1. Some Operations on Complex Atanassov's Intuitionistic Fuzzy Sets.
- Author
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Alkouri, Abd Ulazeez M. and Salleh, Abdul Razak
- Subjects
- *
FUZZY sets , *INTUITIONISTIC mathematics , *UNCERTAINTY , *SET theory , *INTERSECTION theory , *COMPUTATIONAL complexity , *CONSTRUCTIVE mathematics - Abstract
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 and ◇ 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). [ABSTRACT FROM AUTHOR]
- Published
- 2013
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