Title :
A comparison of interval analysis using constraint interval arithmetic and fuzzy interval analysis using gradual numbers
Author :
Lodwick, Weldon A. ; Untiedt, Elizabeth A.
Author_Institution :
Dept. of Math., Univ. of Colorado at Denver, Denver, CO
Abstract :
There are two approaches that restore the algebraic properties of real arithmetic to fuzzy arithmetic - constraint interval arithmetic on alpha-cuts and arithmetic on intervals of gradual numbers. In this study, the relationships between fuzzy interval analysis from a constraint interval approach and from a gradual number approach will be discussed.
Keywords :
arithmetic; fuzzy set theory; number theory; constraint interval arithmetic; fuzzy arithmetic; fuzzy interval analysis; gradual number; Additives; Arithmetic; Constraint optimization; Fuzzy set theory; Fuzzy sets; Mathematics; Robustness; Welding; Interval analysis; fuzzy analysis; fuzzy intervals; gradual numbers; intervals;
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.2008.4531302
