Weak and Strong Duality Theorems for Fuzzy Conic Optimization Problems

he objective of this paper is to deal with the fuzzy conic programming problems. The aim here is to derive weak and strong duality theorems for a general fuzzy conic programming. Toward this end, The convexity-like concept of fuzzy mappings is introduced and then a specific ordering cone is established based on the parameterized representation of fuzzy numbers. Under this setting, duality theorems are extended from crisp conic optimization problems to fuzzy ones