On fuzzy convexity and parametric fuzzy optimization
Fuzzy Sets and Systems
Fuzzy multiple objective programming and compromise programming with Pareto optimum
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Some properties of convex fuzzy sets
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Fuzzy logic: intelligence, control, and information
Fuzzy logic: intelligence, control, and information
Fuzzy Sets and Systems
Pareto-optimality of compromise decisions
Fuzzy Sets and Systems
A property on convex fuzzy sets
Fuzzy Sets and Systems
Convexity and upper semicontinuity of fuzzy sets
Computers & Mathematics with Applications
Φ1-concavity and fuzzy multiple objective decision making
Computers & Mathematics with Applications
A multi-dimensional fuzzy making decision approach for complex system
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
Hi-index | 0.20 |
Since almost all practical problems are fuzzy and approximate, fuzzy decision making becomes one of the most important practical approaches. However, the resulting problems are frequently complicated and difficult to solve. One effective way to overcome these difficulties is to explore the concavity or generalized concavity properties of the resulting problems. In this paper, we introduce and study the concept of supp-preincave and supp-prequasiincave fuzzy sets. We give characterizations for a supp-preincave fuzzy set in terms of its fuzzy hypograph, and a supp-prequasiincave fuzzy set in terms of its level sets. Furthermore, we also prove that any local maximizer of a supp-preincave fuzzy set is also a global maximizer, and that any strictly local maximizer of a supp-prequasiincave fuzzy set is also a global maximizer. Finally, some aggregation rules for supp-preincave and supp-prequasiincave fuzzy sets are given and some applications to fuzzy decision making are discussed.