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Fuzzy Dot Structure of BG-algebras
Affiliation:1. Department of Mathematics, Padima Janakalyan Banipith, Vidyasagar University, Kukrakhupi- 721517, India;2. Department of Mathematics, V. T. T. College, Midnapore- 721101, India;3. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore- 721102, India
Abstract:In this paper, the notions of fuzzy dot subalgebras is introduced together with fuzzy normal dot subalgebras and fuzzy dot ideals of BG-algebras. The homomorphic image and inverse image are investigated in fuzzy dot subalgebras and fuzzy dot ideals of BG-algebras. Also, the notion of fuzzy relations on the family of fuzzy dot subalgebras and fuzzy dot ideals of BG-algebras are introduced with some related properties.
Keywords:Fuzzy dot subalgebra  Fuzzy normal dot subalgebra  Fuzzy dot ideal  Fuzzy relation
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