often leads to the use of interval statistical measures and the proposal of neutrosophic versions of probability distributions to better handle such data. This study introduces a new generalized design of the log-logistic distribution within a neutrosophic framework, building upon encouraging applications of this distribution in fields such as economics, engineering, survival analysis, and lifetime modeling. The proposed neutrosophic log-logistic distribution (NLLD) is analyzed in terms of statistical properties, including moments, shape coefficients, and various survival characteristics. To evaluate the performance of the predicted neutrosophic parameters, an estimation procedure is conducted. Finally, the practical application of the proposed model is demonstrated using a sample dataset consisting of 128 bladder cancer patients.
Read MoreDoi: https://doi.org/10.54216/IJNS.230107
Vol. 23 Issue. 1 PP. 85-96, (2023)
In this paper, we consider the notion of neutrosophic nil radicals of neutrosophic ideals in commutative rings and some properties of such nil radicals. Finally, we study the properties of semiprime neutrosophic ideals of rings.
Read MoreDoi: https://doi.org/10.54216/IJNS.230108
Vol. 23 Issue. 1 PP. 97-111, (2024)
The idea of fuzzy “semi-open sets” within the framework of fuzzy fields was proposed in the theory of fuzzy topology. This investigation delves deeper into the concept, specifically examining fuzzy “semi-open sets” concerning ω̃1 (ω̃2) with respect to ω̃2 (ω̃1). Additionally, we explore pairs of fuzzy “semi-open sets” in the context of a fuzzy bi-space and analyse their implications on results applicable in bi-topological spaces.
Read MoreDoi: https://doi.org/10.54216/IJNS.230109
Vol. 23 Issue. 1 PP. 112-116, (2024)
Science is the basis for managing the affairs of life and human activities, and living without knowledge is a form of wandering and a kind of loss. Using scientific methods helps us understand the foundations of choice, decision-making, and adopting the right solutions when solutions abound and options are numerous. Operational research is considered the best that scientific development has provided because its methods depend on the application of scientific methods in solving complex issues and the optimal use of available resources in various fields, private and governmental work in peace and war, in politics and economics, in planning and implementation, and in various aspects of life. Its basic essence is to use the data provided for the issue under study to build a mathematical model that is the optimal solution. It is the basis on which decision makers rely in managing institutions and companies, and when operations research methods meet with the neutrosophic teacher, we get ideal solutions that take into account all the circumstances and fluctuations that may occur in the work environment over time. One of the most important operations research methods is the linear programming method. Which prompted us to reformulate the linear models, the graphical method, and the simplex method, which are used to obtain the optimal solution for linear models using the concepts of neutrosophic science. In this research, and as a continuation of what we presented previously, we will reformulate the modified simplex algorithm that was presented to address the difficulty that we were facing when applying the direct simplex algorithm. It is the large number of calculations required to be performed in each step of the solution, which requires a lot of time and effort.
Read MoreDoi: https://doi.org/10.54216/IJNS.230110
Vol. 23 Issue. 1 PP. 117-124, (2024)
The design of the experiment is a strategy for effectively examining the relationship between input design parameters and process output and developing a greater understanding. A randomized block design is an experimental design that has two primary factors and is widely used in agriculture, environment, biological, animal, and food sciences, where experimental material is heterogeneous and precise. In a randomised block design, one or more observations may lose their true significance due to an accident, poor handling, pest infestations in agricultural trials, or other factors. It is prudent to treat this value as missing and estimate it. In today’s practical situations, uncertainty and inaccuracies are inevitable in most research areas. It is important to handle such data, which can lead to inaccurate and unreliable results. Neutrosophy is the branch of philosophy that provides an efficient method to study impreciseness among the data. Some of the common sources of Neutrosophy in randomised block design are incorrect blocking factor selection, measurement error, subjective factors, and natural variability. It is paramount to handle the Neutrosophy in a randomised block design; otherwise, it may lead to various problems, like a high risk of false positives. In this paper, the Neutrosophic Randomised Block Design (NRBD) is introduced to tackle data impreciseness. The study also, outlines a methodology for estimating missing observations in NRBD and presents its analysis. Additionally, the study compares the efficiency of NRBD to that of the Neutrosophic Completely Randomised Design (NCRD).
