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fuzzy obstinate ideals in mv-algebras
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نویسنده
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forouzesh f.
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منبع
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journal of algebraic systems - 2017 - دوره : 4 - شماره : 2 - صفحه:97 -101
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چکیده
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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 μ(0) ∈ [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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کلیدواژه
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mv-algebra ,fuzzy normal ,fuzzy obstinate ,fuzzy boolean
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آدرس
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higher education complex of bam, faculty of mathematics and computing, ایران
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پست الکترونیکی
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frouzesh@bam.ac.ir
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Authors
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