经济数学
經濟數學
경제수학
MATHEMATICS IN ECONOMICS
2014年
3期
87-91
,共5页
梯形直觉模糊数%梯形直觉模糊数的排序%多属性决策
梯形直覺模糊數%梯形直覺模糊數的排序%多屬性決策
제형직각모호수%제형직각모호수적배서%다속성결책
trapezoidal intuitionistic fuzzy number%ranking of trapezoidal intuitionistic fuzzy numbers%multiattribute decision making
基于梯形直觉模糊数的值和模糊度两个特征，一类梯形直觉模糊数的排序方法被研究。首先，给出了梯形直觉模糊数的定义、运算法则和截集。其次，定义了梯形直觉模糊数关于隶属度和非隶属度的值和模糊度，以及值的指标和模糊度的指标。最后，给出了梯形直觉模糊数的排序方法，并将其应用到属性值为梯形直觉模糊数的多属性决策问题中。
基于梯形直覺模糊數的值和模糊度兩箇特徵，一類梯形直覺模糊數的排序方法被研究。首先，給齣瞭梯形直覺模糊數的定義、運算法則和截集。其次，定義瞭梯形直覺模糊數關于隸屬度和非隸屬度的值和模糊度，以及值的指標和模糊度的指標。最後，給齣瞭梯形直覺模糊數的排序方法，併將其應用到屬性值為梯形直覺模糊數的多屬性決策問題中。
기우제형직각모호수적치화모호도량개특정，일류제형직각모호수적배서방법피연구。수선，급출료제형직각모호수적정의、운산법칙화절집。기차，정의료제형직각모호수관우대속도화비대속도적치화모호도，이급치적지표화모호도적지표。최후，급출료제형직각모호수적배서방법，병장기응용도속성치위제형직각모호수적다속성결책문제중。
The ranking of trapezoidal intuitionistic fuzzy numbers (TIFNs)was solved by the value and ambiguity based ranking method developed in this paper.Firstly,the concept of TIFNs was introduced,and arithmetic operations and cut sets over TIFNs were investigated.Then,the values and ambiguities of the membership degree and the non-membership degree for TIFNs were defined as well as the value-index and ambiguity-index.Finally,a value and ambiguity based ranking method was developed and applied to solve multiattribute decision making problems in which the ratings of alternatives on attributes were expressed using TIFNs.A numerical example was examined to demonstrate the implementation process and applicability of the method proposed.
