New entropy formula of intuitionistic fuzzy sets and its application

Computer Engineering and Applications ›› 2013, Vol. 49 ›› Issue (23): 48-51.

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New entropy formula of intuitionistic fuzzy sets and its application

WU Tao1，2, BAI Lihu1, LIU Erbao1, SUN Xiaohui1

1.School of Mathematical Science, Anhui University, Hefei 230601, China
2.Key Laboratory of Intelligent Computing & Signal Processing of Ministry of Education, Anhui University, Hefei 230039, China

Online:2013-12-01 Published:2016-06-12

直觉模糊集新的熵公式及应用

吴涛1，2，白礼虎1，刘二宝1，孙小慧1

1.安徽大学数学科学学院，合肥 230601
2.安徽大学计算智能与信号处理教育部重点实验室，合肥 230039

Abstract

Abstract: With regard to the existing problems of axiomatic definition of entropy of intuitionistic fuzzy sets, a new revised axio-
matic definition is given, then a new formula of entropy of intuitionistic fuzzy sets is proposed and proved. A multiple attribute decision making approach based on the entropy of intuitionistic fuzzy number is given, the effectiveness and rationality are verified by a practical example.

Key words: axiom definition, fuzziness, uncertainty, intuitionistic fuzzy set, entropy

摘要： 针对直觉模糊集的熵的公理化定义中存在的问题，修正了直觉模糊熵的公理化定义，给出了一个新的直觉模糊集的熵的计算公式，证明了其正确性。给出了一个基于直觉模糊数的熵的多属性决策算法，应用实例表明其合理性和有效性。

关键词: 公理化定义, 模糊性, 不确定性, 直觉模糊集, 熵

WU Tao1，2, BAI Lihu1, LIU Erbao1, SUN Xiaohui1. New entropy formula of intuitionistic fuzzy sets and its application[J]. Computer Engineering and Applications, 2013, 49(23): 48-51.

吴涛1，2，白礼虎1，刘二宝1，孙小慧1. 直觉模糊集新的熵公式及应用[J]. 计算机工程与应用, 2013, 49(23): 48-51.

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New entropy formula of intuitionistic fuzzy sets and its application

直觉模糊集新的熵公式及应用

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