合肥学院学报:自然科学版
閤肥學院學報:自然科學版
합비학원학보:자연과학판
Journal of Hefei University :Natural Sciences
2012年
3期
29-34
,共6页
模糊软矩阵%群决策%算子%可能度
模糊軟矩陣%群決策%算子%可能度
모호연구진%군결책%산자%가능도
fuzzy soft matrix%group decision-making%operator%possibility degree
对模糊软矩阵信息的多专家群决策问题进行了研究.在模糊软集的基础上定义了模糊软矩阵,并定义模糊软矩阵问的相关运算法则,基于这些运算给出了加权算术平均算子和加权几何平均算子.针对在给定模糊软矩阵信息下如何对论域元素进行排序的问题定义了可能度,从而得到可能度矩阵并结合排序向量法给出了一种排序方法.最后,利用集成算子和可能度矩阵等工具给出了一种基于模糊软矩阵信息的多专家群决策途径,并利用实例验证该决策方法的可行性和有效性.
對模糊軟矩陣信息的多專傢群決策問題進行瞭研究.在模糊軟集的基礎上定義瞭模糊軟矩陣,併定義模糊軟矩陣問的相關運算法則,基于這些運算給齣瞭加權算術平均算子和加權幾何平均算子.針對在給定模糊軟矩陣信息下如何對論域元素進行排序的問題定義瞭可能度,從而得到可能度矩陣併結閤排序嚮量法給齣瞭一種排序方法.最後,利用集成算子和可能度矩陣等工具給齣瞭一種基于模糊軟矩陣信息的多專傢群決策途徑,併利用實例驗證該決策方法的可行性和有效性.
대모호연구진신식적다전가군결책문제진행료연구.재모호연집적기출상정의료모호연구진,병정의모호연구진문적상관운산법칙,기우저사운산급출료가권산술평균산자화가권궤하평균산자.침대재급정모호연구진신식하여하대론역원소진행배서적문제정의료가능도,종이득도가능도구진병결합배서향량법급출료일충배서방법.최후,이용집성산자화가능도구진등공구급출료일충기우모호연구진신식적다전가군결책도경,병이용실례험증해결책방법적가행성화유효성.
The multi-experts group decision-making problem of fuzzy soft matrix information has been studied. Based on the definition of fuzzy soft sets, a concept of fuzzy soft matrix has been presented and relative operations between fuzzy soft matrices are also defined, and the weighted arithmetic average operator and the weighted geometric average operator are given based on these operations. For the question that how to rank the element of the universe according to the given fuzzy soft matrix information, the possibility degree is defined, respectively. Then the possibility degree matrix has been obtained, and a rank method has been presented by the ranking vector. Finally, a multi-experts group decision-making approach based on fuzzy soft matrix information has been proposed by use of tools such as aggregating operators and the possibility degree matrix and so on, and a practical example has been analyzed to verify feasibility and effectiveness of the proposed method.