Bi-Filters of Ordered Semigroups Related to Fuzzy Points
نویسندگان
چکیده
A generalization of an (∈, ∈ ∨ q)-fuzzy bi-filter (resp. (∈, ∈ ∨ q)fuzzy bi-filter) of an ordered semigroup is discussed. Characterizations of an (∈, ∈ ∨ qk)-fuzzy bi-filter and an (∈, ∈ ∨ qk)-fuzzy bi-filter are provided. Relations between fuzzy bi-filters and (∈, ∈ ∨ qk)-fuzzy bifilters (resp. (∈, ∈ ∨ qk)-fuzzy bi-filters) are described. Conditions for an (∈, ∈∨ qk)-fuzzy bi-filter (resp. (∈, ∈ ∨ qk)-fuzzy bi-filter) to be a fuzzy bi-filter are provided. Using the notion of a fuzzy bi-filter with thresholds, characterizations of a fuzzy bi-filter , an (∈, ∈ ∨ qk)-fuzzy bi-filter and an (∈, ∈ ∨ qk)-fuzzy bi-filter are discussed. *Corresponding author. Tel: +82 2 2260 3410, Fax: +82 2 2266 3409 1012 Young Bae Jun, Sun Shin Ahn and Asghar Khan Mathematics Subject Classification: 05E72, 20M10
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