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
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;
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
DOI :
10.1109/NAFIPS.2008.4531308
