Distance and similarity measures between hesitant fuzzy sets and their application in pattern recognition

•We introduce hesitance degree of hesitant fuzzy element.•We propose novel distance between hesitant fuzzy sets.•We propose novel similarity measures between hesitant fuzzy sets.•We apply our similarity measure in pattern recognition. In this paper, we take into account the hesitance degree of hesit...

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Bibliographic Details
Published inPattern recognition letters Vol. 84; pp. 267 - 271
Main Authors Zeng, Wenyi, Li, Deqing, Yin, Qian
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.12.2016
Elsevier Science Ltd
Subjects
Artificial intelligence
Decision making
Distance measure
Fuzzy sets
Hesitance degree
Hesitant fuzzy sets
Pattern recognition
Set theory
Similarity
Similarity measure
Hesitant fuzzy sets
Hesitance degree
Pattern recognition
Similarity measure
Distance measure
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Summary:•We introduce hesitance degree of hesitant fuzzy element.•We propose novel distance between hesitant fuzzy sets.•We propose novel similarity measures between hesitant fuzzy sets.•We apply our similarity measure in pattern recognition. In this paper, we take into account the hesitance degree of hesitant fuzzy sets, introduce the concept of hesitance degree of hesitant fuzzy element which describes the decision maker’s hesitance in decision making process, and propose several novel distance and similarity measures between hesitant fuzzy sets. A comparison with the existing distance and similarity measures between hesitant fuzzy sets and a numerical example show that our proposed method is reasonable and valid.
ISSN:0167-8655
1872-7344
DOI:10.1016/j.patrec.2016.11.001