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New types of fuzzy ideals in BCK/BCI-algebras

โœ Scribed by Young Bae Jun; Kyoung Ja Lee; Chul Hwan Park

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
402 KB
Volume
60
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

โˆˆ, โˆˆ โˆจ q k )-fuzzy ideal Fuzzy ideal with thresholds Fuzzifying ideal t-implication-based fuzzy ideal a b s t r a c t A generalization of an (โˆˆ, โˆˆ โˆจq)-fuzzy ideal of a BCK/BCI-algebra is discussed. Characterizations of an (โˆˆ, โˆˆ โˆจq k )-fuzzy ideal and an (โˆˆ, โˆˆโˆจq k )-fuzzy ideal are provided. Conditions for an (โˆˆ, โˆˆ โˆจq k )-fuzzy ideal (resp. (โˆˆ, โˆˆ โˆจ q k )-fuzzy ideal) to be a fuzzy ideal are provided. Using the notion of a fuzzy ideal with thresholds, characterizations of a fuzzy ideal, an (โˆˆ, โˆˆ โˆจq k )-fuzzy ideal and an (โˆˆ, โˆˆ โˆจ q k )-fuzzy ideal are discussed.

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