Fuzzy Ideals Of Rings Of Strong Cut-off Set-induced Cell Passing Fuzzy Homomorphism,

This article firstly introduced strong cut set constructed by fuzzy ideal of a ring, discussed its structure and obtained modular lattice. When the ring is stepped up principle ideal ring, we prove that strong cut set of fuzzy ideal's product is equal to strong cut se s product which are ideals of a ring. Secondly, we discussed the relation between fuzzy ideal of Boolean ring and cross-semi lattice formed by accompanying fuzzy subset. At last, the concepts of fuzzy homomorphism and fuzzy weak homomorphism of lattice are introduced by fuzzy mapping of the classical sets. Some correspondence relations among fuzzy sub-lattices (fuzzy ideals) under fuzzy homomorphism and fuzzy weak homomorphism are obtained. The ideal of lattice is gained and the isomorphism among lattices is established by use of the fuzzy homomorphism. Moreover, based, on mapping under fuzzy homomorphism, the weak homomorphism (epimorphism) of fuzzy sub-lattices are studied.