Abstract
The concepts of epigraph and convexity of the fuzzy mappings were discussed in the context of convex fuzzy optimizations. The concepts of epigraph and convexity were based on the concept of ordering defined by Goetschel and Voxman. The characteristics of the convex fuzzy mappings and quasi-convex fuzzy mappings were also described.
Original language | English |
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Pages (from-to) | 47-56 |
Number of pages | 10 |
Journal | Fuzzy Sets and Systems |
Volume | 129 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Jul 2002 |
Keywords
- Convex fuzzy mapping
- Epigraph
- Level set of the fuzzy mapping
ASJC Scopus subject areas
- Logic
- Artificial Intelligence