Abstract:
the aim of this paper is to introduce a concept of AT-subalgebras, AT-ideals, and investigated some related properties of them. And study fuzzy AT-subalgebras, fuzzy AT-ideals and fuzzy AT-filters of AT-algebras and investigate some of its properties. The notions of upper t-(strong) level subsets and lower t-(strong) level subsets are introduced from some fuzzy sets, and its characterizations are given. We define complement of fuzzy set in AT-algebras and related properties are investigated.
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