A New Similarity Measure between Intuitionistic Fuzzy Sets and Its Application to Pattern Recognition
Joint Authors
Song, Yafei
Wang, Xiaodan
Lei, Lei
Xue, Aijun
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-27
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Song, Yafei& Wang, Xiaodan& Lei, Lei& Xue, Aijun. 2014. A New Similarity Measure between Intuitionistic Fuzzy Sets and Its Application to Pattern Recognition. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1013815
Modern Language Association (MLA)
Song, Yafei…[et al.]. A New Similarity Measure between Intuitionistic Fuzzy Sets and Its Application to Pattern Recognition. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1013815
American Medical Association (AMA)
Song, Yafei& Wang, Xiaodan& Lei, Lei& Xue, Aijun. A New Similarity Measure between Intuitionistic Fuzzy Sets and Its Application to Pattern Recognition. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1013815
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013815