基于距离测度的三角模糊交互多属性决策方法  

Based on Distance Measure Triangular Fuzzy Interactive Multi-attribute Decision Making Method

作　　者：李霞 张绍林 逄格炜 LI Xia;ZHANG Shaolin;PANG Gewei(Archives,Qingdao Agricultural University,Qingdao 266109 China;.School of Business,Central South University,Changsha 410083 China;.School of Animation and Media,Qingdao Agricultural University,Qingdao 266109 China)

机构地区：[1]青岛农业大学档案馆,山东青岛266109 [2]中南大学商学院,湖南长沙410083 [3]青岛农业大学动漫与传媒学院,山东青岛266109

出　　处：《西华大学学报（自然科学版）》2022年第1期84-89,110,共7页Journal of Xihua University:Natural Science Edition

基　　金：青岛市社会科学规划研究项目(QDSKL2001194)。

摘　　要：针对属性间存在交互作用的三角模糊多属性决策问题,基于可信性分布理论给出了关于三角模糊数新的排序方法。通过将区间数的Wasserstein距离测度进行推广,得到三角模糊数的距离测度;考虑到属性间存在的交互作用,定义了一种2可加Shapley三角模糊Choquet积分集结算子(2ASTFCA);针对属性权重部分已知的情形,以方案之间离差最大化为目标构建规划模型得到属性权重。最后,通过青岛市休闲农业综合信息服务平台开发方选择实例,说明所提方法的有效性。For triangular fuzzy multi-attribute decision making problems for interactions among attributes,a novel ranking method of triangular fuzzy numbers is firstly presented based on credibility distribution theory.Then,by generalizing the Wasserstein distance of intervals,the distance measure of triangular fuzzy numbers is obtained.Considered the interactions that exist among the attributes,a 2-additive Shapley triangular fuzzy Choquet aggregating(2ASTFCA)operator is defined.In addition,for the condition that the attribute weight information is incompletely known,a programming model is constructed to obtain the attribute weights aiming at maximizing the deviation among the alternatives.Finally,the effectiveness of the proposed method is illustrated by an example of choosing the developer of Qingdao leisure agriculture comprehensive information service platform.

关 键 词：三角模糊数 多属性决策 距离测度 交互作用 排序 

分 类 号：O159[理学—数学] O225[理学—基础数学]