Hyper MV-Algebras Defined by Bipolar-valued Fuzzy Sets

M. Musa Hasankhani; Arsham Borumand Saeid

doi:10.2478/v10324-012-0003-6

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Hyper MV-Algebras Defined by Bipolar-valued Fuzzy Sets

M. Musa Hasankhani Arsham Borumand Saeid

Year: 2012 Journal: Annals of West University of Timisoara - Mathematics and Computer Science Vol: 50 (1) Publisher: De Gruyter Open

DOI: 10.2478/v10324-012-0003-6

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Abstract

In this paper the notion of hyper M V -algebra is extended via bipolar-valued fuzzy set and some theorems about this concept are stated and proved.The concepts of strong positive t-cut and strong negative s-cut of bipolar-valued fuzzy set are defined and some of their properties are studied.

Keywords:

Fuzzy logic Mathematics Algebra over a field Pure mathematics Computer science Artificial intelligence

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Advanced Algebra and Logic

Physical Sciences → Computer Science → Computational Theory and Mathematics

Rough Sets and Fuzzy Logic

Physical Sciences → Computer Science → Computational Theory and Mathematics

Fuzzy and Soft Set Theory

Social Sciences → Decision Sciences → Management Science and Operations Research

Hyper MV-Algebras Defined by Bipolar-valued Fuzzy Sets

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