Formula of interval-valued intuitionistic fuzzy entropy and its applications

Computer Engineering and Applications ›› 2012, Vol. 48 ›› Issue (2): 53-55.

• 研究、探讨 • Previous Articles Next Articles

Formula of interval-valued intuitionistic fuzzy entropy and its applications

GAO Zhihai, WEI Cuiping

Department of Operation Research and Management, Qufu Normal University, Rizhao, Shandong 276826, China

Received:1900-01-01 Revised:1900-01-01 Online:2012-01-11 Published:2012-01-11

一种区间直觉模糊熵公式及其应用

高志海，魏翠萍

曲阜师范大学运筹与管理学院，山东日照 276826

Abstract

Abstract: The normal Hamming distance of interval-valued intuitionistic fuzzy sets is improved that not only consider their membership, non-membership, but also consider their hesitancy degree. A formula of interval-valued intuitionistic fuzzy entropy based on the normal Hamming distance is proposed. The proposed distance and entropy are used to solve multi-attribute decision making problems based on interval-valued intuitionistic fuzzy sets with unknown information of attribute weights.

Key words: multi-attribute decision making, interval-valued intuitionistic fuzzy sets, Hamming distance, Entropy

摘要： 改进了区间直觉模糊集的标准Hamming距离公式，使改进后的公式不仅考虑了区间直觉模糊集的隶属度和非隶属度，还考虑了犹豫度。基于该距离公式定义了一个区间直觉模糊集的熵公式。将提出的距离和熵公式应用于解决属性权重未知的区间直觉模糊多属性决策问题。

关键词: 多属性决策, 区间直觉模糊集, Hamming距离, 熵

GAO Zhihai, WEI Cuiping. Formula of interval-valued intuitionistic fuzzy entropy and its applications[J]. Computer Engineering and Applications, 2012, 48(2): 53-55.

高志海，魏翠萍. 一种区间直觉模糊熵公式及其应用[J]. 计算机工程与应用, 2012, 48(2): 53-55.

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Formula of interval-valued intuitionistic fuzzy entropy and its applications

一种区间直觉模糊熵公式及其应用

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