Applied Mathematics and Sciences: An International Journal (MathSJ )

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Applied Mathematics and Sciences: An International Journal (MathSJ )

ISSN : 2349 - 6223

https://www.airccse.com/mathsj/index.html

Pseudo Bipolar Fuzzy Cosets of Bipolar Fuzzy and Bipolar Anti-Fuzzy HX Subgroups

R. Muthuraj1 and M. Sridharan2, 1H.H.The Rajah,s College, India and 2PSNA College of Engineering and Technology, India

ABSTRACT
In this paper, we introduce the concept of pseudo bipolar fuzzy cosets, pseudo bipolar fuzzy double cosets of a bipolar fuzzy and bipolar anti-fuzzy subgroups. We also establish these concepts to bipolar fuzzy and bipolar anti-fuzzy HX subgroups of a HX group with suitable examples. Also we discuss some of their relative properties.

KEYWORDS

bipolar fuzzy set, bipolar fuzzy subgroup, bipolar anti-fuzzy subgroup, pseudo bipolar fuzzy cosets, pseudo bipolar fuzzy double cosets , bipolar fuzzy HX subgroup , bipolar anti-fuzzy HX subgroup. 

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