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A way to deal with the rule-explosion problem is to use the hierarchical fuzzy systems. In this paper, the hierarchical fuzzy system is constructed first and the property of the hierarchical system is discussed. Then the error properties of the polynomial and hierarchical polynomial are given. Based on these properties, the universal approximation property of the hierarchical fuzzy systems is proved...
As a branch of Group Decision-Making Method, Grade division plays an important role in many applications such as hazard assessment, quality evaluation, and performance inspection and so on. At present, the most popular grade division method is fuzzy comprehensive evaluation, which determines the decision objects' grade through analysis of evaluation vector. One problem with this approach is that it...
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