系统工程理论与实践
繫統工程理論與實踐
계통공정이론여실천
Systems Engineering—Theory & Practice
2012年
12期
2704~2711
,共null页
直觉不确定语言数 集成算子 多属性群决策
直覺不確定語言數 集成算子 多屬性群決策
직각불학정어언수 집성산자 다속성군결책
intuitionistic uncertain linguistic numbers; aggregation operator; group decision making
直觉不确定语言数是直觉模糊数和不确定语言变量值的拓展．针对直觉不确定语言信息的集成问题，定义了直觉不确定语言数运算法则和大小比较方法，提出了直觉不确定语言的加权算术平均算子（IULWAA）、直觉不确定语言的有序加权平均算子（IULOWA）以及直觉不确定语言的混合加权平均算子（IULHA）及这些算子的性质．在此基础上，提出一种属性权重确知且属性值以直觉不确定语言数形式给出的多属性群决策方法．最后通过实例分析证明了该方法的有效性．
直覺不確定語言數是直覺模糊數和不確定語言變量值的拓展．針對直覺不確定語言信息的集成問題，定義瞭直覺不確定語言數運算法則和大小比較方法，提齣瞭直覺不確定語言的加權算術平均算子（IULWAA）、直覺不確定語言的有序加權平均算子（IULOWA）以及直覺不確定語言的混閤加權平均算子（IULHA）及這些算子的性質．在此基礎上，提齣一種屬性權重確知且屬性值以直覺不確定語言數形式給齣的多屬性群決策方法．最後通過實例分析證明瞭該方法的有效性．
직각불학정어언수시직각모호수화불학정어언변량치적탁전．침대직각불학정어언신식적집성문제，정의료직각불학정어언수운산법칙화대소비교방법，제출료직각불학정어언적가권산술평균산자（IULWAA）、직각불학정어언적유서가권평균산자（IULOWA）이급직각불학정어언적혼합가권평균산자（IULHA）급저사산자적성질．재차기출상，제출일충속성권중학지차속성치이직각불학정어언수형식급출적다속성군결책방법．최후통과실례분석증명료해방법적유효성．
An intuitionistic uncertain linguistic number is the generalization of an intuitionistic fuzzy number and an uncertain linguistic number. For the intuitionistic uncertain linguistic information aggregating problems, some operational laws and comparison criteria of the intuitionistic uncertain linguistic numbers are defined and proved. Based on these operational laws, some aggregation operators are proposed, including the intuitionistic uncertain linguistic weighted arithmetic averaging operator （IULWAA）, the intuitionistic uncertain linguistic ordered weighted averaging operator （IULOWA） and the intuitionistic uncertain linguistic hybrid averaging operator （IULHA）, and the properties of these operators are presented. Based on these operators, an approach for solving multiple attribute group decision making problems is proposed, in which the attribute weights are known and the attribute values take the form of the intuitionistic uncertain linguistic numbers. Finally, an illustrative example shows the effectiveness of the proposed approach.
