期刊
APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B
卷 34, 期 2, 页码 229-252出版社
ZHEJIANG UNIV, EDITORIAL COMMITTEE APPLIED MATHEMATICS
DOI: 10.1007/s11766-019-3708-x
关键词
Fuzzy sets (FSs); Intuitionistic fuzzy sets (IFSs); Most intuitionistic fuzzy sets (MIFSs); Similarity measure (SM); Transformed triangular fuzzy numbers (TTFNs)
Similarity measure is an essential tool to compare and determine the degree of similarity between intuitionistic fuzzy sets (IFSs). In this paper, a new similarity measure between intuitionistic fuzzy sets based on the mid points of transformed triangular fuzzy numbers is proposed. The proposed similarity measure provides reasonable results not only for the sets available in the literature but also gives very reasonable results, especially for fuzzy sets as well as for most intuitionistic fuzzy sets. To provide supportive evidence, the proposed similarity measure is tested on certain sets available in literature and is also applied to pattern recognition and medical diagnosis problems. It is observed that the proposed similarity measure provides a very intuitive quantification.
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