FUZZY ASTERISK SUBALGEBRAS AND FUZZY ASTERISK IDEALS OF GK-ALGEBRA

FUZZY ASTERISK SUBALGEBRAS AND FUZZY ASTERISK IDEALS OF GK-ALGEBRA

M. H. J. Begum, M. T. Fajeela

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Abstract

In this paper, the notation of fuzzy asterisk subalgebras and fuzzy asterisk ideals of GK-algebra are introduced and investigated some of their properties. The homomorphic inverse image of fuzzy asterisk subalgebras and fuzzy asterisk ideals are studied. Also introduced the notation of fuzzy relations on the family of fuzzy asterisk subalgebras and fuzzy asterisk ideals of GK-algebra and investigated some related properties.

Keywords

GK-algebra, fuzzy asterisk subalgebra, fuzzy asterisk ideal, fuzzy ρ−product relation.