This paper is concerned with the development of FuRII, a pixel-based image classification tool developed at DRDC Valcartier. FuRII is based on fuzzy sets and evidence theories and is implemented as an ENVI toolbox. The aim with this tool is to compare several fusion operators and rules in the context of image classification applied to land cover mapping. Several fuzzy fusion operators (conjunctive, disjunctive, adaptive and quantified adaptive fusion) and evidential fusion rules (Dempster, Dubois and
Prade, Yager and Smets) are tested. FuRII permits to model imprecise knowledge with membership functions and fusion can be performed directly with membership values or with mass functions. In this later case, a transformation of membership values into basic belief values is computed. Finally, FuRII permits integration of source reliability into the fusion process.This paper is arranged as follow. Section 2 gives some theoretical background while section 3 contains a short description of the parameters that can be controlled within FuRII. Section 4 gives a description of the data sets used in this study. Section 5 presents the results obtained with different configurations. Finally section 6 discusses the results and section 7 concludes this document.
Theoretical background 2.1 Fuzzy setsFuzzy sets theory was proposed by Zadeh in 1965 [1] in order to deal with imprecise information. The fuzzy inference process is the comparison of an observation (a fact) that can be crisp or fuzzy with imprecise information represented by a membership function. The result is a membership value that measures to what extent the fact corresponds to a class according to the feature modeled with the membership function. When considering M features (i.e. spectral bands) and N classes, the fuzzy inference produces a matrix of M by N membership values. In order to decide which class the object belongs to, fusion operators are necessary.