Bi-filters of ordered semigroups related to fuzzy points

초록

A generalization of an (∈, ∈ V q)-fuzzy bi-filter (resp. (∈, ∈ V q)-fuzzy bi-filter) of an ordered semigroup is discussed. Characterizations of an (∈, ∈ V qk)-fuzzy bi-filter and an (∈, ∈ V qk)-fuzzy bi-filter are provided. Relations between fuzzy bi-filters and (∈, ∈ V qk)-fuzzy bifilters (resp. (∈, ∈ V qk)-fuzzy bi-filters) are described. Conditions for an (∈, ∈ V qk)-fuzzy bi-filter (resp. (∈, ∈ V 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 (∈, ∈ V qk)-fuzzy bi-filter and an (∈, ∈ V qk)-fuzzy bi-filter are discussed. © 2014 Young Bae Jun, Yun Sun Hwang and Sun Shin Ahn.

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