Complex Intuitionistic Fuzzy Sets

被引：397

作者：

Alkouri, Abdulazeez S. ^{[1
]}

Salleh, Abdul Razak ^{[1
]}

机构：

[1] Univ Kebangsaan Malaysia, Sch Math Sci, Ukm Bangi 43600, Selangor DE, Malaysia

来源：

INTERNATIONAL CONFERENCE ON FUNDAMENTAL AND APPLIED SCIENCES 2012 (ICFAS2012) | 2012年 / 1482卷

关键词：

Fuzzy sets; Intuitionistic fuzzy sets; Complex fuzzy sets; Complex intuitionistic fuzzy sets;

D O I：

10.1063/1.4757515

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

This paper presents a new concept of complex intuitionistic fuzzy set (CIFS) which is generalized from the innovative concept of a complex fuzzy set (CFS) by adding the non-membership term to the definition of CFS. The novelty of CIFS lies in its ability for membership and non-membership functions to achieve more range of values. The ranges of values are extended to the unit circle in complex plane for both membership and non-membership functions instead of [0, 1] as in the conventional intuitionistic fuzzy functions. We define basic operations namely complement, union, and intersection on CIFSs. Properties of these operations are derived.

引用

页码：464 / 470

页数：7

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