模糊系统与数学
模糊繫統與數學
모호계통여수학
FUZZY SYSTEMS AND MATHEMATICS
2010年
1期
92-97
,共6页
模糊多属性决策%TOPSIS方法%区间值直觉模糊集%区间值直觉模糊距离
模糊多屬性決策%TOPSIS方法%區間值直覺模糊集%區間值直覺模糊距離
모호다속성결책%TOPSIS방법%구간치직각모호집%구간치직각모호거리
Fuzzy Multiple Attribute Decision Making%TOPSIS Method%Interval-valued Intuitionistic Fuzzy Sets%Interval-valued Intuitionistic Fuzzy Distance
基于区间值直觉模糊集,提出了一种新的TOPSIS模糊多属性决策方法.首先介绍区间直觉模糊集的概念,定义了两个区间值直觉模糊集之间的距离;然后根据TOPSIS方法的原理,定义了两个区间值直觉模糊集的接近系数,通过计算备选方案到区间值直觉模糊正理想解和负理想解的距离来确定接近系数,从而判断备选方案的优劣次序.最后,通过一个具体实例来说明这种方法的有效性和具体计算过程.
基于區間值直覺模糊集,提齣瞭一種新的TOPSIS模糊多屬性決策方法.首先介紹區間直覺模糊集的概唸,定義瞭兩箇區間值直覺模糊集之間的距離;然後根據TOPSIS方法的原理,定義瞭兩箇區間值直覺模糊集的接近繫數,通過計算備選方案到區間值直覺模糊正理想解和負理想解的距離來確定接近繫數,從而判斷備選方案的優劣次序.最後,通過一箇具體實例來說明這種方法的有效性和具體計算過程.
기우구간치직각모호집,제출료일충신적TOPSIS모호다속성결책방법.수선개소구간직각모호집적개념,정의료량개구간치직각모호집지간적거리;연후근거TOPSIS방법적원리,정의료량개구간치직각모호집적접근계수,통과계산비선방안도구간치직각모호정이상해화부이상해적거리래학정접근계수,종이판단비선방안적우렬차서.최후,통과일개구체실례래설명저충방법적유효성화구체계산과정.
Based on interval valued intuitionistic fuzzy sets, a new TOPSIS method for multiple attribute decision making is investigated. Firstly, the concept of interval-valued intuitionistic fuzzy sets is introduced. The distance between two interval valued intuitionistic fuzzy sets is defined. Then, according to the principle of the TOPSIS, a closeness coefficient is defined to determine the ranking order of all alternatives by calculating the distances to both the interval valued intuitionistic fuzzy positive-ideal solution and interval valued intuitionistic fuzzy negative-ideal solution. Finally, an example is shown to highlight the validity and procedure of the proposed method.
