Fuzzy Dot Structure of BG-algebras |
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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 |
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Abstract: | In this paper, the notions of fuzzy dot subalgebras is introduced together with fuzzy normal dot subalgebras and fuzzy dot ideals of -algebras. The homomorphic image and inverse image are investigated in fuzzy dot subalgebras and fuzzy dot ideals of -algebras. Also, the notion of fuzzy relations on the family of fuzzy dot subalgebras and fuzzy dot ideals of -algebras are introduced with some related properties. |
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Keywords: | Fuzzy dot subalgebra Fuzzy normal dot subalgebra Fuzzy dot ideal Fuzzy relation |
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