BM-algebras defined by bipolar-valued sets

Arsham Borumand Saeid

doi:10.17485/ijst/2012/v5i2.14

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BM-algebras defined by bipolar-valued sets

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2012/v5i2.14

Year: 2012, Volume: 5, Issue: 2, Pages: 1-8

Original Article

BM-algebras defined by bipolar-valued sets

Arsham Borumand Saeid

Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

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. Mathematics Subject Classification: 06F35, 03G25, 94D05