Geodesic
Discussion on Fuzzy Decision Making Based on Fuzzy Number and Compositional Rule of Inference
Yugoslav journal of operations research, Tome 25 (2015) no. 2, p. 271 .

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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 well- known 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.
Classification : 62C86, 90B50
Mots-clés : Fuzzy decision making, Fuzzy number, Medical diagnosis, Interval estimate. 
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     author = {Ping-Teng Chang and Lung-Ting Hung},
     title = {Discussion on {Fuzzy} {Decision} {Making} {Based} on {Fuzzy} {Number} and {Compositional} {Rule} of {Inference}},
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Ping-Teng Chang; Lung-Ting Hung. Discussion on Fuzzy Decision Making Based on Fuzzy Number and Compositional Rule of Inference. Yugoslav journal of operations research, Tome 25 (2015) no. 2, p. 271 . https://geodesic-test.mathdoc.fr/item/YJOR_2015_25_2_a5/