New entropy for intuitionistic fuzzy sets

doi:10.3778/j.issn.1002-8331.2009.34.010

Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (34): 32-34.DOI: 10.3778/j.issn.1002-8331.2009.34.010

• 研究、探讨 • Previous Articles Next Articles

New entropy for intuitionistic fuzzy sets

NIU Cai-yun，YANG Yong，JIN Lan

College of Mathematics and Information Science，Northwest Normal University，Lanzhou 730070，China

Received:2009-06-25 Revised:2009-10-09 Online:2009-12-01 Published:2009-12-01
Contact: NIU Cai-yun

一种新的直觉模糊集的熵

牛彩云，杨勇，金兰

西北师范大学数学与信息科学学院，兰州 730070

通讯作者: 牛彩云

Abstract

Abstract: Based on the concepts of intuitionistic fuzzy set and entropy by analying some problems existed in methods for calculating entropy of intuitionistic fuzzy sets，a new entropy for intuitionistic fuzzy sets is presented and its structure，properties are discussed.Compared with other existing entropies，it shows that the result of this entropy is among those of other methods.Therefore，it can make better limits to fuzziness of the fuzzy question and help people understand the fuzzy questions.Finally，its effectiveness is validated by some examples.

Key words: intuitionistic fuzzy sets, entropy, fuzziness

摘要： 通过分析现有直觉模糊熵计算方法中存在的一些问题，基于直觉模糊集理论和熵的概念，提出一种新的直觉模糊集的熵，给出它的结构、性质，并将其与现有的几种直觉模糊集的熵进行比较，发现其计算结果介于其他几种方法的计算结果之间，因而能够对模糊问题的模糊性做出更好的界定，有助于人们对模糊问题的理解和把握。最后，通过实例验证了它的有效性。

关键词: 直觉模糊集, 熵, 模糊性

CLC Number:

TP18

NIU Cai-yun，YANG Yong，JIN Lan. New entropy for intuitionistic fuzzy sets[J]. Computer Engineering and Applications, 2009, 45(34): 32-34.

牛彩云，杨勇，金兰. 一种新的直觉模糊集的熵[J]. 计算机工程与应用, 2009, 45(34): 32-34.

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New entropy for intuitionistic fuzzy sets

一种新的直觉模糊集的熵

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