基于GOWA算子的IITFN群决策方法  

Group Decision Making Method of IITFN Based on Generalized Ordered Weighted Averaging Operator

作　　者：徐丹青[1] 毛军军[1,2] 付亚男[1] 

机构地区：[1]安徽大学数学科学学院,合肥230601 [2]安徽大学计算智能与信号处理教育部重点实验室,合肥230039

出　　处：《合肥学院学报（自然科学版）》2013年第2期18-23,共6页Journal of Hefei University :Natural Sciences

基　　金：国家自然科学基金项目(61073117);安徽省高等学校省级自然科学研究重点项目(KJ2013A033);安徽大学学术创新团队项目(KJTD001B);安徽大学研究生学术创新项目资助

摘　　要：对区间直觉梯形模糊数(IITFN)决策方法进行了研究.通过定义区间直觉梯形模糊数的期望值和预期得分,进而给出区间直觉梯形模糊数的一种新的排序方法;同时,给出了广义有序加权平均算子及其性质.为了求广义有序加权平均(GOWA)算子的权重,提出了广义最小二乘法,进而建立了基于区间直觉梯形模糊数的属性权重完全未知的多属性群决策方法,并给出了相应的群决策方法.实例分析验证了所提出方法的有效性.A decision making method based on the Interval-valued intuitionistic trapezoidal fuzzy num- ber （IITFN） is studied. The expectation and expectant score of Interval-valued intuitionistic trape- zoidal fuzzy number are defined. Based on these, a new approach for raking Interval-valued intuition- istic trapezoidal fuzzy number is proposed. On the other hand, the generalized ordered weighted avera- ging （GOWA） operator and some properties are explored. To determine the GOWA operator weights, the generalized least squares method is developed. Based on these operators, the model of multi-attrib- utes group decision making with the weights complete unknown is constructed. Furthermore, we pro- pose a method of decision making. Finally, an illustrative example is given to show the effectiveness of the method.

关 键 词：区间直觉梯形模糊数 期望值 预期得分 广义有序加权平均算子 广义最小二乘法 多属性群决策 

分 类 号：O223[理学—运筹学与控制论]