Distances of complex fuzzy sets and continuity of complex fuzzy operations

Bo Hu · Lvqing Bi · Songsong Dai · Sizhao Li

61 citations0/0 files storedJournal of Intelligent & Fuzzy Systems

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Fuzzy and Soft Set Theory Advanced Algebra and Logic Fuzzy Systems and Optimization

Abstract

A complex fuzzy set is a set whose membership values are vectors in the unit circle in the complex plane. To enhance and extend the applicability of complex fuzzy sets, this paper investigates and develops different types of distance measures for complex fuzzy sets. Several distance measures of complex fuzzy sets are introduced. After that, the application of these distances to continuity problems of complex fuzzy operations is given.

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References

2013Pythagorean Membership Grades, Complex Numbers, and Decision Making 2002Complex fuzzy sets 2017A systematic review of complex fuzzy sets and logic 2009Operation properties and δ -equalities of complex fuzzy sets 2011A new interpretation of complex membership grade 2014Linguistic variable, hedges and several distances on complex fuzzy sets

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