湖南工业大学学报
湖南工業大學學報
호남공업대학학보
JOURNAL OF HUNAN UNIVERSITY OF TECHNOLOGY
2012年
3期
1-8,51
,共9页
群决策%区间直觉梯形模糊数%IVITFNWAA算子%IVITFNOWA算子%IVITFNHA算子
群決策%區間直覺梯形模糊數%IVITFNWAA算子%IVITFNOWA算子%IVITFNHA算子
군결책%구간직각제형모호수%IVITFNWAA산자%IVITFNOWA산자%IVITFNHA산자
group decision making%interval-valued intuitionistic trapezoidal fuzzy number%IVITFNWAA operator%IVITFNOWA operator%IVITFNHA operator
针对准则值为区间直觉梯形模糊数（IVITFN）的群决策问题,定义了新的区间直觉梯形模糊数的加性的运算法则;基于这些运算法则,给出了几种区间直觉梯形模糊数信息的算术集成算子,包括区间直觉梯形模糊数的加权算术平均（IVITFNWAA）算子、区间直觉梯形模糊数的有序加权平均（IVITFNOWA）算子和区间直觉梯形模糊数的混合集成（IVITFNHA）算子;基于IVITFNWAA算子和IVITFNHA算子,提出了一种准则值为区间直觉梯形模糊数而准则权重确知的群决策方法。最后,实例分析表明了该方法的可行性和有效性。
針對準則值為區間直覺梯形模糊數（IVITFN）的群決策問題,定義瞭新的區間直覺梯形模糊數的加性的運算法則;基于這些運算法則,給齣瞭幾種區間直覺梯形模糊數信息的算術集成算子,包括區間直覺梯形模糊數的加權算術平均（IVITFNWAA）算子、區間直覺梯形模糊數的有序加權平均（IVITFNOWA）算子和區間直覺梯形模糊數的混閤集成（IVITFNHA）算子;基于IVITFNWAA算子和IVITFNHA算子,提齣瞭一種準則值為區間直覺梯形模糊數而準則權重確知的群決策方法。最後,實例分析錶明瞭該方法的可行性和有效性。
침대준칙치위구간직각제형모호수（IVITFN）적군결책문제,정의료신적구간직각제형모호수적가성적운산법칙;기우저사운산법칙,급출료궤충구간직각제형모호수신식적산술집성산자,포괄구간직각제형모호수적가권산술평균（IVITFNWAA）산자、구간직각제형모호수적유서가권평균（IVITFNOWA）산자화구간직각제형모호수적혼합집성（IVITFNHA）산자;기우IVITFNWAA산자화IVITFNHA산자,제출료일충준칙치위구간직각제형모호수이준칙권중학지적군결책방법。최후,실례분석표명료해방법적가행성화유효성。
For group decision making problems in which the criteria values are interval-valued intuitionistic trapezoidal fuzzy numbers,some new additive operational laws of the interval-valued intuitionistic trapezoidal fuzzy number are defined,and based on these operational laws,some interval-valued intuitionistic trapezoidal fuzzy number arithmetic aggregation operators are proposed,such as the interval-valued intuitionistic trapezoidal fuzzy number weighted arithmetic averaging(IVITFNWAA) operator,the interval-valued intuitionistic trapezoidal fuzzy number ordered weighted averaging(IVITFNOWA) operator and the interval-valued intuitionistic trapezoidal fuzzy number hybrid aggregation(IVITFNHA) operator.Furthermore,on the basis of the IVITFNWAA operator and the IVITFNHA operator,an approach is developed for solving group decision making problems,in which the criteria values are interval-valued intuitionistic trapezoidal fuzzy numbers and the criteria weight information is known completely.Finally,an example is given to illustrate the feasibility and effectiveness of this method.
