New entropy formular for intuitionistic fuzzy sets and its application

Abstract

Abstract: The entropy for intuitionistic fuzzy sets reflects the fuzziness and uncertainty of the intuitionistic fuzzy sets. Therefore, it is extremely significant to put forward the reasonable and right axiomatic definition and calculation formula of the intuitionistic fuzzy sets. The paper points out the irrationality of the calculation formula in the literature by example, and puts forward a new calculation formula of the entropy for intuitionistic fuzzy sets. The proof is given. The weight determined by the entropy for intuitionistic fuzzy sets is applied to the fuzzy reasoning. Accordingly, to solve the practical problems is effective.

Key words: intuitionistic fuzzy sets, entropy, weight, fuzzy reasoning

摘要： 直觉模糊熵反映了直觉模糊集的模糊性和不确定性，因而提出合理正确的直觉模糊熵的公理化定义以及计算公式是十分重要的。通过实例指出已有文献中直觉模糊熵计算公式的不合理，提出新的直觉模糊熵的计算公式，对其进行了证明。根据该直觉模糊熵确定的权重应用到模糊推理过程中，从而有效地解决实际问题。

关键词: 直觉模糊集, 熵, 权重, 模糊推理

SHEN Xiaoxue, GUO Sicong. New entropy formular for intuitionistic fuzzy sets and its application[J]. Computer Engineering and Applications, 2013, 49(24): 28-31.

沈小雪，郭嗣琮. 新的直觉模糊熵公式及其应用[J]. 计算机工程与应用, 2013, 49(24): 28-31.

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New entropy formular for intuitionistic fuzzy sets and its application

新的直觉模糊熵公式及其应用

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