关键词: Vague集, 未知度, 模糊度, Vague熵

Abstract: This paper analyzes the essence of fuzzy origin, and points out the deficiencies of the existing constructional method on entropy of Vague sets. It summarizes the axiomatic definition of entropy of Vague sets according with uncertainty and fuzzyness. It presents a new weighted formula of Vague entropy, which not only completely shows the fuzzy degree of Vague set, but also gives the more reasonable and intuitive results, based on the theorem proving and examples comparison analysis.

Key words: Vague sets, uncertainty, fuzzyness, Vague entropy