| Conjugate Mapping of Convex Fuzzy Mapping |
| Received:March 07, 2005 Revised:August 15, 2005 |
| Key Words:
fuzzy numbers anti-fuzzy number convex fuzzy mappings conjugate mapping.
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| Fund Project:the Science and Technology Foundation of Liaoning Province (20052146); the Doctoral Foundations of Dalian University. |
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| Abstract: |
| In this paper, the notion of anti-fuzzy number is introduced in the topological vector space constructed by Goetschel and Voxman, anti-fuzzy number space is established, and some basic properties are discussed. Based on the above discussion, the definition of conjugate mapping of convex fuzzy mapping, and the convexities of conjugate set and conjugate mapping of convex fuzzy mapping are investigated. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2007.04.029 |
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