Title
Some notes on optimal fuzzy reasoning methods.
Abstract
The optimal fuzzy reasoning (OFR) method proposed by Zhang and Cai (2004) is treated as a control problem and it is dramatically different from other existing fuzzy reasoning methods. The aim of this paper is to make some notes on OFR methods. We give a modification of an OFR method presented by Zhang and Cai. Some advantages and limitations of OFR methods are examined. We introduce several new OFR methods based on the Łukasiewicz implication, the Kleene-Dienes implication and the Zadeh implication. The reasoning consistency of the proposed methods is studied. The relationship between the OFR method and other fuzzy reasoning methods (e.g., the compositional rule of inference method and the pointwise optimizing fuzzy inference method) is examined.
Year
DOI
Venue
2019
10.1016/j.ins.2019.07.013
Information Sciences
Keywords
Field
DocType
Optimal fuzzy reasoning,Compositional rule of inference,Pointwise optimizing fuzzy inference,Fuzzy implication,Fuzzy reasoning
Fuzzy reasoning,Intelligent decision support system,Fuzzy inference,Robustness (computer science),Artificial intelligence,Rule of inference,Zhàng,Machine learning,Mathematics,Pointwise
Journal
Volume
ISSN
Citations 
503
0020-0255
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Yingfang Li1687.41
Xingxing He28413.90
Ke-yun Qin3112.91
Dan Meng400.68