一种新的模糊多目标群决策方法  

A new fuzzy multi-target group decision making

作　　者：吴冲[1] 李汉铃[1] 朱洪文[1] 

机构地区：[1]哈尔滨工业大学管理学院,黑龙江哈尔滨150001

出　　处：《哈尔滨工业大学学报》2002年第6期801-802,805,共3页Journal of Harbin Institute of Technology

基　　金：国家自然科学基金资助项目(79770021);哈尔滨工业大学校基金资助项目(HIT.200045).

摘　　要：考虑到客观事物的复杂性和人们对事物认识的模糊性,为了使多层次多目标群决策方法更客观、更确切地反映所研究的问题,详细研究了三角模糊数的运算性质.引入了二个三角模糊M1≥M2的可能性程度的定义,并给出了其简明的表示形式,使层次单排序的值由三角形模糊数转化为普通实数.根据总目标的要求,由参加评价的决策者对各项指标两两比较;比较的结果用三角模糊数表示,得到评价准则的模糊判断矩阵,进行层次单排序然后合成总排序。As the objective things are complex and peoples knowledge of these things is fuzzy, in order to reflect the subject under study more objectively and more accurately by the multi-level and multi-target decision-making method, and study its extension in fuzzy environments, the operational properties of triangular fuzzy numbers are studied in detail, the definition of possible degree of two triangular fuzzy number M1≥M2 is introduced , and its precise expression is given as well, so that the value of hierarchic single sequence is changed from triangular fuzzy number to ordinary real numbers, according to the general target requirements, the decision makers compare every pair of parameters, express the results of comparison with triangular fuzzy numbers, establish the fuzzy judgement matrix for evaluation criteria and make hierarchic single sequence and then general sequence.

关 键 词：多目标群决策 三角模糊数 排序 运算 性质 模糊判断矩阵 模糊决策 

分 类 号：O159[理学—数学] C934[理学—基础数学]