Convexity Invariance of Fuzzy Sets under the Extension Principles
Joint Authors
Source
Journal of Function Spaces and Applications
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-02
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We discuss the convexity invariance of fuzzy sets under the extension principles.
Particularly, we give a necessary and sufficient condition for a mapping to be an inverse *-convex transformation, and also obtain some sufficient conditions for a mapping to be an *-convex transformation.
Two applications are given to illustrate the obtained results.
Finally, we give some applications of the main results to the hyperstructure convexity invariance of type 2 fuzzy sets under hyperalgebra operations, and to the convexity invariance of fuzzy numbers under basic arithmetic operations.
American Psychological Association (APA)
Qiu, Dong& Zhang, Weiquan. 2012. Convexity Invariance of Fuzzy Sets under the Extension Principles. Journal of Function Spaces and Applications،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-503090
Modern Language Association (MLA)
Qiu, Dong& Zhang, Weiquan. Convexity Invariance of Fuzzy Sets under the Extension Principles. Journal of Function Spaces and Applications No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-503090
American Medical Association (AMA)
Qiu, Dong& Zhang, Weiquan. Convexity Invariance of Fuzzy Sets under the Extension Principles. Journal of Function Spaces and Applications. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-503090
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-503090