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B-vex Fuzzy Mappings and Its Application to Fuzzy Optimization Problems
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作者 刘德峰 《Chinese Quarterly Journal of Mathematics》 CSCD 1996年第4期84-92, ,共9页
The concept of b-vex and logarithmic b-vex for fuzzy mappings are introduced by relaxing the definition of convexity of a fuzzy mapping. Most of the basic properties of b-vex fuzzy mapping are discussed and establish... The concept of b-vex and logarithmic b-vex for fuzzy mappings are introduced by relaxing the definition of convexity of a fuzzy mapping. Most of the basic properties of b-vex fuzzy mapping are discussed and established for the nondifferentiable case. Necessary and sufficient conditions for b-vex fuzzy mapping are presented. Sevaral important results are given for nonlinear fuzzy optimization problems assuming that the objective and constraint functions are b-vex fuzzy mappings. 展开更多
关键词 fuzzy set fuzzy numbers fuzzy distanced convex fuzzy sets b-vex fuzzy mapping logarithmic b-vex fuzzy mapping
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