Title :
Calculations on the supremum of fuzzy numbers
Author_Institution :
Dept. of Mathematics, Ningbo Univ., China
Abstract :
In C.-X. Wu and C. Wu (1997) the existences of supremum and infimum of a set of fuzzy numbers were proved by using levelwise method. In T.-H. Fan and G.-J. Wang (2004), we showed that the supremum and infimum can be finitely approximated via endograph metric. In this paper, we give a method to calculate supremum and infimum of fuzzy sets in a way that resembles the Riemann sum in calculus.
Keywords :
fuzzy set theory; endograph metric; fuzzy numbers; fuzzy sets; infimum; supremum; Calculus; Erbium; Fuzzy sets; Mathematics; Topology;
Conference_Titel :
Fuzzy Information, 2004. Processing NAFIPS '04. IEEE Annual Meeting of the
Print_ISBN :
0-7803-8376-1
DOI :
10.1109/NAFIPS.2004.1337366
