convexity invariance of fuzzy sets under the extension principles
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ID: 188923
2012
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Abstract
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.
| Reference Key |
qiu2012journalconvexity
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|---|---|
| Authors | ;Dong Qiu;Weiquan Zhang |
| Journal | Journal of sex research |
| Year | 2012 |
| DOI |
10.1155/2012/849104
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| URL | |
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