Open Access
2014 A New Approach to the Fuzzification of Convex Structures
Fu-Gui Shi, Zhen-Yu Xiu
J. Appl. Math. 2014: 1-12 (2014). DOI: 10.1155/2014/249183


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.


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Fu-Gui Shi. Zhen-Yu Xiu. "A New Approach to the Fuzzification of Convex Structures." J. Appl. Math. 2014 1 - 12, 2014.


Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131446
MathSciNet: MR3259199
Digital Object Identifier: 10.1155/2014/249183

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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