A New Approach to the Fuzzification of Convex Structures

Fu-Gui Shi and Zhen-Yu Xiu

Journal of Applied Mathematics, 2014, vol. 2014, 1-12

Abstract:

A new approach to the fuzzification of convex structures is introduced. It is also called an -fuzzifying convex structure. In the definition of -fuzzifying convex structure, each subset can be regarded as a convex set to some degree. An -fuzzifying convex structure can be characterized by means of its -fuzzifying closure operator. An -fuzzifying convex structure and its -fuzzifying closure operator are one-to-one corresponding. The concepts of -fuzzifying convexity preserving functions, substructures, disjoint sums, bases, subbases, joins, product, and quotient structures are presented and their fundamental properties are obtained in -fuzzifying convex structure.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:249183

DOI: 10.1155/2014/249183

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