t-fuzzy congruences and t-fuzzy filters of a bl-algebra
نویسندگان
چکیده
in this note, we introduce the concept of a fuzzy filter of a blalgebra,with respect to a t-norm briefly, t-fuzzy filters, and give some relatedresults. in particular, we prove representation theorem in bl-algebras. thenwe generalize the notion of a fuzzy congruence (in a bl-algebra) was definedby lianzhen et al. to a new fuzzy congruence, specially with respect to a tnorm.we prove that there is a correspondence bijection between the set of allt-fuzzy filters of a bl-algebra and the set of all t-fuzzy congruences in thatbl-algebra. next, we show how t-fuzzy filters induce t-fuzzy congruences,and construct a new bl-algebras, called quotient bl-algebras, and give somehomomorphism theorems.
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عنوان ژورنال:
iranian journal of fuzzy systemsناشر: university of sistan and baluchestan
ISSN 1735-0654
دوره 6
شماره 4 2009
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