modularity of ajmal for the lattices of fuzzy ideals of a ring
نویسندگان
چکیده
in this paper, we construct two fuzzy sets using the notions of level subsets and strong level subsets of a given fuzzy set in a ring r. these fuzzy sets turn out to be identical and provide a universal construction of a fuzzy ideal generated by a given fuzzy set in a ring. using this construction and employing the technique of strong level subsets, we provide the shortest and direct fuzzy set theoretic proof of the fact that the lattice $vartheta$(r) of all fuzzy ideals of a ring r is modular.
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عنوان ژورنال:
iranian journal of fuzzy systemsناشر: university of sistan and baluchestan
ISSN 1735-0654
دوره 5
شماره 2 2008
کلمات کلیدی
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