Neutrosophic Hierarchical Clustering: A Novel Approach for Handling Uncertainty in Multi-Level Data Organization

Sitikantha Mallik; Suneeta Mohanty; Bhabani Shankar Prasad Mishra

doi:https://doi.org/10.54216/IJNS.260121

International Journal of Neutrosophic Science | 2025

Analyzing the Perspective of Circular Economy and Sustainable Development in the Junín Region of Peru Using Neutrosophic Cognitive Maps

The Sustainable Development of a country is a relatively new concept, where the right of each country to achieve decent economic and social development is accepted, and where there is well-being for the population. At the same time, the environment is respected. On the other hand, the Circular Economy is another recent concept where the efficient and effective use of resources and products is proposed, where the fundamental principle is the reuse of waste as far as possible and its rational use, to reduce environmental pollution, and providing economic savings for the country. This paper aims to study the relationship between the concepts of Circular Economy and Sustainable Development contextualized in the Peruvian department of Junín. To examine this relationship and its future behavior, there are challenges such as the existence of indirect relationships between these two concepts, dependent on other concepts; and relationships between concepts that are unknown, at least partially. Taking all this into account, a group of three experts on the subject in Junín was asked for their opinion to determine the relationship between the selected concepts. This allowed the representation of knowledge with the help of a Neutrosophic Cognitive Map (NCM) and the study of the dynamic behavior of concepts with the help of the Method for Hidden Patterns.

groups

Michael Raiser Vásquez-Ramírez mail -

Ketty Marilú Moscoso-Paucarchuco mail -

Percy Tito Avila-Zanabria mail -

Omar Arturo Vivanco-Nuñez mail -

Paul Cesar Calderon-Fernandez mail -

Williams Ronald Olivera-Acuña mail -

Manuel Michael Beraún-Espíritu mail

link https://doi.org/10.54216/IJNS.260112

Volume & Issue

Vol. Volume 26 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2025

Comparing Teachers’ Critical Thinking Skills in Terms of the School Types through Classical Logic and Fuzzy Logic

This study is an attempt to explore the value of the teachers’ critical thinking skills with fuzzy expert systems. The study employed this system to obtain an objective and authentic evaluation in an abstract or ambiguous assessment. The working group consisted of 275 teachers working in public schools in Antalya central districts during the 2021-2022 academic year. This study deployed The Critical Thinking Appraisal (CTA) developed by Özelçi (2012). In the first stage, the data obtained from the teachers' critical thinking skill scale were analyzed through classical logic. Validity (explanatory and confirmatory factor analysis) and reliability analyzes (Cronbach Alpha) were performed during data analysis. Besides, the data regarding the teachers' critical thinking skill scale were also examined through the fuzzy logic approach. Different results emerged when comparing both methods. The findings revealed that the result on the fuzzy logic approach, which underpins artificial intelligence applications and which is used in various decision-making applications, is more consistent and objective. This study may shed light onto the researchers to obtain results that are more objective by conducting studies based on fuzzy logic-based survey. Besides, the validity and reliability analyzes made through the classical method with a similar method may also be carried out through the fuzzy logic method. These new results may be compared with those of the classical method. Thus, the objectivity of classical validity and reliability analyzes may also be examined.

groups

Çiğdem Apaydin mail -

Abdullah Kargin mail -

Sevilay Şahin mail

link https://doi.org/10.54216/IJNS.260113

Volume & Issue

Vol. Volume 26 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2025

Pentapartitioned Neutrosophic Dombi Weighted Aggregation Operator for MADM

This paper introduces the concept of Pentapartitioned Neutrosophic Numbers (PNNs) and proposes score and accuracy functions to effectively rank PNNs based on their score values. Utilizing the adaptability of Dombi operators to accommodate various parameters, the study applies these operators to address complex Multicriteria Attribute Group Decision Making (MAGDM) problems. To achieve precise aggregation under neutrosophic conditions, Dombi T-norm and T-conorm operations for two PNNs are defined. Building upon these Dombi operations, the paper presents two weighted aggregation operators—PNDWAA (Pentapartitioned Neutrosophic Dombi Weighted Arithmetic Average) and PNDWGA (Pentapartitioned Neutrosophic Dombi Weighted Geometric Average)—and investigates their properties within the pentapartitioned neutrosophic environment. Furthermore, the study explores a Multicriteria Attribute Decision Making (MADM) approach that utilizes either the PNDWAA or PNDWGA operators for decision-making.An illustrative example is provided to demonstrate the proposed method, offering a detailed step-by-step process that highlights the effectiveness of the approach in determining the optimal alternative based on ranking order.

