FUZZY OBSTINATE IDEALS IN MV-ALGEBRAS
Publish place: Journal of Algebraic Systems، Vol: 4، Issue: 2
Publish Year: 1396
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JAS-4-2_002
تاریخ نمایه سازی: 18 تیر 1398
Abstract:
In this paper, we introduce the notion of fuzzy obstinate ideals in MV -algebras. Some properties of fuzzy obstinateideals 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 relationships between fuzzy obstinate ideals and the other fuzzy ideals of an MV -algebra. We describe the transfer principle for fuzzy obstinate ideals in terms of level subsets. In addition, we show that if Μ is a fuzzy obstinate ideal of A such that M(0) 2 [0; 1=2], then A=Μ is a Boolean algebra. Finally, we define the notion of a normal fuzzy obstinate ideal and investigate some of its properties.
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Authors
F. Forouzesh
Faculty of Mathematics and Computing, Higher Education Complex of Bam, Ker- man, Iran