运筹与管理
運籌與管理
운주여관리
Operations Research and Management Science
2015年
4期
23-29
,共7页
区间粗糙直觉模糊数%多属性决策%集成算子变权向量
區間粗糙直覺模糊數%多屬性決策%集成算子變權嚮量
구간조조직각모호수%다속성결책%집성산자변권향량
interval-valued rough intuitionistic fuzzy number%multi-attribute decision making%aggregation operator%variable-weight vector
研究了区间粗糙直觉模糊多属性决策。探讨了区间粗糙直觉模糊数的运算法则及其性质;定义了区间粗糙直觉模糊数的得分函数和精确函数,进而给出其排序方法;给出了区间粗糙直觉模糊数的变权算术平均和变权几何平均算子,并且建立了区间粗糙直觉模糊数的多属性决策模型;实例验证了所提出决策方法的有效性。
研究瞭區間粗糙直覺模糊多屬性決策。探討瞭區間粗糙直覺模糊數的運算法則及其性質;定義瞭區間粗糙直覺模糊數的得分函數和精確函數,進而給齣其排序方法;給齣瞭區間粗糙直覺模糊數的變權算術平均和變權幾何平均算子,併且建立瞭區間粗糙直覺模糊數的多屬性決策模型;實例驗證瞭所提齣決策方法的有效性。
연구료구간조조직각모호다속성결책。탐토료구간조조직각모호수적운산법칙급기성질;정의료구간조조직각모호수적득분함수화정학함수,진이급출기배서방법;급출료구간조조직각모호수적변권산술평균화변권궤하평균산자,병차건립료구간조조직각모호수적다속성결책모형;실례험증료소제출결책방법적유효성。
Interval-valued rough intuitionistic fuzzy number is investigated.Some operational laws of interval-val-ued rough intuitionistic fuzzy numbers are defined and some related properties are researched, and the weighted arithmetic average operator and weighted geometric average operator for the interval-valued rough intuitionistic fuzzy numbers are given.The score function and accurate function of rough intuitionistic fuzzy numbers are de-fined, and then an approach for ranking interval-valued rough intuitionistic fuzzy numbers is presented.The model of multi-attribute decision making is constructed based on interval-valued rough intuitionistic fuzzy num-bers.The corresponding method of decision making is proposed.The example analysis shows the effectiveness of the method.