FUZZY OBSTINATE IDEALS IN MV-ALGEBRAS | ||
| Journal of Algebraic Systems | ||
| مقاله 2، دوره 4، شماره 2، فروردین 2017، صفحه 97-101 اصل مقاله (153.1 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2017.851 | ||
| نویسنده | ||
| F. Forouzesh* | ||
| Faculty of Mathematics and Computing, Higher Education Complex of Bam, Ker- man, Iran | ||
| چکیده | ||
| In this paper, we introduce the notion of fuzzy obstinate 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 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. | ||
| کلیدواژهها | ||
| MV-algebra؛ fuzzy normal؛ fuzzy obstinate؛ fuzzy Boolean | ||
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آمار تعداد مشاهده مقاله: 1,300 تعداد دریافت فایل اصل مقاله: 1,072 |
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