A new similarity measure between intuitionistic fuzzy sets and its application to pattern recognition
type: Item
instance of: scholarly article
title: A new similarity measure between intuitionistic fuzzy sets and its application to pattern recognition
zbMATH Open document ID: 1468.68242
DOI: 10.1155/2014/384241
author: Yafei Song
author: Lei Lei
author: Aijun Xue
author: Xiaodan Wang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: As a generation of ordinary fuzzy set, the concept of intuitionistic fuzzy set (IFS), characterized both by a membership degree and by a nonmembership degree, is a more flexible way to cope with the uncertainty. Similarity measures of intuitionistic fuzzy sets are used to indicate the similarity degree between intuitionistic fuzzy sets. Although many similarity measures for intuitionistic fuzzy sets have been proposed in previous studies, some of those cannot satisfy the axioms of similarity or provide counterintuitive cases. In this paper, a new similarity measure and weighted similarity measure between IFSs are proposed. It proves that the proposed similarity measures satisfy the properties of the axiomatic definition for similarity measures. Comparison between the previous similarity measures and the proposed similarity measure indicates that the proposed similarity measure does not provide any counterintuitive cases. Moreover, it is demonstrated that the proposed similarity measure is capable of discriminating difference between patterns.
Mathematics Subject Classification ID: 68T37
Mathematics Subject Classification ID: 03E72
Mathematics Subject Classification ID: 68T10
zbMATH DE Number: 7022277
Wikidata QID: Q59037039
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/384241
OpenAlex ID: W2142191316
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description: scientific article; zbMATH DE number 7022277