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.
Some Parametric Forms for LR Fuzzy Numbers and LR Fuzzy Arithmetic
SORINI, LAERTE
;STEFANINI, LUCIANO
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.File in questo prodotto:
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