Point Of The Normalized L-of Fuzzy Group

Since L.A Zadeh, a famous American electronic engineering and cybernetics scientist, published <> since 1965, Fuzzy mathemati cs has developed quickly and displayed strong vitality in settling the fuzzy and uncertain questionso As a brand-new subject, Fuzzy mathematics extends mathematical basis of the classical mathematics, and its brand-new mathemat ics thinking and method have been expanded to some mathematics field, which makes some aspects of classic mathematics advancing more widely and more profoundly。Rosenfeld firstly introduced fuzzy sets to algebra field in 1971, fuzzy algebra appeared, finally, many algebra structure has been expanded to fuzzy structure。 Currently, there have been some articles on connecting fuzzy structure with algebra structure, The theories of L-Fuzzy subgroup and L-Fuzzy normal subgroup have developed perfectly。 But with the development of fuzzy set theory, all kinds of the structures are upgraded not only from their universes to lattices, but also from their universes to L-Fuzzy sets。 several basic properties of generated L-Fuzzy subgroups have been studied in reference[11]; some new characterizations of L-Fuzzy group homomorphis m have been given in reference[13]; the homomorphism and isomorphism of L-Fuzzy groups have been studied in references[7][12][14]。In this paper, Author gives the definitions of L-Fuzzy subgroup, L-Fuzzy normal subgroup, L-Fuzzy conjugate subgroup and L-Fuzzy direct product and studies their properties。 Finally, its homomorphism and isomorp hism have been studied with point wise bi-induced mapping。...