Title
Continuity of approximate reasoning using fuzzy number under Łukasiewicz t-norm
Abstract
In this study, we analyzed the fuzzy approximate reasoning using t-norm calculation. We apply theoretical results to fuzzy optimal control. The input of the IF-THEN rules is conducted using fuzzy numbers instead of crisp numbers. We concluded that there is continuity in approximate reasoning, as well as compactness in the set of membership functions for fuzzy inference. In addition, the existence of a minimum value of the function that evaluates non-linear control is presented.
Year
DOI
Venue
2015
10.1109/ICCIS.2015.7274550
2015 IEEE 7th International Conference on Cybernetics and Intelligent Systems (CIS) and IEEE Conference on Robotics, Automation and Mechatronics (RAM)
Keywords
Field
DocType
approximate reasoning continuity,fuzzy number,Łukasiewicz t-norm,fuzzy approximate reasoning,t-norm calculation,fuzzy optimal control,IF-THEN rules,membership functions,fuzzy inference,function minimum value,nonlinear control
Applied mathematics,Mathematical optimization,Fuzzy classification,Defuzzification,Control theory,Fuzzy set operations,Fuzzy mathematics,Fuzzy set,Fuzzy number,Type-2 fuzzy sets and systems,Membership function,Mathematics
Conference
ISSN
ISBN
Citations 
2326-8123
978-1-4673-7337-1
0
PageRank 
References 
Authors
0.34
3
6
Name
Order
Citations
PageRank
Takashi Mitsuishi11811.15
Nami Shimada201.01
Toshimichi Homma311.89
Mayumi Ueda4243.60
Masayuki Kochizawa500.34
Yasunari Shidama616672.47