A New Approach to the Fuzzification of Convex Structures
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-31
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Shi, Fu-Gui& Xiu, Zhen-Yu. 2014. A New Approach to the Fuzzification of Convex Structures. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1039638
Modern Language Association (MLA)
Shi, Fu-Gui& Xiu, Zhen-Yu. A New Approach to the Fuzzification of Convex Structures. Journal of Applied Mathematics No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-1039638
American Medical Association (AMA)
Shi, Fu-Gui& Xiu, Zhen-Yu. A New Approach to the Fuzzification of Convex Structures. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1039638
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1039638
