RM approach for ranking of generalized trapezoidal fuzzy numbers
RM approach for ranking of generalized trapezoidal fuzzy numbers
复制标题
广义梯形模糊数排序的 RM 方法
DOI：
10.1007/s12543-010-0036-7
复制
发表时间：
2010
影响因子：
1.2
通讯作者：
Parmpreet Kaur
中科院分区：
文献类型：
--
作者：
Amit Kumar;Pushpinder Singh;A. Kaur;Parmpreet Kaur
模糊数的排序在决策、优化和预测等方面起着重要的作用，决策者在采取行动之前必须对模糊数进行排序。本文通过几个反例证明了Chen和Chen（Expert Systems with Applications 36（3）：6833）提出的排序方法是错误的。本文的主要目的是提出一种新的方法来排序广义梯形模糊数。所提出的排序方法是基于秩和众数，因此它被命名为RM方法。该方法的主要优点是，不仅能给出广义梯形模糊数和正规梯形模糊数的正确排序，而且方法简单，易于应用于真实的生活问题.结果表明，所提出的排序函数满足Wang和Kerre（Fuzzy Sets and Systems 118（3）：375）提出的模糊量的所有合理性质。
Ranking of fuzzy numbers play an important role in decision making, optimization and forecasting etc. Fuzzy numbers must be ranked before an action is taken by a decision maker. In this paper, with the help of several counter examples, it is proved that ranking method proposed by Chen and Chen (Expert Systems with Applications 36 (3): 6833) is incorrect. The main aim of this paper is to propose a new approach for the ranking of generalized trapezoidal fuzzy numbers. The proposed ranking approach is based on rank and mode so it is named as an RM approach. The main advantage of the proposed approach is that the proposed approach provides the correct ordering of generalized and normal trapezoidal fuzzy numbers and also the proposed approach is very simple and easy to apply in the real life problems. It is shown that proposed ranking function satisfies all the reasonable properties of fuzzy quantities proposed by Wang and Kerre (Fuzzy Sets and Systems 118 (3): 375).