B-vex  Fuzzy  Mappings  and  Its  Application  to  Fuzzy Optimization    Problems

Chinese Quarterly Journal of Mathematics ›› 1996, Vol. 11 ›› Issue (4): 84-92.

B-vex Fuzzy Mappings and Its Application to Fuzzy Optimization Problems

Institute of Quantitative Econonics,Dongbei University of Finance &.Economy,Dalian,116025

Received:1996-02-02 Online:1996-12-30 Published:2024-12-23

Abstract

Abstract: The concept of b-vex and logarithmic b-vex for fuzzy mappings are introduced by relax- ing the definition of convexity of a fuzzy mapping.Most of the basic properties of b-vex fuzzy map- ping are discussed and established for the nondifferentiable case.Necessary and sufficient condi- tions 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 map- pings.

Key words: fuzzy set;fuzzy numbers;fuzzy distance;convex fuzzy sets;b-vex fuzzy mapping, logarithmic b-vex fuzzy mapping

CLC Number:

o159

Liu Defeng. B-vex Fuzzy Mappings and Its Application to Fuzzy Optimization Problems[J]. Chinese Quarterly Journal of Mathematics, 1996, 11(4): 84-92.

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B-vex Fuzzy Mappings and Its Application to Fuzzy Optimization Problems

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