groups

R. Radha mail -

R. Rajalakshmi mail -

B. Indhumathi mail -

R. Poornima mail -

M. Karthika mail -

M. Mary Victoria Florence mail

link https://doi.org/10.54216/IJNS.260114

Volume & Issue

Vol. Volume 26 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2025

Some results on fixed point in generalized metric spaces via an auxiliary function

In this manuscript, we elegantly delineate the concept of JSφ-contractions within the realm of JS-metric spaces, as articulated by Jleli and Samet. Utilizing these contractions, we have formulated a groundbreaking fixed point theorem that paves the way for a diverse array of fixed point results. Additionally, we demonstrate a fixed point result specifically for P-contractions in JS-metric spaces. To further enrich our discourse, we provide several examples that vividly illustrate the essence of our principal theorem.

groups

Maryam Hajjat mail -

Anwar Bataihah mail -

Ayman. A Hazaymeh mail

link https://doi.org/10.54216/IJNS.260115

Volume & Issue

Vol. Volume 26 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2025

The novel algebraic structure trigonometric Pythagorean neutrosophic set provides the basis for interaction weighted aggregating operators

We introduce new methods for the trigonometric Pythagorean neutrosophic set (TPNSS) via interaction aggregating operator in this study. A combination of the trigonometric operator and the Pythagorean neutrosophic set. The universal aggregation function is used to study the novel averaging and geometric interaction operations of Pythagorean neutrosophic numbers. The TPNSS are commutative, associative, idempotent, and boundedness compatible. TPNSS interaction weighted averaging, TPNSS interaction weighted geometric, generalized TPNSS interaction weighted averaging, and generalized TPNSS interaction weighted geometric are the four new interaction aggregating operators that are introduced. The Euclidean distance, Hamming distance, and score values are often assumed to represent the aggregation functions.

groups

P. Srikanth Rao mail -

R. Balaji mail -

Nasreen Kausar mail -

Tonguc Cagin mail

link https://doi.org/10.54216/IJNS.260116

Volume & Issue

Vol. Volume 26 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2025

Multi Criteria Decision Making Using Linguistic Fermatean Neutrosophic Number

The article aims to introduce the Linguistic Fermatean Neutrosophic set (LFNS) which is an important mathematical tool that helps to solve decision-making problems. LFNS is a generalization of the Linguistic Fermatean Fuzzy set (LFFS), by adding the truth, falsity and indeterminacy membership degrees to denote the uncertain information. Score and Accuracy functions are introduced to distinguish any two or more linguistic Pythagorean Neutrosophic Numbers. Weighted averaging and geometric aggregation operators with respect to linguistic Pythagorean neutrosophic weighted average and geometric, ordered weighted average are proposed. OEE (Overall Equipment Effectiveness) is the industry standard for measuring manufacturing productivity. It defines the percentage of manufacturing time that is productive. A 100% OEE score means that you are creating only high-quality products as soon as possible, with no downtime. By measuring OEE and the underlying losses, you will gain critical insights on how to systematically optimize your manufacturing process. OEE is the single most effective measure for detecting losses, assessing progress, and improving manufacturing equipment productivity (i.e., reducing waste). To adopt OEE practices in manufacturing industries, we must first understand, measure, and enhance OEE. The purpose of this research is to better understand OEE practices and their crucial aspects. The Human Arena, Engineering, Management, and Social elements are assessed, with sub-factors aggregated by similarity and analyzed using a LFNN. This method helps to comprehend the impact of each factor and ranks the group based on their influence in implementing the OEE practices effectively in an organization. The Engineering aspects and the Management aspects contribute a major role in the success of OEE. In this study, the assessment of numerous components and sub-factors involving determining the influence factor leading to OEE is translated into a Multi-Attribute Group Decision Making (MAGDM) problem and illustrated in the last section utilizing LFNN.

