武汉理工大学学报(信息与管理工程版)
武漢理工大學學報(信息與管理工程版)
무한리공대학학보(신식여관리공정판)
JOURNAL OF WUHAN AUTOMOTIVE POLYTECHNIC UNIVERSITY
2014年
2期
225-228
,共4页
吴婉莹%何迎东%郭甦%陈华友%周礼刚
吳婉瑩%何迎東%郭甦%陳華友%週禮剛
오완형%하영동%곽소%진화우%주례강
对偶犹豫模糊集%直觉模糊集%算术加权平均算子%几何加权平均算子
對偶猶豫模糊集%直覺模糊集%算術加權平均算子%幾何加權平均算子
대우유예모호집%직각모호집%산술가권평균산자%궤하가권평균산자
dual hesitant fuzzy set%intuitionistic fuzzy set%arithmetic weighted averaging operator%geometric weighted aver-aging operator
在对偶犹豫模糊集与直觉模糊集的基础上,提出了直觉对偶犹豫模糊集的概念和基本运算,构造了直觉对偶犹豫模糊集的算术加权平均集结算子和几何加权平均算子,并考虑有序和广义的情况,分别给出相对应的公式。同时针对某些算子的特殊性质,给出了详细描述和证明。针对模糊集的多属性群决策问题,提出了一种新的基于直觉对偶犹豫模糊集的集结算子的多属性群决策方法,通过一个实例说明了该方法的实用性和有效性。
在對偶猶豫模糊集與直覺模糊集的基礎上,提齣瞭直覺對偶猶豫模糊集的概唸和基本運算,構造瞭直覺對偶猶豫模糊集的算術加權平均集結算子和幾何加權平均算子,併攷慮有序和廣義的情況,分彆給齣相對應的公式。同時針對某些算子的特殊性質,給齣瞭詳細描述和證明。針對模糊集的多屬性群決策問題,提齣瞭一種新的基于直覺對偶猶豫模糊集的集結算子的多屬性群決策方法,通過一箇實例說明瞭該方法的實用性和有效性。
재대우유예모호집여직각모호집적기출상,제출료직각대우유예모호집적개념화기본운산,구조료직각대우유예모호집적산술가권평균집결산자화궤하가권평균산자,병고필유서화엄의적정황,분별급출상대응적공식。동시침대모사산자적특수성질,급출료상세묘술화증명。침대모호집적다속성군결책문제,제출료일충신적기우직각대우유예모호집적집결산자적다속성군결책방법,통과일개실례설명료해방법적실용성화유효성。
In the intuitionistic dual hesitant fuzzy set , the definition and the basic operation laws of the intuitionistic dual hesitant fuzzy set were proposed based on the definition of dual hesitant fuzzy set .The arithmetic weighted averaging operator and geometric weighted averaging operator of intuitionistic dual hesitant fuzzy set were constructed ; then the corresponding formula were presented while the order and general situation were taken into consideration .At the same time, for some special properties of the operators , the detailed description and proof were given .A new multi-attribute group decision making method was pro-posed for fuzzy set .The method was based on set operators of intuitionistic dual hesitant fuzzy set .The operators are practical and effective to solve multi-attribute group decision making problem .