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3 results on '"multi-valued neutrosophic numbers"'

1. Calculation of Fuzzy shortest path problem using Multi-valued Neutrosophic number under fuzzy environment

Author

Prasanta Kumar Raut, Siva Prasad Behera, Said Broumi, and Debdas Mishra

Subjects
directed graph network, multi-valued neutrosophic numbers, selection sort technique, shortest path problem, Mathematics, QA1-939, Electronic computers. Computer science, QA75.5-76.95
Abstract

The most well-known subject in graph theory is the shortest path problem (SPP), which has real-world applications in several different fields of study, including transportation, emergency services, network communications, fire station services, etc. The arc weights of the applicable SP problems are typically represented by fuzzy numbers in real-world applications. In this paper, we discussed the process of finding the shortest distance in a connected graph network in which the arc weights are multi-valued neutrosophic numbers (MNNs). Moreover, here we compare our method with some of the existing results and illustrate one implementation of our method with the help of one numerical example.

Published
2023
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2. Calculation of Fuzzy shortest path problem using Multi-valued Neutrosophic number under fuzzy environment.

Author

Raut, Prasanta Kumar, Behera, Siva Prasad, Broumi, Said, and Mishra, Debdas

Subjects
*GRAPH theory, *GRAPH connectivity, *DIRECTED graphs, *FIRE stations, *TELECOMMUNICATION systems, *SERVICE stations, *FUZZY numbers
Abstract

The most well-known subject in graph theory is the shortest path problem (SPP), which has real-world applications in several different fields of study, including transportation, emergency services, network communications, fire station services, etc. The arc weights of the applicable SP problems are typically represented by fuzzy numbers in real-world applications. In this paper, we discussed the process of finding the shortest distance in a connected graph network in which the arc weights are multi-valued neutrosophic numbers (MNNs). Moreover, here we compare our method with some of the existing results and illustrate one implementation of our method with the help of one numerical example. [ABSTRACT FROM AUTHOR]

Published
2023

3. Multi-valued Neutrosophic Sets and Power Aggregation Operators with Their Applications in Multi-criteria Group Decision-making Problems

Author

Xiaohong Chen, Jing Wang, Juan-juan Peng, Jian-qiang Wang, and Xiao-hui Wu

Subjects
General Computer Science, Degree (graph theory), business.industry, HFSS, Group (mathematics), Fuzzy set, Multi-criteria group decision-making, intuitionistic fuzzy sets, multi-valued neutrosophic numbers, multi-valued neutrosophic power, lcsh:QA75.5-76.95, Group decision-making, Set (abstract data type), Algebra, Computational Mathematics, symbols.namesake, Operator (computer programming), multi-valued neutrosophic sets, symbols, Artificial intelligence, lcsh:Electronic computers. Computer science, Einstein, business, power aggregation operators, Mathematics
Abstract

In recent years, hesitant fuzzy sets (HFSs) and neutrosophic sets (NSs) have become a subject of great interest forresearchers and have been widely applied to multi-criteria group decision-making (MCGDM) problems. In thispaper, multi-valued neutrosophic sets (MVNSs) are introduced, which allow the truth-membership, indeterminacy membershipand falsity-membership degree have a set of crisp values between zero and one, respectively. Then theoperations of multi-valued neutrosophic numbers (MVNNs) based on Einstein operations are defined, and acomparison method for MVNNs is developed depending on the related research of HFSs and Atanassov’sintuitionistic fuzzy sets (IFSs). Furthermore, the multi-valued neutrosophic power weighted average (MVNPWA)operator and the multi-valued neutrosophic power weighted geometric (MVNPWG) operator are proposed and thedesirable properties of two operators are also discussed. Finally, an approach for solving MCGDM problems isexplored by applying the power aggregation operators, and an example is provided to illustrate the application ofthe proposed method, together with a comparison analysis.

Published
2014
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