Fuzzy decision making for medical diagnosis based on fuzzy number and compositional rule of inference

2001 ◽  
Vol 120 (2) ◽  
pp. 351-366 ◽  
Author(s):  
Janis Fan-Fang Yao ◽  
Jing-Shing Yao
Author(s):  
FACHAO LI ◽  
FEI GUAN ◽  
CHENXIA JIN

One of the key issues for support fuzzy decision-making is fuzzy number ranking. The existing ranking methods either do not provide a total ordering or cannot be effectively applied to decision-making processes. In this paper, we first give five basic principles that interval number ranking must satisfy, and construct a quantitative ranking model of interval numbers based on the synthesis effects of each index. We then propose a new constructions method of synthesis effect function systematically. Third, we also develop a new fuzzy numbers ranking model based on numerical characteristics, combining with the interval representation theorem of fuzzy numbers, and analyze the performance and characteristics of this ranking method by a case-based example. The results indicate that this proposed ranking method has good operability and interpretability, which can integrate the decision consciousness into decision process effectively and serve as a guideline for constructing different fuzzy decision methods.


2015 ◽  
Vol 25 (2) ◽  
pp. 271-282 ◽  
Author(s):  
Ping-Teng Chang ◽  
Lung-Ting Hung

This paper provides an improved decision making approach based on fuzzy numbers and the compositional rule of inference by Yao and Yao (2001). They claimed to have created a new method that combines statistical methods and fuzzy theory for medical diagnosis. Currently, numerous papers have cited that work. In this study, we show that if we follow their matrix multiplication operation approach, we will obtain the same result as the original method proposed by Klir and Yuan (1995). Owing to a wellknown property of (row) stochastic matrices, if the multiplication is closed, the fuzzy and defuzzy procedure of Yao and Yao (2001) is redundant. Therefore, we advise researchers to think twice before applying this approach to medical diagnosis.


2021 ◽  
Vol 154 ◽  
pp. 107103
Author(s):  
Fanyong Meng ◽  
Jie Tang ◽  
Witold Pedrycz

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