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


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

R.Muthuraj and M.Sridharan

PG & Research Department of Mathematics, H.H.The Rajah’s College, Pudukkottai – 622 001, Tamilnadu, India. Department of Mathematics, PSNA College of Engineering and Technology, Dindigul-624 622, Tamilnadu, 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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