Abstract

Science achievement is combinations with lots of attributes, such as creativity, sociality and scientificalness, etc. And process of judgement is a fuzzy synthesis in science award decision, so it is difficult to model them in conventional figures. It makes a conclusion that science achievement and decision results are showed in interval fuzzy numbers reasonably and scientifically after research attributes of interval number. Therefore, in the paper sequence between interval numbers is developed and further study points to properties of interval sequence. On the basis of properties, we prove that there must be the interval sequence between interval fuzzy numbers and the interval sequence is exclusive theoretically. Consequently, science achievement could be ranked by interval sequence function. At last, we present interval fuzzy sets to scores of experts and to model of science award, and the decision is reasonable.

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