辽宁工程技术大学学报（自然科学版）Issue(2)：89-92,4.
基于结构元理论的模糊非线性规划求解方法
Method of solving fuzzy nonlinear programming based on structured element theory
摘要
Abstract
In terms of the problem of the objective function and the constraint functions with multiple fuzzy number parameters in nonlinear programming, this study solves the problem using the structured element theory. The multi-parameter function is transformed into a single-parameter function, and then the nonlinear programming problem with multiple fuzzy number parameters is simplified into a nonlinear programming problem with a single fuzzy number parameters (a structured element). With the natural order constructed using structured element method, the nonlinear programming problem with multiple fuzzy number parameters is transformed into a classical nonlinear programming problem, and they have same solution. The case study demonstrates the effectiveness and validity of the approach developed.关键词
结构元/模糊非线性规划/序/模糊数/轮换对称函数/模糊值函数/扩张原理/同序单调Key words
structured element/fuzzy nonlinear programming/order/fuzzy number/circulant symmetric function/membership function/fuzzy-value function/expansion principle/same monotone分类
数理科学引用本文复制引用
岳立柱,郭永升,左瑞,马卫民..基于结构元理论的模糊非线性规划求解方法[J].辽宁工程技术大学学报（自然科学版）,2013,(2):89-92,4.基金项目
国家自然科学基金资助项目(71071113) （71071113）
