Information Entropy Fuzzy Matter-element Model and Its Application to Regional Eco-Environmental Quality Assessment

Based on the fuzzy characters of eco-environmental quality conception and classification standards, the incompatibility of evaluation indexes, the statistical fluctuation of index values, an information entropy fuzzy matter-element model for evaluating regional eco-environmental quality is proposed by way of comprehensively utilizing such theories as information theory, fuzzy sets and matter-element theory, etc. As a case, the model established here is used to evaluate the eco-environmental quality of Lake Chaohu basin. In the case, the eco-environmental quality standards and the evaluated schemes are indicated as matter-elements, together. Through constructing compound fuzzy matter-element, probability compound fuzzy matter-element and self-information compound fuzzy matter- element, the information entropy of each matter-element （including evaluated schemes and classification standards） is calculated in the end. According to these obtained information entropy values, the evaluated schemes can be not only arranged in quality state order but also classified by classification standards .Study result shows that information entropy fuzzy matter-element model is suitable for regional eco-environmental quality assessment.

Information Entropy Fuzzy Matter-element Model and Its Application to Regional Eco-Environmental Quality Assessment