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具有Fuzzy约束的多目标规划的σ-有效解和α-弱有效解
α-EFFICIENT SOLUTIONS AND α-WEAK EFFICIENT SOLUTIONS IN MULTIOBJECTIVE PROGRAMMING WITH FUZZY CONSTRAINTS
【摘要】 本文研究具有Fuzzy约束的多目标规划(FVP).首先,利用对称三角Fuzzy数刻画(FVP)的Fuzzy约束集,引进解的定义,然后讨论(FVP)的α-(弱)有效解的几何特征、存在性与最优性条件。
【Abstract】 This paper investigates the multiobjective programming with fuzzy constraints(FVP)First, using symmetrical triangular fuzzy numbers,we portray the fuzzy constraint sets and intro-duce the concept of solution;then,discuss the geometrical characteristics,the existence and the op-timization conditions of α-(weak)efficient solutions of(FVP).
【关键词】 对称三角Ftizzy数;
α-弱有效解;
α-有效解;
弱严格分离度;
Fuzzy严格极锥;
【Key words】 symmetrical triangular fuzzy number; α-efficient solution; α-weak efticientsolution; weak strictly separation degree; fuzzy strictly palar cone;
【Key words】 symmetrical triangular fuzzy number; α-efficient solution; α-weak efticientsolution; weak strictly separation degree; fuzzy strictly palar cone;
【基金】 国家自然科学基金和江西省自然科学基金
- 【文献出处】 南昌大学学报(理科版) ,JOURNAL OF NANCHANG UNIVERSITY(NATURAL SCIENCE) , 编辑部邮箱 ,1995年03期
- 【分类号】O221
- 【被引频次】7
- 【下载频次】18