groups

E. Madhavan Pillai mail -

S. Vijayan mail -

R. Sundareswaran mail -

Said Broumi mail

link https://doi.org/10.54216/IJNS.260117

Volume & Issue

Vol. Volume 26 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2025

Continuous Maps and Irresolute Maps Via Fuzzy Hypersoft θ Open set

The purpose of this paper is to introduce and study fuzzy hypersoft θ continuous maps, fuzzy hypersoft θ semi continuous maps, fuzzy hypersoft θ pre continuous maps and fuzzy hypersoft θ irresolute maps in fuzzy hypersoft topological spaces with examples. Further, we derived some useful results and properties related to them.

groups

P. Revathi mail -

B. Premamalini mail -

K. Chitirakala mail -

A. Vadivel mail

link https://doi.org/10.54216/IJNS.260118

Volume & Issue

Vol. Volume 26 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2025

On the characterization of Harmonized fuzzy subgroups θ Open set

In this paper, we continue to discuss the concept of harmonized fuzzy subgroups. We present the harmonized fuzzy coset and harmonized fuzzy normal subgroup and their properties. We also study the effect of group homomorphism on harmonized fuzzy subgroups. Finally, we define and study the cartesian product of two harmonized fuzzy subgroups.

groups

Eman A. AbuHijleh mail -

Sara A. Khalil mail -

Sana Abu-Ghurra mail -

Ghada Alafifi mail

link https://doi.org/10.54216/IJNS.260119

Volume & Issue

Vol. Volume 26 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2025

New form of weighted interaction aggregating operators communicated with the reciprocal fractional floor function via the neutrosophic set

In this work, we present novel techniques for the reciprocal fractional floor function applied neutrosophic set (RFFFNS) via interaction aggregating operator. The neutrosophic set combined with the reciprocal fractional floor operator. The geometric interaction operations of neutrosophic numbers and their new averaging are studied using the universal aggregation function. The RFFFNS are idempotent, boundedness compatible, commutative, and associative. Four new interaction aggregating operators are introduced: RFFFNS interaction weighted averaging, RFFFNS interaction weighted geometric, generalized RFFFNS interaction weighted averaging, and generalized RFFFNS interaction weighted geometric. The aggregation functions are commonly assumed to be represented by the Euclidean distance, Hamming distance, and score values.

groups

D. Mahendar mail -

R. Balaji mail -

Nasreen Kausar mail -

Tonguc Cagin mail

link https://doi.org/10.54216/IJNS.260120

Volume & Issue

Vol. Volume 26 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2025

Neutrosophic Hierarchical Clustering: A Novel Approach for Handling Uncertainty in Multi-Level Data Organization

The most important stage of data mining is clustering. Several distinct clustering approaches like grid-based, density-based, partitioning, graph-based, model-based, and hierarchical clustering are used for cluster analysis. We can cluster data objects into hierarchical trees by using the hierarchical clustering approach. Hierarchical clustering, with its agglomerative and divisive types, uses nodes to represent clusters. Agglomerative clustering is favored, and high-quality clusters are essential for successful cluster analysis. Up to this point, numerous alternatives to the clustering technique have been proposed, including the fuzzy k-mean approach. The uncertainty resulting from numerical variations or unpredictable natural occurrences may be handled by any data mining techniques now in use. However, indeterminacy components may be present in current data mining challenges in real-world scenarios. Neutrosophic logic, applicable in various sectors, is gaining traction due to its efficiency and accuracy, attracting investment for its potential to improve human lives. The suggested approach outperforms current methods like fuzzy logic and k-means in its ability to forecast the number of clusters.

groups

Sitikantha Mallik mail -

Suneeta Mohanty mail -

Bhabani Shankar Prasad Mishra mail

link https://doi.org/10.54216/IJNS.260121

Volume & Issue

Vol. Volume 26 / Iss. Issue 1

Details open_in_new