Novel Distance Measures for Single-Valued Neutrosophic Fuzzy Sets and Their Applications to Multicriteria Group Decision-Making Problem

Single-valued neutrosophic sets are a hybrid of fuzzy sets that are used to represent uncertain, imprecise, partial, and inconsistent information in the actual world. The focus of this research is to develop two novel distance measures for single-valued neutrosophic fuzzy sets (SVNFSs). We introduce...

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Bibliographic Details
Published inJournal of function spaces Vol. 2022; pp. 1 - 11
Main Authors Jin, Yun, Kamran, Muhammad, Salamat, Nadeem, Zeng, Shouzhen, Khan, Riaz Hussain
Format Journal Article
LanguageEnglish
Published New York Hindawi 2022
Hindawi Limited
Wiley
Subjects
Algorithms
Decision making
Fuzzy sets
Multiple criterion
Random variables
Set theory
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Summary:Single-valued neutrosophic sets are a hybrid of fuzzy sets that are used to represent uncertain, imprecise, partial, and inconsistent information in the actual world. The focus of this research is to develop two novel distance measures for single-valued neutrosophic fuzzy sets (SVNFSs). We introduced two new distance measures named dηG,Y and dζG,Y for SVNFSs and apply these measures to different examples and also compare them with existing measures to show the validity of our proposed measures. Our results are reliable and useful for decision-making problems. We also proposed an algorithm for multicriteria group decision-making. Based on this algorithm, we find the ranking matrices using proposed distance measures. We also give an example to demonstrate the notion and concept of our algorithm.
ISSN:2314-8896
2314-8888
DOI:10.1155/2022/7233420