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BM-algebras Defined by Bipolar-valued Sets


Affiliations
1 Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran, Islamic Republic of
 

In this note, by using the concept of Bipolar-valued fuzzy set, the notion of bipolar-valued fuzzy BM-algebra is introduced. Moreover, the notions of (strong) negative s-cut (strong) positive t-cut are introduced and the relationship between these notions and crisp sub-algebras are studied.

Keywords

BM-algebra, Bipolar-valued Fuzzy Sets, Negative S-cut, (strong) Positive T-cut
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  • BM-algebras Defined by Bipolar-valued Sets

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Authors

Arsham Borumand Saeid
Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran, Islamic Republic of

Abstract


In this note, by using the concept of Bipolar-valued fuzzy set, the notion of bipolar-valued fuzzy BM-algebra is introduced. Moreover, the notions of (strong) negative s-cut (strong) positive t-cut are introduced and the relationship between these notions and crisp sub-algebras are studied.

Keywords


BM-algebra, Bipolar-valued Fuzzy Sets, Negative S-cut, (strong) Positive T-cut

References





DOI: https://doi.org/10.17485/ijst%2F2012%2Fv5i2%2F30344