Fuzzy ideals in demi-pseudocomplemented MS-algebras
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In this paper, we study fuzzy congruences, kernel fuzzy ideals and $ (\circ,\ast)$-fuzzy ideals of a demi-pseudocomplemented MS-algebra $ L $. In particular, we study the fuzzy congruence relation generated by fuzzy relation and its properties. Also we prove that $(\circ,\ast)$-fuzzy ideals form a sublattice of fuzzy ideals of $ L $, and the set of these fuzzy ideals is isomorphic to the closed interval $ G_{F} $ and $\chi_{\iota} $ of the fuzzy congruence lattice of $ L $ where $ G_{F} $ is Glievenko fuzzy congruence and $ \chi_{\iota} $ is the universal fuzzy congruence.
Abstract
In this paper, we study fuzzy congruences, kernel fuzzy ideals and $ (\circ,\ast)$-fuzzy ideals of a demi-pseudocomplemented MS-algebra $ L $. In particular, we study the fuzzy congruence relation generated by fuzzy relation and its properties. Also we prove that $(\circ,\ast)$-fuzzy ideals form a sublattice of fuzzy ideals of $ L $, and the set of these fuzzy ideals is isomorphic to the closed interval $ G_{F} $ and $\chi_{\iota} $ of the fuzzy congruence lattice of $ L $ where $ G_{F} $ is Glievenko fuzzy congruence and $ \chi_{\iota} $ is the universal fuzzy congruence.
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