Optimal solution of nonlinear fuzzy optimization problem under linear order relation

dc.contributor.author	Pirzada, U. M.
dc.date.accessioned	2019-04-25T06:09:37Z
dc.date.available	2019-04-25T06:09:37Z
dc.date.issued	2018-12
dc.identifier.issn	0976-3228
dc.identifier.other	E-ISSN (2455-9601)
dc.identifier.uri	http://27.109.7.66:8080/xmlui/handle/123456789/530
dc.description	Mathematics Today, Vol.34 (December 2018), pp. 144-158	en_US
dc.description.abstract	Multi-variable nonlinear fuzzy optimization problem is considered under linear order relation on fuzzy numbers. Using gH-differentiability of a fuzzy-valued function ˜ 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.	en_US
dc.language.iso	en_US	en_US
dc.publisher	Mathematics Today	en_US
dc.subject	Fuzzy optimization problem	en_US
dc.subject	Linear order relation and Optimal solution	en_US
dc.title	Optimal solution of nonlinear fuzzy optimization problem under linear order relation	en_US
dc.type	Article	en_US