Generalized Fuzzy Topologys Aand Many-valued Implications

In this paper, firstly by the use of the relations between fuzzy points and fuzzy sets andimplication operators of fuzzy logic, definitions of (β ,a )-fuzzy topology and R-fuzzytopology are given. Two new fuzzy topologies called (∈,∈∨q)-fuzzy topology and (∈,∈∨q)-fuzzy topology are obtained, relations between (β,a )-fuzzy topology and R-fuzzytopology are discussed.Secondly, concept of (λ, μ]-fuzzy topology is given. (λ,μ]-fuzzytopology generalizes fuzzifying topology, (∈,∈∨q)-fuzzy topology ,R -fuzzy topology . Finally, RG-fuzzifying topology is discussed .