上海理工大学学报
上海理工大學學報
상해리공대학학보
2014年
3期
281-286
,共6页
周晓辉%姚俭%吴天魁
週曉輝%姚儉%吳天魁
주효휘%요검%오천괴
多属性决策%梯形直觉模糊数%Hamming 距离%TOPSIS 方法
多屬性決策%梯形直覺模糊數%Hamming 距離%TOPSIS 方法
다속성결책%제형직각모호수%Hamming 거리%TOPSIS 방법
multi-attribute decision-making%trapezoidal intuitionistic fuzzy numbers%Hamming distance%TOPSIS method
针对属性值为梯形直觉模糊数的多准则决策问题，给出了一种基于梯形直觉模糊数的TOPSIS 多属性决策方法。根据提出的梯形直觉模糊数的 Hamming 距离公式，计算各方案和梯形直觉模糊数正负理想方案的距离，从而求得各方案和正理想解的相对贴近度，基于贴近度大小对方案集进行排序。最后，用数值实例进一步说明了该梯形直觉模糊 TOPSIS 方法的有效性和实用性。
針對屬性值為梯形直覺模糊數的多準則決策問題，給齣瞭一種基于梯形直覺模糊數的TOPSIS 多屬性決策方法。根據提齣的梯形直覺模糊數的 Hamming 距離公式，計算各方案和梯形直覺模糊數正負理想方案的距離，從而求得各方案和正理想解的相對貼近度，基于貼近度大小對方案集進行排序。最後，用數值實例進一步說明瞭該梯形直覺模糊 TOPSIS 方法的有效性和實用性。
침대속성치위제형직각모호수적다준칙결책문제，급출료일충기우제형직각모호수적TOPSIS 다속성결책방법。근거제출적제형직각모호수적 Hamming 거리공식，계산각방안화제형직각모호수정부이상방안적거리，종이구득각방안화정이상해적상대첩근도，기우첩근도대소대방안집진행배서。최후，용수치실례진일보설명료해제형직각모호 TOPSIS 방법적유효성화실용성。
For multi-attribute decision-making problems,in which the values of attributes are trapezoidal intuitionistic fuzzy numbers,a method of TOPSIS multi-attribute decision making based on trapezoidal intuitionistic fuzzy numbers was proposed.A Hamming distance formula for trapezoidal intuitionistic fuzzy numbers was defined.By this Hamming distance formula the distances between each program and the positive ideal-solution as well as the negative ideal-solution of the trapezoidal intuitionistic fuzzy numbers were calculated.The relative closeness to the ideal-solution of alternatives was acquired and the ranking of the alternatives set was conduted by comparing the relative closeness of alternatives.The result of a numerical example further illustrates the practicality and efficiency of the new extended TOPSIS method.
