计算机科学与探索
計算機科學與探索
계산궤과학여탐색
JOURNAL OF FRONTIERS OF COMPUTER SCIENCE & TECHNOLOGY
2014年
10期
1263-1270
,共8页
三角直觉模糊数%决策%排序
三角直覺模糊數%決策%排序
삼각직각모호수%결책%배서
triangular intuitionistic fuzzy number%decision making%ranking
研究了属性值为三角直觉模糊数的多属性决策问题,提出了一种基于权重函数的决策方法。给出了三角直觉模糊数的定义、运算法则和截集;定义了三角直觉模糊数关于隶属函数和非隶属函数的精确值和模糊度,以及精确值的指标和模糊度的指标,给出了三角直觉模糊数的排序方法,并将其应用到属性值为三角直觉模糊数的多属性决策问题中;给出了属性值为三角直觉模糊数的多属性决策的步骤;通过数值算例分析和验证了该方法的有效性。
研究瞭屬性值為三角直覺模糊數的多屬性決策問題,提齣瞭一種基于權重函數的決策方法。給齣瞭三角直覺模糊數的定義、運算法則和截集;定義瞭三角直覺模糊數關于隸屬函數和非隸屬函數的精確值和模糊度,以及精確值的指標和模糊度的指標,給齣瞭三角直覺模糊數的排序方法,併將其應用到屬性值為三角直覺模糊數的多屬性決策問題中;給齣瞭屬性值為三角直覺模糊數的多屬性決策的步驟;通過數值算例分析和驗證瞭該方法的有效性。
연구료속성치위삼각직각모호수적다속성결책문제,제출료일충기우권중함수적결책방법。급출료삼각직각모호수적정의、운산법칙화절집;정의료삼각직각모호수관우대속함수화비대속함수적정학치화모호도,이급정학치적지표화모호도적지표,급출료삼각직각모호수적배서방법,병장기응용도속성치위삼각직각모호수적다속성결책문제중;급출료속성치위삼각직각모호수적다속성결책적보취;통과수치산례분석화험증료해방법적유효성。
This paper studies the multi-attribute group decision making problems where the attribute values are triangular intuitionistic fuzzy numbers (TIFNs), and proposes a new decision making method on the basis of weight function. Firstly, this paper introduces the concept, arithmetic operations and cut sets of TIFNs. Secondly, this paper defines the crisp value and ambiguities of the membership function and the non-membership function for TIFNs as well as the crisp value-index and ambiguity-index, then develops a crisp value and ambiguity based ranking method and uses the method to solve multi-attribute decision making problems. Thirdly, this paper gives the steps of triangular intuitionistic multiple attribute decision making. Finally, an illustrative example shows the effectiveness of the proposed method.