Read MoreDoi: https://doi.org/10.54216/IJNS.230111
Vol. 23 Issue. 1 PP. 125-133, (2024)
The growth of information technology over the course of human history has resulted in an update to traditional schooling. The Metaverse is an innovative concept for social work that incorporates many different types of technology. These technologies include big data, interactivity, artificial intelligence (AI), game design, internet computing, the Internet of Things (IoTs), and blockchain. It is reasonable to anticipate that the utilization of Metaverse will contribute to the advancement of educational practices. However, the structures of the Metaverse in educational settings are not yet developed to the point where they are ready for use. When it comes to schooling and the Metaverse, there are a lot of questions that need answering. Considering this, the purpose of this research is to provide a comprehensive analysis of the use of Metaverse in educational settings. This article provides an in-depth study of the use of the Metaverse in education, with a particular emphasis on contemporary technology, obstacles, and possibilities, as well as potential future paths. First, we provide a concise introduction to the use of the Metaverse in education, as well as an explanation of the rationale for including it. After that, we look at a few crucial aspects of the Metaverse's use in the educational sector, such as the individual's capacity to create their own personalized learning and teaching environments. The next step is appraising determined alternatives and criteria which related to utilize metaverse in education environment. Hence, entropy is supported with SingleValue Neutrosophic Sets (SVNSs) to analyze and valuation of criteria’s weights. Then Combined Compromise Solution (CoCoSo) is utilized under authority of SVNSs to rank alternatives related to deploying metaverse in educations. The results demonstrated that alternative 1 is the optimal otherwise alternative 3 is worst.
Read MoreDoi: https://doi.org/10.54216/IJNS.230112
Vol. 23 Issue. 1 PP. 134-145, (2024)
Neutrosophic set has been developed as a mathematical method for procuring indeterminate and incomplete information. Neutrosophic fuzzy set is a powerful generic system that has been recently developed. In several areas, including data and information analysis, data science, information and decision, have successfully applied neutrosophic concept. Not just that but also the important problems we experience in variety of fields, such as computing, life science, social development, and technical work are represented by neutrosophic fuzzy sets. In this paper, we have presented the idea of an implication-based (ȷρ) neutrosophic fuzzy (F) subgroup over a finite group and a ȷρ neutrosophic F normal subgroup over a finite group. Further, we have established a few fundamental properties of a ȷρ neutrosophic F subgroup over a finite group and ȷρ neutrosophic F normal subgroup over a finite group.
Read MoreDoi: https://doi.org/10.54216/IJNS.230113
Vol. 23 Issue. 1 PP. 146-154, (2024)
The importance of supply chain management in the field of international business administration is investigated in this study. Global businesses rely heavily on effective supply chain management, which coordinates the international transfer of materials, data, and money. The paper illuminates the critical nature of supply chain management on a worldwide scale. Distance, cultural differences, legal constraints, and logistics are only some of the problems and complexity of international supply chain management that are explored in this article. Topics covered include supplier selection and management, demand forecasting, inventory control, transportation, and distribution network design, as well as other techniques used by businesses to improve their worldwide supply chains. The study also discusses how international supply networks are affected by globalization, free trade agreements, and geopolitical considerations. Organizational strategies for overcoming hurdles such as tariffs, quotas, and political instability in international commerce are discussed. This paper used the neutrosophic sets (NSs) to deal with uncertainty in assessment factors of supply chains in international business. The NS is integrated with the DEMATEL method. The neutrosophic DEMATEL is used to show relationships between factors.
Read MoreDoi: https://doi.org/10.54216/IJNS.230114
Vol. 23 Issue. 1 PP. 155-166, (2024)
Health professional educators are increasingly using escape rooms as a teaching tool. Given the fast development in their use, investigators have chosen varied assessment approaches to evaluate the instructional rooms. Considering educational escape rooms is a multi-attribute decision-making (MADM) process based on various criteria. This study proposed a MADM model to assess the educational escape rooms. This study used the VIKOR MADM method to evaluate the criteria and alternatives. This evaluation is made under a neutrosophic set to overcome the uncertainty information. We collected fourteen criteria and ten alternatives in this study. We employed a sensitivity analysis to show the proposed model's effectiveness and the results' stability. The analysis shows the results are stable.
