Some Operations on Complex Atanassov's Intuitionistic Fuzzy Sets

被引：33

作者：

Alkouri, Abd Ulazeez M. ^{[1
]}

Salleh, Abdul Razak ^{[1
]}

机构：

[1] Univ Kebangsaan Malaysia, Fac Sci & Technol, Sch Math Sci, Ukm Bangi 43600, Selangor De, Malaysia

来源：

2013 UKM FST POSTGRADUATE COLLOQUIUM | 2013年 / 1571卷

关键词：

Complex fuzzy set; complex Atanassov's intuitionistic fuzzy set; Atanassov's intuitionistic fuzzy sets; necessity operation and possibility operation; AGGREGATION OPERATORS;

D O I：

10.1063/1.4858782

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

Several innovative uncertainty sets were introduced recently. Complex Atanassov's intuitionistic fuzzy set (CAIFS) is one of these uncertainty sets, where Atanassov's intuitionistic fuzzy membership and non-membership functions take values in the unit circle in the complex plane. In this paper, some operations are generalised to the case of CAIFS. Two main operations square and lozenge are introduced and various properties are investigated. Also, we conclude the advantage from generalising these two operations to the realm of complex numbers, by finding out a relationship between the concepts of CAIFS and complex fuzzy sets (CFS).

引用

页码：987 / 993

页数：7

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