区间直觉模糊多属性群决策自收敛算法  

Automatic convergent approach in interval-valued intuitionistic fuzzy multi-attribute group decision making

作　　者：戚筱雯[1] 梁昌勇[1] 曹清玮[2] 丁勇[1] 

机构地区：[1]合肥工业大学管理学院,安徽合肥230009 [2]浙江师范大学工商管理学院,浙江金华321004

出　　处：《系统工程与电子技术》2011年第1期110-115,共6页Systems Engineering and Electronics

基　　金：国家自然科学基金重点项目(70631003);国家自然科学基金(70671037);教育部人文社会科学研究项目(09YJC630055)资助课题

摘　　要：对区间直觉模糊多属性群决策中的一致性问题进行研究,引入了一种可自收敛算法得到一致性群决策矩阵。首先基于区间直觉模糊数的运算法则和集结算子,将单个决策者的决策矩阵集结为群体决策矩阵;然后通过可自收敛算法反复迭代,直到得到满足一致性的群体决策矩阵;最后再次基于区间直觉模糊数的集结算子和排序规则实现方案选优。从理论上论证了该算法的收敛性和保序性,并通过算例验证了算法的可行性和有效性。The aim of this paper is to research the consistency problem in interval-valued intuitionistic fuzzy multi-attribute group decision making and introduce an automatic approach to reaching consistency among group opinions.First,these individual decision matrices are aggregated into a group decision matrix by using the operation rule and aggregation of the interval-valued fuzzy number.And then,a convergent interactive algorithm is performed to gain a consentaneous group decision matrix.The aggregation operator and ranking rules are used to choose the desirable alternative.Finally,the convergence and order preservation are demonstrated,and the feasibility and effectiveness are verified by a practical example.

关 键 词：多属性群决策 区间直觉模糊数 自收敛算法 一致性 

分 类 号：C934[经济管理—管理学]