针对现有的直觉模糊熵的公理化定义和构造公式未能全面体现直觉模糊集模糊性的缺陷进行分析,提出一种改进的直觉模糊熵的公理化定义,据此构造一个新的直觉模糊熵的计算公式,并将该公式与现有直觉模糊熵公式进行比较。算例分析表明,所提出的熵公式能够更充分地反映直觉模糊集的不确定性和未知性程度。
In view of the axiomatic definitions and the structure formulas of intuitionistic fuzzy sets, the defects of current researches which failed to fully reflect the fuzziness of intuitionistic fuzzy sets are introduced detailed respectively. An revised axiomatic definition of intuitionistic entropy is presented and a corresponding formula is structured. Then the intuitionistic fuzzy entropy formulas proposed by former references are discussed and compared with the proposed formula. Example analysis indicates that the proposed entropy measure can fully demonstrate the fuzziness and intuitionism of intuitionistic fuzzy sets.