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arXiv · 1802.09909

Optimal Solution of Nonlinear Fuzzy Optimization Problem under Linear Order Relation

Umme Salma M. Pirzada
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Abstract

Multi-variable nonlinear fuzzy optimization problem is considered under linear order relation on fuzzy numbers. Using gH-differentiability of a fuzzy-valued function $\tilde{f}$, 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. Illustrations and a case study are given to explain the numerical applications of the proposed results. Comparison of optimality conditions from existing literature is given.

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Umme Salma M. Pirzada. 2018-02-23. Optimal Solution of Nonlinear Fuzzy Optimization Problem under Linear Order Relation. https://arxiv.org/abs/1802.09909

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