Read MoreDoi: https://doi.org/10.54216/IJNS.230115
Vol. 23 Issue. 1 PP. 167-175, (2024)
In this work, the possibility neutrosophic bipolar soft sets interact with the possibility bipolar fuzzy soft sets, as well as complementation, union, intersection, AND, and OR. This paper extends the concept of bipolar neutrosophic soft sets to the possibility neutrosophic bipolar soft sets. Our main goal was to demonstrate De Morgan’s law, associate law and distributive law, which are all the laws related to the possibility neutrosophic bipolar soft sets. Also, we present an algorithm that uses a soft set model to solve the decision-making problem primarily in order to simplify the process.
Read MoreDoi: https://doi.org/10.54216/IJNS.230116
Vol. 23 Issue. 1 PP. 176-192, (2023)
Traditional approaches to recognizing hazards and evaluating their risks have several shortcomings, including data confusion and unpredictability, an inability to accurately reflect human thought processes, a failure to give weight to factors, the use of established data and tables, and the influence of the evaluator on the final risk evaluation outcomes. Thus, refining current techniques and creating new ways with more precision and sensitivity is essential. We proposed a framework for risk assessment of firefighting. Firefighting has various criteria, so the concept of multi-criteria decision-making (MCDM) deals with these criteria, such as life safety, resource allocation, incident duration, weather conditions, access, etc. We collected ten risk criteria and 25 alternatives. The proposed framework has two main stages. First, we apply the average method to ten risk criteria to show the weights and the importance of the criteria. Then, in the second stage, we used the grey rational analysis (GRA) method to assess the firefighting risks. The GRA method is an MCDM methodology used to rank the alternatives. The GRA method is integrated with the triangular neutrosophic sets (TNSs) to deal with vague and uncertain information. Then, the principal results show that life safety is the highest weight, and the incident duration is the lowest. The outcome of the GRA method shows that risk 25 is the highest and risk 17 is the lowest. We applied the sensitivity analysis to show the stability of the results. We offer the model is adequate, and the results are stable.
Read MoreDoi: https://doi.org/10.54216/IJNS.230117
Vol. 23 Issue. 1 PP. 193-204, (2024)
Full exploitation of offshore wind resources still needs to be completed despite their significant potential to reduce the impacts of climate change via the production of renewable power. Planning strategies that include wind resources, safety, economic, social, and government impacts are essential for advancing offshore wind generation projects. This study aims to evaluate the criteria for wind power plants and select the best turbine. This process has various conflict criteria, so the multi-criteria decision-making (MCDM) methodology deals with multiple criteria. The ARAS method is an MCDM method used to rank the alternatives. The ARAS method uses the single-valued neutrosophic set to deal with uncertain information. We gathered eleven criteria and fifteen alternatives. The results show the turbine resource is the best and the economic criterion is the worst. The sensitivity analysis is conducted to ensure the proposed model's results and show the strength of the proposed method. The results show the proposed model is suitable for selecting the best wind power plant.
Read MoreDoi: https://doi.org/10.54216/IJNS.230118
Vol. 23 Issue. 1 PP. 205-215, (2024)
In a power plant, the fuel choice directly impacts the efficiency, cost, and ecological impact of generating electricity. For power plants to produce electricity effectively and affordably to fulfill the needs of consumers in homes, companies, and communities, they need a fuel supply that is constant, dependable, and inexpensive. In this study, we used the concept of multi-criteria decision-making (MCDM) to deal with the various criteria of fuel alternatives. We used the EDAS method as an MCDM methodology to rank the fuel alternatives and select the best one. The EDAS method is employed with the interval-valued neutrosophic sets (IVNSs) to deal with the uncertainty information in the evaluation process. We compute the weights of the criteria of thermodynamic parameters. We used ten thermodynamic parameters such as temperature, mass, energy, etc. Then, the principal results show that temperature is the best criterion, and the work interaction is the worst criterion in all criteria. The EDAS method ranked twenty alternatives. The results show that alternative 20 are the best and alternative 14 is the worst of all alternatives. We employed the sensitivity analysis to show the rank of alternatives under ten cases. The results show the 20 alternative is the best in all cases. The results are stable.
