DocumentCode :
3664044
Title :
A note on fuzzy-transform approximation of fuzzy numbers
Author :
Lucian Coroianu;Luciano Stefanini
Author_Institution :
Department of Mathematics and Computer Science, University of Oradea, Romania
fYear :
2015
Firstpage :
1
Lastpage :
6
Abstract :
A possibilistic representation of fuzzy numbers/intervals can be obtained in terms of a fuzzy distribution function (the average of the possibility and necessity functions). The fuzzy distribution function is monotonic non decreasing upper-semicontinuous and there exists a simple one-to-one correspondence between the space of such functions and the space of fuzzy numbers, i.e., with normal, upper semicontinuous quasi concave membership function. As a consequence, the monotonic F-transform approximation of the fuzzy distribution function produces an approximation of any fuzzy number. Properties and examples are given.
Keywords :
"Distribution functions","Radio frequency","Cognition","Estimation","Convergence","Chebyshev approximation"
Publisher :
ieee
Conference_Titel :
Fuzzy Information Processing Society (NAFIPS) held jointly with 2015 5th World Conference on Soft Computing (WConSC), 2015 Annual Conference of the North American
Type :
conf
DOI :
10.1109/NAFIPS-WConSC.2015.7284184
Filename :
7284184
Link To Document :
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