Title
Neutrosophic Fuzzy Set And Its Application In Decision Making
Abstract
Fuzzy set (FS) is used to tackle the uncertainty using the membership grade, whereas neutrosophic set (NS) is used to tackle uncertainty using the truth, indeterminacy and falsity membership grades which are considered as independent. In this paper, we introduce the notion of neutrosophic fuzzy set (NFS) by combining FS with NS, which gives rise to some new concepts. Since NFS finds some difficulties to deal with some real life problems due to the nonstandard interval of neutrosophic components, we introduce single valued NFS (SVNFS) which is considered as an instance of NFS. Some set theoretic operations of SVNFS are proposed and their properties are derived. We also propose the distance measures between two SVNFSs. Then a decision making approach is presented using similarity measures based on distance measures. Finally, we emonstrate the proposed approach using a numerical example.
Year
DOI
Venue
2020
10.1007/s12652-020-01808-3
JOURNAL OF AMBIENT INTELLIGENCE AND HUMANIZED COMPUTING
Keywords
DocType
Volume
Neutrosophic fuzzy set, Single valued neutrosophic fuzzy set, Distance measure, Similarity measure
Journal
11
Issue
ISSN
Citations 
11
1868-5137
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Sujit Das100.34
Bikash Koli Roy200.34
Mohuya B. Kar3254.53
Samarjit Kar460863.41
Dragan PamučAr513322.31