Novel Distance Measures for Single-Valued Neutrosophic Fuzzy Sets and Their Applications to Multicriteria Group Decision-Making Problem. (7th March 2022)

• Record Type: Journal Article
• Authors: Jin, Yun; Kamran, Muhammad; Salamat, Nadeem; Zeng, Shouzhen; Khan, Riaz Hussain
• Other Names: Gulzar Muhammad Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-03-07
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/7233420
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : 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 d η G, Y and d ζ G, 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.