Read MoreDoi: https://doi.org/10.54216/IJNS.230119
Vol. 23 Issue. 1 PP. 216-229, (2024)
In this article, we used approximate methods to obtain Bayes method estimations for the shape and scale parameters of the generalized exponential distribution, as three approximation methods were employed: Lindley approximation and neutrosophic Lindley approximation, Gibbs sampling and neutrosophic Gibbs sampling, the most important samples based on the gamma informative prior under the squared error loss function. Through different simulation experiments a comparison was made between those estimators of these three approximate methods, from the simulation results we found a relative preference for the important sampling method over the other two methods. The results of simulation experiments were also confirmed by applying these approximate methods to real data representing the operating times of one of the machines of the publishing, printing, and translation house in Baghdad. On the other hand, we apply the same method to the neutrosophic exponential distribution, and the results will be compared to the classical case.
Read MoreDoi: https://doi.org/10.54216/IJNS.230124
Vol. 23 Issue. 1 PP. 273-286, (2024)
In this paper, a bi-level chance constrained programming problem is considered when the coefficients of the objective function is presented as neutrosophic numbers and the right- hand side of the constraints is normal variables and the constraints have a joint probability distribution. While the probability problem and applying the score and accurate functions the problem is converted into an equivalent deterministic non- linear programming problem, a fuzzy programming approach is applied by defining membership function. A linear membership function is used for obtaining optimal compromise solution. A numerical example is given to illustrate the proposed methodology.
Read MoreDoi: https://doi.org/10.54216/IJNS.230120
Vol. 23 Issue. 1 PP. 287-298, (2024)
Several higher education institutions recommended active learning many decades ago. In many fields, artificial intelligence (AI) has turned out to be a dominant aspect of people's lives. One of the fields that welcome AI is education. AI can play a crucial role in active learning, which is a teaching method that encourages students to take an active role in their learning process. Active learning can involve a wide range of activities, such as problem-solving, group discussions, and self-reflection. This quantitative research paper aims to explore students' engagement and perceptions of patterns of embracing AI tools and their relationship to student learning outcomes. A diverse sample of 355 students from a highly reputable university in the United Arab Emirates participated in the research study (UAE). Descriptive Analysis and Correlation Coefficient were used to achieve the paper's objectives. Findings uncovered students’ high engagement level in classroom activities, and they perceived AI tools as useful and effortless, which promotes their engagement and attention inside classrooms. Furthermore, the results demonstrated the existence of a positive association between students' perceptions of embracing AI and student engagement in the learning environment. However, students’ learning outcomes have a non-remarkable association with student engagement and their perception of AI patterns. The study's findings suggest embracing and promoting AI applications in classrooms to keep students engaged. This study's use of Neutrosophic sets offers a fresh way to approach the problem of ambiguity when evaluating students' opinions and performance in relation to AI technologies. Neutrosophic sets, a mathematical framework designed to manage uncertainty, provide a sophisticated way to understand how students' complicated interactions with AI operate. This integration promises a more comprehensive and flexible educational paradigm and is a trailblazing method of negotiating the complexities of active learning in higher education.
Read MoreDoi: https://doi.org/10.54216/IJNS.230121
Vol. 23 Issue. 1 PP. 238-248, (2024)
In this paper, the concept of bipolar Pythagorean fuzzy neutrosophic sets (BPNSs) will be introduced which represents an innovative synthesis, incorporating bipolarity, Pythagorean fuzzy sets, and neutrosophic sets to provide a comprehensive solution to the multifaceted issues encountered in decision-making challenges. BPNS is proposed to enhance the expressiveness and flexibility of the model by incorporating both positive and negative preferences that can lead to more accurate and realistic modeling of complex decision scenarios. The essential idea of BPNSs is defined and some definitions for instance complement, intersection, and union are described. The basic operation, the derivation of its properties, and the numerical example of the method are integrated to execute the proposed model.
Read MoreDoi: https://doi.org/10.54216/IJNS.230122
Vol. 23 Issue. 1 PP. 249-256, (2024)
The complement of the highest result of multiplication of two neutrosophic graphs is determined in this study. In the complement of the maximum product of a neutrosophic graph, the degree of a vertex is investigated. The complement of the maximum product of two normal neutrosophic graphs has several results that are presented and proven. Finally, we have offered a neutrosophic graph application for locating an online streaming service using normalized Hamming distance.
