Artificial Intelligence


Distance Measure of Pythagorean Fuzzy Sets

Authors: Fuyuan Xiao

The Pythagorean fuzzy set (PFS), as an extension of intuitionistic fuzzy set, is more capable of expressing and handling the uncertainty under uncertain envi- ronments. Whereas, how to measure the distance between Pythagorean fuzzy sets appropriately is still an open issue. Therefore, a novel distance measure between Pythagorean fuzzy sets is proposed based on the Jensen{Shannon di- vergence in this paper. The new distance measure has the following merits: i) it meets the axiomatic de nition of distance measure; ii) it can better indicate the discrimination degree of PFSs. Then, numerical examples are demonstrated that the PFSJS distance measure is feasible and reasonable.

Comments: 10 Pages.

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Submission history

[v1] 2018-11-26 22:55:36

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