عنوان
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Weak Fuzzy Topology on Vector Spaces
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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Fuzzy topology, weak fuzzy topology, duality
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چکیده
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In this paper, we study the concept of weak linear fuzzy topology on a fuzzy topological vector space as a generalization of usual weak topology. We prove that this fuzzy topology consists of all weakly lower semi-continuous fuzzy sets on a given vector space when K (R or C) endowed with its usual fuzzy topology. In the case that the fuzzy topology of K is di erent from the usual fuzzy topology, we show that the weak fuzzy topology is not equivalent with the fuzzy topology of weakly lower semi-continuous fuzzy sets.
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پژوهشگران
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اصغر رحیمی (نفر سوم)، نسیبه خسروی (نفر دوم)، بیاض دارابی (نفر اول)
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