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A New Approach to the Fuzzification of Convex Structures
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نویسنده
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shi f.-g. ,xiu z.-y.
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منبع
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journal of applied mathematics - 2014 - دوره : 2014 - شماره : 0
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چکیده
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A new approach to the fuzzification of convex structures is introduced. it is also called an m-fuzzifying convex structure. in the definition of m-fuzzifying convex structure,each subset can be regarded as a convex set to some degree. an m-fuzzifying convex structure can be characterized by means of its m-fuzzifying closure operator. an m-fuzzifying convex structure and its m-fuzzifying closure operator are one-to-one corresponding. the concepts of m-fuzzifying convexity preserving functions,substructures,disjoint sums,bases,subbases,joins,product,and quotient structures are presented and their fundamental properties are obtained in m-fuzzifying convex structure. © 2014 fu-gui shi and zhen-yu xiu.
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آدرس
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school of mathematics and statistics,beijing institute of technology, China, school of mathematics and statistics,beijing institute of technology, China
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Authors
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