Read MoreDoi: https://doi.org/10.54216/IJNS.230123
Vol. 23 Issue. 1 PP. 257-272, (2024)
The goal of this research is to investigate fuzzy multiobjective dynamic programming issues with fuzzy parameters in the objective functions and single valued trapezoidal neutrosophic numbers in the left hand side of the constraints. Piecewise quadratic fuzzy numbers characterize these fuzzy parameters. In addition, applying the score function of the neutrosophic numbers to convert the constraints parameters into its crisp . Some basic notions in the problem under the pareto optimal solution concept is redefined and analyzed to study the stability of the problem. Furthermore, a technique is presented for obtaining a subset of the parametric space that has the same pareto optimal solution. For a better understanding and comprehension of the suggested concept, a numerical example is provided.
Read MoreDoi: https://doi.org/10.54216/IJNS.230125
Vol. 23 Issue. 1 PP. 299-310, (2024)
This article considers a stochastic multi-objective linear programming problem in a neutrosophic framework. The right-hand sides of the constraints are random variables associated with their means and variances, and the single-valued trapezoidal neutrosophic numbers are included in the coefficients of the objective functions to investigate the problem. The problem is successfully converted into the related deterministic programming model based on the formulation of the scoring function and several distributions, such as the Uniform, Exponential, and Gama distributions. Applying fuzzy goal programming, the deterministic problem is solved. An example is then solved to demonstrate the solution methodology.
Read MoreDoi: https://doi.org/10.54216/IJNS.230126
Vol. 23 Issue. 1 PP. 312-322, (2024)
In this paper, a new type of integral transform with complex power parameters called the "Mayan transform" has been introduced. The definitions of the integral transform and its inverse are given in the classical case and the corresponding neutrosophic case. The classical analytical properties of the Mayan integral transforms are proven; the application of it to some essential functions and neutrosophic functions is introduced and proven. Also, its application to the neutrosophic derivatives (first, second, and third) then the generalization of the application on the Mayan integral transform on the neutrosophic derivatives are given. The worthiness of the introduced integral transform on the actual application is also proven by applying the integral transform in solving two problems: the response of an Undamped forced mechanical oscillator and the response of an undamped forced electrical oscillator.
Read MoreDoi: https://doi.org/10.54216/IJNS.230127
Vol. 23 Issue. 1 PP. 323-334, (2024)
This article presents the concepts of neutrosophic INK-subalgebras and INK-ideals of INK-algebras. We also studied neutrosophic INK-subalgebras and INK-ideals that depend on homomorphisms and anti-homomorphisms.
Read MoreDoi: https://doi.org/10.54216/IJNS.230128
Vol. 23 Issue. 1 PP. 335-340, (2024)
In this research, we introduce the Interval Valued Temporal Neutrosophic Fuzzy Sets (IVTNFS) and some of its basic operations. Also, examine some of their properties. The Neutrosophic Fuzzy Sets of membership and non-membership values are not always possible up to our satisfaction, but the IVTNFS part has a more important role here, because the time movement with an interval in NFS gave the best solution to making a decision, deciding their careers in our real-life situation.
Read MoreDoi: https://doi.org/10.54216/IJNS.230129
Vol. 23 Issue. 1 PP. 341-349, (2024)
Indeterminacy is common in practical decision-making circumstances. So the mathematical models of decision making represent the situations in a better way if the parameters are considered as neutrosophic. This article studies a general framework of multi-objective neutrosophic linear fractional programming problem (MONLFPP) and proposes unique approach. The issue's parameters are thought of as triangular neutrosophic numbers. The problem is converted into an equal crisp multi-objective linear programming problem (MOLPP) with the help of variable transformation technique and a ranking function. Fuzzy goal programming is used to solve the MOLPP that has been obtained. Finally, the usefulness of the proposed technique is established using two mathematical models.
Read MoreDoi: https://doi.org/10.54216/IJNS.230130
Vol. 23 Issue. 1 PP. 350-365, (2024)