RANKING FUZZY NUMBERS WITH INTEGRAL VALUE
RANKING FUZZY NUMBERS WITH INTEGRAL VALUE
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DOI：
10.1016/0165-0114(92)90223-q
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发表时间：
1992-09-25
影响因子：
3.9
通讯作者：
WANG, MJJ
中科院分区：
文献类型：
--
作者：
LIOU, TS;WANG, MJJ
模糊数的排序在决策中很重要。由于方案往往是在模糊环境中用模糊数来评价的，所以这些模糊数之间的比较实际上就是方案之间的比较。提出了一种整数值模糊数的排序方法。该方法与所用隶属函数的类型和函数的正态无关，可以同时对两个以上的模糊数进行排序。该方法计算相对简单，特别是在对三角形和梯形模糊数进行排序时。此外，乐观指数被用来反映决策者的乐观态度。对比较优势的讨论也包括在内。
Ranking fuzzy numbers is important in decision making. Since very often the alternatives are evaluated by fuzzy numbers in a vague environment, a comparison between these fuzzy numbers is indeed a comparison between alternatives. This paper proposes a method of ranking fuzzy numbers with integral value. The method, which is independent of the type of membership functions used and the normality of the functions, can rank more than two fuzzy numbers simultaneously. It is relatively simple in computation, especially in ranking triangular and trapezoidal fuzzy numbers. Further, an index of optimism is used to reflect the decision maker's optimistic attitude. Discussion on comparative advantages is included.