Complex intuitionistic fuzzy sets

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2012Publisher:AIPJournal:AIP Conference Proceedings (issn: 0094-243X,

Authors: Abdulazeez S. Alkouri; Abdul Razak Salleh;

doi: 10.1063/1.4757515

Complex intuitionistic fuzzy sets

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Abstract

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.

Related Organizations

Universiti Malaysia Terengganu
Malaysia
National University of Malaysia
Malaysia

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