σ-entropy，σ-distance measure and σ-similarity measure of intuitionistic interval-valued fuzzy sets

Computer Engineering and Applications ›› 2008, Vol. 44 ›› Issue (9): 70-72.

• 理论研究 • Previous Articles Next Articles

σ-entropy，σ-distance measure and σ-similarity measure of intuitionistic interval-valued fuzzy sets

YU Feng,YANG Cheng-wu

School of Power Engineering，Nanjing University of Science and Technology，Nanjing 210094，China

Received:2007-07-16 Revised:2007-11-05 Online:2008-03-21 Published:2008-03-21
Contact: YU Feng

直觉区间值模糊集的σ-熵、σ-距离测度和σ-相似测度

俞峰,杨成梧

南京理工大学动力工程学院，南京 210094

通讯作者: 俞峰

Abstract

Abstract: The σ-measures and weak σ-measures are important concepts in fuzzy information measure.Entropy，distance measure and similarity measure are special cases of σ-measures and weak σ-measures.Based on the definition of intuitionistic interval-valued fuzzy sets，this paper gives the definitions and properties of σ-entropy and weak σ-entropy，σ-distance measure and weak σ-distance measure，σ-similarity measure and weak σ-similarity measure，then discusses basic relations among them.

Key words: intuitionistic interval-valued fuzzy sets, σ-measures, weak σ-measures, entropy, distance measure, similarity measure

摘要： σ-度量和弱σ-度量是模糊信息度量的重要概念。熵、距离测度和相似测度是σ-度量和弱σ-度量的特例。在直觉区间值模糊集定义的基础上，给出了σ-熵和弱σ-熵、σ-距离测度和弱σ-距离测度、σ-相似测度和弱σ-相似测度的定义与性质，并讨论了它们之间的关系。

关键词: 直觉区间值模糊集, σ-度量, 弱σ-度量, 熵, 距离测度, 相似测度

YU Feng,YANG Cheng-wu. σ-entropy，σ-distance measure and σ-similarity measure of intuitionistic interval-valued fuzzy sets[J]. Computer Engineering and Applications, 2008, 44(9): 70-72.

俞峰,杨成梧. 直觉区间值模糊集的σ-熵、σ-距离测度和σ-相似测度[J]. 计算机工程与应用, 2008, 44(9): 70-72.

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σ-entropy，σ-distance measure and σ-similarity measure of intuitionistic interval-valued fuzzy sets

直觉区间值模糊集的σ-熵、σ-距离测度和σ-相似测度

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