Application And Research Of Vague Set Theory On Intelligent Decision

Vague sets proposed by W.L.Gau and D.J.Buehrer, are the development of Fuzzy sets. However, compared with fuzzy sets, vague sets can express and process more accurate and abundant fuzzy information, and have provided a new tool to computers handling intelligent information. The vague sets theory and its application on intelligent decision-making and pattern recognition have been researched thoroughly in this paper.In this paper, firstly, the basic concepts of vague sets and fuzzy sets are introduced. Secondly, by comparing and analyzing existing vague entropy, new vague entropy according with the intuitive is presented. Thirdly, similarity measure is an important method widely used in data-processing and analysis. Based on the various axiomatic similarity criteria, a new definition of similarity measure is proposed through analysis and comparison of several current similarity measures, and a new similarity measure including the difference between two vague values that comprise real membership, false membership, unknown and score is presented. The application of similarity measure on the intelligent decision is illustrated by an example. Moreover, In order to carry out more effectively fuzzy decision-making, taking full account of the impact of the objectives conditions to the candidate project, the grey correlation analysis theory is introduced into the method of multicriteria fuzzy decision-making based on vague sets. The new method can confirm the optimal project through analysing grey correlation between every candidate project set and the ideal set, and the conclusion is more comprehensive, objective and accurate. Finally, vague similarity matrix is established through applying grey correlation analysis method, and clustering analysis can be processed on the basis of vague similarity matrix. By full using multi-dimension features of vague sets including the positive, negative and unknown, the clustering analysis method provides a powerful tool to vague sets applications on the pattern recognition and intelligent information processing.