Triangular norm-based cuts and possibility characteristics of triangular intuitionistic fuzzy numbers for decision making
Triangular norm-based cuts and possibility characteristics of triangular intuitionistic fuzzy numbers for decision making
复制标题
用于决策的基于三角范数的割裁和三角直觉模糊数的可能性特征
DOI：
10.1002/int.21974
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发表时间：
2018
影响因子：
7
通讯作者：
Li Hong-Quan
中科院分区：
文献类型：
--
作者：
Yi Zhi-Hong;Li Hong-Quan
三角直觉模糊数（TIFN）是管理表达决策数据和解决决策问题的模糊性和不明确性的有用工具之一。本文提出了基于三角范数（t-范数）的 TIFN 割集，以综合描述割集的隶属函数和非隶属函数，然后给出 TIFN 的可能性特征，即可能性均值、可能性方差和可能性均值标准差比。因此，基于可能性均值-标准差比，引入了TIFNs的排序方法。利用这些元素，提出了一种多属性决策（MADM）方法，并通过数值示例进行了说明。结果表明，MADM方法综合考虑了隶属函数和非隶属函数，能够得出客观合理的结果。
Triangular intuitionistic fuzzy numbers (TIFNs) is one of the useful tools to manage the fuzziness and vagueness in expressing decision data and solving decision making problems. In this paper, triangular norm (t‐norm) based cuts of TIFNs are developed to synthesize the membership and nonmembership functions in describing the cut sets, then the possibility characteristics of TIFNs, i.e., the possibility mean, the possibility variance, and the possibility mean‐standard deviation ratio, are given. Thereby, on the ground of the possibility mean‐standard deviation ratio, a ranking method of TIFNs is introduced. With these elements, an approach to multiple attributes decision making (MADM) is proposed and illustrated by a numerical example. It is shown that the approach to MADM comprehensively considers both the membership and nonmembership functions and can lead to objective and reasonable results.