Some Properties of Fuzzy Semi-Open Sets in Fuzzy Bi-Spaces

Hassan A. Al-Hadi

doi:https://doi.org/10.54216/IJNS.230109

International Journal of Neutrosophic Science | 2024

Effective Neutrosophic Soft Expert Set and Its Application

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.

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Sumyyah Al-Hijjawi mail -

Abd Ghafur Ahmad mail -

Shawkat Alkhazaleh mail

link https://doi.org/10.54216/IJNS.230103

Volume & Issue

Vol. Volume 23 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2024

Fuzzy Logic Used to Solve ODEs of Second Order Under Neutrosophic Initial Conditions

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 .

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Sahar M. Jabbar mail -

Azal Mera mail -

Ameera N. Alkiffai mail

link https://doi.org/10.54216/IJNS.230104

Volume & Issue

Vol. Volume 23 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2024

Neutrosophic Control Chart for Rayleigh Quality with Applications To Wind Speed Data

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.

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Fuad S. Alduais mail -

Zahid Khan mail -

Muhammad Waseem mail

link https://doi.org/10.54216/IJNS.230105

Volume & Issue

Vol. Volume 23 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2024

Neutrosophic Laplace Distribution with Properties and Applications in Decision Making

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.

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Ahmedia Musa M. Ibrahim mail -

Zahid Khan mail

link https://doi.org/10.54216/IJNS.230106

Volume & Issue

Vol. Volume 23 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2023

Neutrosophic Structure of the Log-logistic Model with Applications to Medical Data

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.

groups

Hassabelrasul Y. A. Shihabeldeen mail -

Zahid Khan mail

link https://doi.org/10.54216/IJNS.230107

Volume & Issue

Vol. Volume 23 / Iss. Issue 1

Details open_in_new

Prospects for Applied Mathematics and Data Analysis | 2023

Neutrosophic Treatment of Duality Linear Models and the Binary Simplex Algorithm

One of the most important theories in linear programming is the dualistic theory and its basic idea is that for every linear model has dual linear model, so that solving the original linear model gives a solution to the dual model. Therefore, when we solving the linear programming model, we actually obtain solutions for two linear models. In this research, we present a study of the models. The neutrosophic dual and the binary simplex algorithm, which works to find the optimal solution for the original and dual models at the same time. The importance of this algorithm is evident in that it is relied upon in several operations research topics, such as integer programming algorithms, some nonlinear programming algorithms, and sensitivity analysis in linear programming...

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Maissam Jdid mail -

Florentin Smarandache mail

link https://doi.org/10.54216/PAMDA.020202

Volume & Issue

Vol. Volume 2 / Iss. Issue 2

Details open_in_new

International Journal of Neutrosophic Science | 2024

Some properties of neutrosophic nil radicals of neutrosophic ideals in rings

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.

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A. Priya mail -

P. Maragatha Meenakshi mail -

Aiyared Iampan mail -

N. Rajesh mail

link https://doi.org/10.54216/IJNS.230108

Volume & Issue

Vol. Volume 23 / Iss. Issue 1

Details open_in_new

Fusion: Practice and Applications | 2024

An Efficient Hybrid Optimizer for Resource Reuse in a Cloud Environment

In a cloud context, merging complimentary numerous virtual machines (VMs) on an existing physical machine (PM) is the primary method for optimizing physical resources. One well-known area of research concentrates on making better use of VM migration resources when taking into account the dynamically changing resource demands of VMs. Finding the ideal balance between the complexity and performance of the VM migration optimization is the problem here. On the one hand, effective resource reuse is achieved through VM migration planning, and on the other, VM migration frequency is decreased to improve migration efficiency. On the other hand, a cloud data centre’s enormous PM and VM population typically makes migration planning more challenging, which impedes the VM migration decision-making process. By reducing the number of VM migration options to make VM migration planning easier and address these issues, this study recommend a hybrid Ant Colony and Genetic Algorithm (AGO) resource pool architecture. Then, establishing this model as a base, we develop the hybrid resource-reuse optimization method, which maximizes resource utilization with a minimal number of VM migrations. Finally, we evaluate hybrid AGO using simulation testing and real-world trials on a working cloud platform. Compared to similar methods, the findings show that hybrid AGO increases average resource utilization by 15%, reduces the use of PMs by 15%, and decreases the average number of migrations by 30%.

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V. S. Lavanya mail -

D. Mythrayee mail

link https://doi.org/10.54216/FPA.140107

Volume & Issue

Vol. Volume 14 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2023

Properties of Fuzzy Semi-Open Sets with Regards to Fuzzy Ideals

This paper introduces a broadened concept of fuzzy semi-open sets by framing them in the context of fuzzy ideals. Where many of their elementary properties will be presented in terms of theorems and lemmas. Also, many related examples about the validity of semi-open sets and their relationships with fuzzy ideals will be provided and discussed.

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Hassan A. Al-Hadi Ahmed mail

link https://doi.org/10.54216/IJNS.220411

Volume & Issue

Vol. Volume 22 / Iss. Issue 4

Details open_in_new

International Journal of Neutrosophic Science | 2024