CAJ | 학술논문

针对多方参与决策且指标集有差异的群体决策问题,提出一种基于模糊软集理论的方案排序方法.依据各方决策者所考虑的指标参数和打分值信息给出多方决策信息的模糊软集表示方法,并利用模糊软集的且运算得到综合各方决策者所考虑指标参数的新模糊软集及其隶属度矩阵;然后在考虑指标权重的前提下构建关于方案的加权比较矩阵,进而通过计算得出的各方案优势度确定方案的排序结果;最后,通过一个算例表明了所提出方法的可行性和有效性.
침대다방삼여결책차지표집유차이적군체결책문제,제출일충기우모호연집이론적방안배서방법.의거각방결책자소고필적지표삼수화타분치신식급출다방결책신식적모호연집표시방법,병이용모호연집적차운산득도종합각방결책자소고필지표삼수적신모호연집급기대속도구진;연후재고필지표권중적전제하구건관우방안적가권비교구진,진이통과계산득출적각방안우세도학정방안적배서결과;최후,통과일개산례표명료소제출방법적가행성화유효성.
@@@@A method for ranking alternatives based on the fuzzy soft set theory is proposed to solve multi-person decision-making problems with difference of index sets. According to the parameters considered by decision makers and scores given by decision makers, the fuzzy soft sets of multi-person decision information are constructed. Then new fuzzy soft sets integrating with index parameters considered by decision makers can be obtained by “AND” operation, meanwhile new membership matrix can be constructed. Furthermore, the weighted comparison matrix between alternatives is established by considering index weight. By this way, the dominance degree of alternatives can be calculated, and all the alternatives are ranked according to the total dominance degree. Finally, a numerical example is given to illustrate the feasibility and effectiveness of the proposed method.