CHAIN CONDITIONS ON FUZZY POSITIVE IMPLICATIVE FILTERS OF BL-ALGEBRAS

Authors : H. HEDAYATİ ,  y.b. JUN

Pages : 819-828

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Publication Date : 2011-06-01

Article Type : Research Paper

Abstract :In this paper, we discuss chain conditions of fuzzy positive implicative filters of BL-algebras. Specially, by using the notions of maximal and normal fuzzy positive implicative filters, we show that under certain conditions a fuzzy positive implicative filter is two-valued and takes the values 0 and 1. 
Keywords : BL algebra, Positive implicative filter, Normal fuzzy positive implicative filter, Maximal fuzzy positive implicative filter