Title :
Some Parametric Forms for LR Fuzzy Numbers and LR Fuzzy Arithmetic
Author :
Sorini, Laerte ; Stefanini, Luciano
Author_Institution :
Univ. of Urbino Carlo Bo, Urbino, Italy
fDate :
Nov. 30 2009-Dec. 2 2009
Abstract :
In this paper we show that the models for parametric representation of fuzzy numbers in the level-cuts setting can be used to model LR fuzzy numbers and LR fuzzy arithmetic. This extends the family of LR fuzzy numbers to a sequence of finite-dimensional subspaces, approximating the space of fuzzy numbers with increasing goodness. The basic arithmetic with parametric LR fuzzy numbers is illustrated in an algorithmic framework.
Keywords :
approximation theory; arithmetic; fuzzy set theory; LR fuzzy arithmetic; LR fuzzy numbers; finite-dimensional subspaces; parametric representation models; space approximation; Arithmetic; Fuzzy sets; Fuzzy systems; Intelligent systems; Interpolation; Logistics; Parameter estimation; Polynomials; Shape; Spline; LR fuzzy numbers; fuzzy arithmetic; parametric membership functions;
Conference_Titel :
Intelligent Systems Design and Applications, 2009. ISDA '09. Ninth International Conference on
Conference_Location :
Pisa
Print_ISBN :
978-1-4244-4735-0
Electronic_ISBN :
978-0-7695-3872-3
DOI :
10.1109/ISDA.2009.229
