DocumentCode
1604505
Title
Using gradual numbers to analyze non-monotonic functions of fuzzy intervals
Author
Untiedt, Elizabeth ; Lodwick, Weldon
Author_Institution
Dept. of Math. Sci., Univ. of Colorado Denver, Denver, CO
fYear
2008
Firstpage
1
Lastpage
6
Abstract
Gradual numbers have been introduced recently as a means of extending standard interval computation methods to fuzzy intervals. The literature treats monotonic functions of fuzzy intervals. In this paper, we combine the concepts of gradual numbers and optimization, which allows for the evaluation of any differentiable function on fuzzy intervals, with no monotonicity requirement.
Keywords
functions; fuzzy set theory; number theory; optimisation; differentiable function; fuzzy interval; gradual number; nonmonotonic function analysis; optimization; Arithmetic; Fuzzy sets; Welding;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Information Processing Society, 2008. NAFIPS 2008. Annual Meeting of the North American
Conference_Location
New York City, NY
Print_ISBN
978-1-4244-2351-4
Electronic_ISBN
978-1-4244-2352-1
Type
conf
DOI
10.1109/NAFIPS.2008.4531308
Filename
4531308
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