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On complex fuzzy sets

10th IEEE International Conference on Fuzzy Systems. (Cat. No.01CH37297), 2002
The innovative concept of complex fuzzy sets is introduced. The novelty of the complex fuzzy set lies in the range of values its membership function may attain. In contrast to a traditional fuzzy membership function, this range is not limited to [0,1] but extended to the unit circle in the complex plane.
D. Ramot   +4 more
openaire   +1 more source

Complex Fuzzy Sets and Complex Fuzzy Logic an Overview of Theory and Applications

Fifty Years of Fuzzy Logic and its Applications, 2015
Fuzzy Logic, introduced by Zadeh along with his introduction of fuzzy sets, is a continuous multi-valued logic system. Hence, it is a generalization of the classical logic and the classical discrete multi-valued logic (e.g. Łukasiewicz’ three/many-valued logic). Throughout the years Zadeh and other researches have introduced extensions to the theory of
D. Tamir, N. Rishe, A. Kandel
semanticscholar   +2 more sources

Complex intuitionistic fuzzy sets

AIP Conference Proceedings, 2012
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.
Abdulazeez (Moh'd Jumah) S. Alkouri   +1 more
openaire   +1 more source

Multi-Fuzzy Complex Numbers and Multi-Fuzzy Complex Sets

International Journal of Fuzzy System Applications, 2015
This paper presents a method to construct more general fuzzy complex numbers and sets from ordinary fuzzy complex numbers by introduced the ordered sequences of membership functions. It is concluded that multi-fuzzy complex set is an extension of Buckley fuzzy complex set.
Asit Dey, Madhumangal Pal
openaire   +1 more source

Complex fuzzy soft expert sets

AIP Conference Proceedings, 2017
Complex fuzzy sets and its accompanying theory although at its infancy, has proven to be superior to classical type-1 fuzzy sets, due its ability in representing time-periodic problem parameters and capturing the seasonality of the fuzziness that exists in the elements of a set.
Ganeshsree Selvachandran   +2 more
openaire   +1 more source

Fuzzy Complex-Valued Fuzzy Measure Base on Fuzzy Complex Sets

2012
Based on the conception of fuzzy complex-valued measure, Firstly, the definition of fuzzy complex-valued fuzzy measure on the fuzzy complex sets is introduced, the properties of them is discussed, and gain some better results; Secondly, we introduce the conception of fuzzy complex-valued fuzzy measurable function on fuzzy complex sets , and finally ...
Zhi-qing Zhao, Sheng-quan Ma
openaire   +1 more source

Fuzzy parameterized complex multi-fuzzy soft expert sets

AIP Conference Proceedings, 2019
This paper presents a new approach to time-series applications, called the fuzzy parameterized complex multi-fuzzy soft expert set FPCM k FSE – set. Some operations related to this new concept are defined, such as equal, subset, complement, union and intersection.
Yousef Al-Qudah, Nasruddin Hassan
openaire   +1 more source

Approximate orthogonality of complex fuzzy sets and approximately orthogonality preserving operators

Journal of Intelligent & Fuzzy Systems, 2019
This paper presents the notion of approximate orthogonality of complex fuzzy sets, which is a generalization of the existing concept. Based on the new concept, we present some basic properties of the approximate orthogonality of complex fuzzy sets ...
Bo Hu, Lvqing Bi, Songsong Dai
semanticscholar   +1 more source

The parallelity of complex fuzzy sets and parallelity preserving operators

Journal of Intelligent & Fuzzy Systems, 2018
Complex fuzzy sets have been successfully applied to many domains. In some applications, complex fuzzy operators play an vital role, especially those results depend on the particular choice of the conjunction, disjunction and complement operators.
Lvqing Bi   +3 more
semanticscholar   +1 more source

Interval-valued complex fuzzy soft sets

AIP Conference Proceedings, 2017
Type-2 fuzzy sets allow us to incorporate the uncertainties about the membership functions into fuzzy sets, thereby overcoming a problem that is inherent in type-1 fuzzy sets, which does not allow for any uncertainty in assigning values to the membership functions.
Ganeshsree Selvachandran   +1 more
openaire   +1 more source

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