Fuzzy GE-filters of GE-algebras

In this paper, notions of ∈t-set and Qt-set of a fuzzy set f in aGE-algebra X are introduced and defined fuzzy GE-algebra in terms of ∈t-set. We provided conditions for the ∈t-set and Qt-set of a fuzzy set f to be GE-subalgebras of X. We provided conditions for a fuzzy set in a GE-algebra to be a fuzzy GE-algebra. The concept of fuzzy GE-filter of a GE-algebra is introduced and investigated its properties. We explored the conditions under which the ∈t-set and Qt-set can be GE-filters. Some characterizations of fuzzy GE-filters of GE-algebras are given.

کلیدواژه ها:

fuzzy GE-algebra ، fuzzy GE-filter ، ∈t-set ، Qt-set