On the Term Functions and Fundamental Relation of a Fuzzy Hyperalgebra
نویسندگان
چکیده
In this paper, we start from this idea that the set of nonzero fuzzy subsets of a fuzzy hyperalgebra can be organized naturally as a universal algebra, and constructing the term functions over this algebra we can deduce some results on fuzzy hyperalgebras from some of the very known properties of the term functions of a universal algebra. Also, we present the form of the generated subfuzzy hyperalgebra in two theorem, which in the particular cases of the universal algebras and multialgebras are already known. In the last section we will present the form of the fundamental relation of a fuzzy hyperalgebra, i.e. the smallest equivalence relation for which the quotient set, considered as a hyperalgebra, is a universal algebra.
منابع مشابه
Term Functions and Fundamental Relation of Fuzzy Hyperalgebras
We introduce and study term functions over fuzzy hyperalgebras. We start from this idea that the set of nonzero fuzzy subsets of a fuzzy hyperalgebra can be organized naturally as a universal algebra, and constructing the term functions over this algebra. We present the form of generated subfuzzy hyperalgebra of a given fuzzy hyperalgebra as a generalization of universal algebras and multialgeb...
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