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On Bipolar Fuzzy B-Subalgebras of B-Algebras

On Bipolar Fuzzy B-Subalgebras of B-Algebras

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Author(s): Tapan Senapati (Padima Janakalyan Banipith High School, India)
Copyright: 2017
Pages: 14
Source title: Emerging Research on Applied Fuzzy Sets and Intuitionistic Fuzzy Matrices
Source Author(s)/Editor(s): Amal Kumar Adak (Jafuly Deshpran High School, India), Debashree Manna (Damda Jr. High School, India)and Monoranjan Bhowmik (Vidyasagar Teacher’s Training College, India)
DOI: 10.4018/978-1-5225-0914-1.ch011

Keywords: Artificial Intelligence / Computer Science & IT / Engineering Science Reference

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Abstract

Based on the concept of bipolar fuzzy set, a theoretical approach of B-subalgebras of B-algebras are established. Some characterizations of bipolar fuzzy B-subalgebras of B-algebras are given. We have shown that the intersection of two bipolar fuzzy B-subalgebras is also a bipolar fuzzy B-subalgebra, but for the union it is not always true. We have also shown that if every bipolar fuzzy B-subalgebras has the finite image, then every descending chain of B-subalgebras terminates at finite step.

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