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Bi-filters of ordered semigroups related to fuzzy points
- Issue Date
- 2014
- Keywords
- (∈, ∈ V qk)-fuzzy bi-filter; (∈, ∈V q)-fuzzy bi-filter; Fuzzy bi-filter; Fuzzy bi-filter with thresholds
- Citation
- Applied Mathematical Sciences, v.8, no.21-22, pp 1011 - 1029
- Pages
- 19
- Indexed
- SCOPUS
- Journal Title
- Applied Mathematical Sciences
- Volume
- 8
- Number
- 21-22
- Start Page
- 1011
- End Page
- 1029
- ISSN
- 1312-885X
- 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. © 2014 Young Bae Jun, Yun Sun Hwang and Sun Shin Ahn.
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Related Researcher
- Ahn, Sun Shin
- College of Education (Department of Mathematics Education)