Bi-filters of ordered semigroups related to fuzzy points

Young Bae Jun; Sun Shin Ahn; Asghar Khan

doi:10.12988/ams.2014.312695

Bi-filters of ordered semigroups related to fuzzy points

Young Bae Jun, Sun Shin Ahn, Asghar Khan

Department of Mathematics Education

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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 q_k)-fuzzy bi-filter and an (∈, ∈ V q_k)-fuzzy bi-filter are provided. Relations between fuzzy bi-filters and (∈, ∈ V q_k)-fuzzy bifilters (resp. (∈, ∈ V q_k)-fuzzy bi-filters) are described. Conditions for an (∈, ∈ V q_k)-fuzzy bi-filter (resp. (∈, ∈ V q_k)-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 q_k)-fuzzy bi-filter and an (∈, ∈ V q_k)-fuzzy bi-filter are discussed.

Original language	English
Pages (from-to)	1011-1029
Number of pages	19
Journal	Applied Mathematical Sciences
Volume	8
Issue number	21-22
DOIs	https://doi.org/10.12988/ams.2014.312695
State	Published - 2014

Keywords

(∈, ∈ V q)-fuzzy bi-filter
(∈, ∈V q)-fuzzy bi-filter
Fuzzy bi-filter
Fuzzy bi-filter with thresholds

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10.12988/ams.2014.312695

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title = "Bi-filters of ordered semigroups related to fuzzy points",

abstract = "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.",

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AB - 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.

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Bi-filters of ordered semigroups related to fuzzy points

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