Optimal Solution of Nonlinear Fuzzy Optimization Problem under Linear Order Relation [article]

Umme Salma M. Pirzada
2018 arXiv   pre-print
Multi-variable nonlinear fuzzy optimization problem is considered under linear order relation on fuzzy numbers. Using gH-differentiability of a fuzzy-valued function f̃, new necessary and sufficient optimality conditions are proposed. The optimality conditions are obtained without putting additional conditions on fuzzy-valued functions like, convexity, quasi-convexity, pseudo-convexity. Optimum solution of the fuzzy optimization problem is obtained based on the optimality conditions.
more » ... ns and a case study are given to explain the numerical applications of the proposed results. Comparison of optimality conditions from existing literature is given.
arXiv:1802.09909v1 fatcat:lmqwf5xfjbbstm5ztwpgemr4zu