FUZZY OBSTINATE IDEALS IN MV -ALGEBRAS

Abstract. In this paper, we introduce the notion of fuzzy obsti- nate ideals in MV -algebras. Some properties of fuzzy obstinate ideals are given. Not only we give some characterizations of fuzzy obstinate ideals, but also bring the extension theorem of fuzzy obstinate ideal of an MV -algebra A. We investigate the relation- ships between fuzzy obstinate ideals and the other fuzzy ideals of an MV -algebra. We describe the transfer principle for fuzzy ob- stinate ideals in terms of level subsets. In addition, we show that if  is a fuzzy obstinate ideal of A such that (0) 2 [0; 1=2], then A= is a Boolean algebra. Finally, we dene the notion of a normal fuzzy obstinate ideal and investigate some of its properties.