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Distance Measure of Pythagorean Fuzzy Sets
Author(s) -
Li Deqing,
Zeng Wenyi
Publication year - 2018
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.21934
Subject(s) - pythagorean theorem , measure (data warehouse) , degree (music) , mathematics , fuzzy logic , pythagorean triple , fuzzy set , artificial intelligence , computer science , data mining , geometry , physics , acoustics
The main feature of Pythagorean fuzzy sets is that it is characterized by four parameters, namely membership degree, nonmembership degree, strength of commitment about membership, and direction of commitment. In this paper, we propose a variety of distance measures for Pythagorean fuzzy sets and Pythagorean fuzzy numbers, which take into account the four parameters of Pythagorean fuzzy sets. Finally, a numerical example is provided to illustrate the validity and applicability of the presented distance measures.