CAJ | 학술논문

针对属性权重和属性值信息均不完全,且含有非线性形式的多属性决策问题,提出一种基于优势关系实现方案择优与排序的决策方法.首先定义方案优势、弱优势和潜在优关系,构建等价的非线性规划模型,确定优势和潜在优方案;然后揭示、论证了非劣集与潜在优集的关系,提出了方案优势度指标,并据此给出了方案择优与排序的实现步骤;最后,提出采用变量替换法求解非线性决策模型.实例计算结果表明,所提出的方法是可行且有效的.
침대속성권중화속성치신식균불완전,차함유비선성형식적다속성결책문제,제출일충기우우세관계실현방안택우여배서적결책방법.수선정의방안우세、약우세화잠재우관계,구건등개적비선성규화모형,학정우세화잠재우방안;연후게시、론증료비렬집여잠재우집적관계,제출료방안우세도지표,병거차급출료방안택우여배서적실현보취;최후,제출채용변량체환법구해비선성결책모형.실례계산결과표명,소제출적방법시가행차유효적.
A dominance-based decision making approach is proposed for multi-attribute decision problems with imprecise information both on the attribute weights and the alternatives’ values. Firstly, the definitions of dominance, weak dominance and potential optimality are given and some nonlinear programming models are built to determine which alternative is nondominated or potential optimality. Then the relationship between the set of potential optimality alternatives and the set of nondominated alternatives is discussed, and the index of dominance measuring is presented. The procedures to ranking and screening the alternatives are given. Finally, the algorithm of variable replacement is used to solve the nonlinear decision model with different kinds of imprecise information. The calculation of the case study and comparison of the results show that the proposed method is feasible and effective.