Scientiae Mathematicae Japonicae
Online ISSN : 1346-0447
ON (COMPLETE) NORMALITY OF FUZZY d-IDEALS IN d-ALGEBRAS
Sun Shin AhnKeum Sook So
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2008 年 68 巻 3 号 p. 345-352

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抄録
In this paper, we introduce the notion of normal fuzzy d-ideals, maximal fuzzy d-ideals and completely normal fuzzy d-ideals in d-transitive d-algebras. We investigate some interesting properties of normal (resp. maximal, completely normal) d-ideals. We show that every non-constant normal fuzzy d-ideal which is a maximal element of (N(X),⊆), where X is a d-transitive d-algebra, takes only the values 0 and 1, and every maximal fuzzy d-ideal in a d-transitive d-algebra is completely normal. Moreover, we state a fuzzy characteristic d-ideal in d-algebras.
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© 2008 International Society for Mathematical Sciences
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