系统工程理论与实践
繫統工程理論與實踐
계통공정이론여실천
Systems Engineering—Theory & Practice
2013年
6期
1501~1508
,共null页
多准则决策 直觉正态模糊数 直觉正态模糊集结算子
多準則決策 直覺正態模糊數 直覺正態模糊集結算子
다준칙결책 직각정태모호수 직각정태모호집결산자
multi-criteria decision making; intuitionistic normal fuzzy numbers; intuitionistic normal fuzzy aggregation operators
定义了直觉正态模糊数及其运算法则、Euclidean距离、直觉正态模糊加权算术平均算子和直觉正态模糊加权几何平均算子.针对准则值为直觉正态模糊数而权重信息不完全的多准则决策问题,提出了一种基于直觉正态模糊集结算子的决策方法.该方法首先利用各方案之间的距离和最小化思想建立优化模型求得最优权重,然后利用集结算子对各准则进行集结,从而得到各方案的综合评价值,最后通过比较它们跟正负理想方案间的相对贴近度的大小,得到方案集的排序.实例表明该方法的有效性和可行性.
定義瞭直覺正態模糊數及其運算法則、Euclidean距離、直覺正態模糊加權算術平均算子和直覺正態模糊加權幾何平均算子.針對準則值為直覺正態模糊數而權重信息不完全的多準則決策問題,提齣瞭一種基于直覺正態模糊集結算子的決策方法.該方法首先利用各方案之間的距離和最小化思想建立優化模型求得最優權重,然後利用集結算子對各準則進行集結,從而得到各方案的綜閤評價值,最後通過比較它們跟正負理想方案間的相對貼近度的大小,得到方案集的排序.實例錶明該方法的有效性和可行性.
정의료직각정태모호수급기운산법칙、Euclidean거리、직각정태모호가권산술평균산자화직각정태모호가권궤하평균산자.침대준칙치위직각정태모호수이권중신식불완전적다준칙결책문제,제출료일충기우직각정태모호집결산자적결책방법.해방법수선이용각방안지간적거리화최소화사상건립우화모형구득최우권중,연후이용집결산자대각준칙진행집결,종이득도각방안적종합평개치,최후통과비교타문근정부이상방안간적상대첩근도적대소,득도방안집적배서.실례표명해방법적유효성화가행성.
Intuitionistic normal fuzzy numbers as well as their operational laws and Euclidean distance are defined, and some intuitionistic normal fuzzy aggregation operators including weighted arithmetic averaging operator and weighted geometric averaging operator are also defined. For multiple criteria decision making problems, in which the criteria values are intuitionistic normal fuzzy numbers and the criteria weight information is incomplete, an approach based on intuitionistic normal fuzzy aggregation operators is proposed. The optimal criteria weights are obtained by an optimal model based on the minimum of the sum of the distance between every two alternatives. And after aggregating criteria values by using intuitionistic normal fuzzy aggregation operators, the comprehensive evaluation values of all alternatives can be gotten. Then, the ranking of the whole alternatives set can be obtained by comparing the relative closeness of alternatives to the ideal and anti-ideal solutions. An example is given to show the feasibility and availability of the method.