Theory And Application Of Flou Sets And Flou-valued Sets

Flou set is a non-classical set proposed by Gentihomme. It is not only an extensionof classical sets, but also a simplification of fuzzy sets. This feature makes it takespecial advantages in expressing and processing information.In this paper, we put forward fuzzy region model based on Flou set. In addition,theory and application of Flou-valued fuzzy set is studied.Firstly, A method described the fuzzy regions using Flou set is proposed. Based onit, the metric description of topological relations between fuzzy regions is put forward.Then, an overlay analysis model of fuzzy raster map layers is given.Secondly, a new kind of L-fuzzy set which is called Flou-valued set is introducedWe put forward eight kinds of cut set on the Flou-valued set. Based on them, thedecomposition theorems and the representation theorems are obtained.Finally, we consider Flou-valued fuzzy multi-attribute decision-making modelwhose attribute values are expressed by2-Flou numbers as application of Flou-valuedfuzzy set. The Flou-valued fuzzy decision-making method on a certain satisfactorydegree and based on possibility degree are established accordingly.