Title :
On Interval Fuzzy Numbers
Author :
Dimuro, Graçaliz Pereira
Author_Institution :
Centre de Cienc. Computacionais, Univ. Fed. do Rio Grande, Rio Grande, Brazil
Abstract :
Interval fuzzy sets allow us to deal not only with vagueness (lack of sharp class boundaries), but also with uncertainty (lack of information). The aim of this tutorial is to present some basic concepts about interval fuzzy numbers. Several concepts related to fuzzy sets are extended to the interval approach. We present an algebraic and ordered structure of interval fuzzy numbers, where the arithmetic operations are defined in terms of interval cuts, allowing the analysis of the properties of the operations based on the properties of the interval arithmetic operations.
Keywords :
algebra; fuzzy set theory; algebraic structure; interval arithmetic operation; interval fuzzy number; interval fuzzy sets; ordered structure; Equations; Fuzzy set theory; Fuzzy sets; Gold; Tutorials; Uncertainty; Interval fuzzy set; interval fuzzy number;
Conference_Titel :
Theoretical Computer Science (WEIT), 2011 Workshop-School on
Conference_Location :
Pelotas, RS
Print_ISBN :
978-1-4673-0225-8
DOI :
10.1109/WEIT.2011.19
