Novel distance measure between intuitionistic fuzzy sets and its application in pattern recognition
Publish place: Iranian Journal of Fuzzy Systems، Vol: 19، Issue: 3
Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJFS-19-3_009
تاریخ نمایه سازی: 17 خرداد 1401
Abstract:
In this article, we propose a new distance measure between intuitionistic fuzzy sets(IFSs), which takes into account the membership degree, non-membership degree, and their difference between membership and non-membership degree of intuitionistic fuzzy sets, as well as the exponential distance measure to avoid information loss. Meanwhile we prove that it satisfies the axiomatic definition of distance measure, and do comparison analysis with some widely used distance measures. Finally, we apply our distance measure in pattern recognition, these results show that our distance measure can significantly overcome the drawback of information loss and have more widely application scope.
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Authors
W. Y. Zeng
School of Artificial Intelligence, Beijing Normal University, Beijing ۱۰۰۸۷۵, PR China
H. S. Cui
School of Artificial Intelligence, Beijing Normal University, Beijing ۱۰۰۸۷۵, PR China
Y. Q. Liu
School of Artificial Intelligence, Beijing Normal University, Beijing ۱۰۰۸۷۵, PR China
Q. Yin
School of Artificial Intelligence, Beijing Normal University, Beijing ۱۰۰۸۷۵, PR China
Z. S. Xu
Business School, Sichuan University, Chengdu ۶۱۰۰۶۴, PR China