Some distances, similarity and entropy measures for interval-valued neutrosophic sets and their relationship

被引：86

作者：

Ye, Jun ^{[1
]}

Du, Shigui ^{[2
]}

机构：

[1] Shaoxing Univ, Dept Elect & Informat Engn, 508 Huancheng West Rd, Shaoxing 312000, Zhejiang, Peoples R China

[2] Shaoxing Univ, Dept Civil Engn, 508 Huancheng West Rd, Shaoxing 312000, Zhejiang, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS | 2019年 / 10卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Interval-valued neutrosophic set; Distance measure; Similarity measure; Entropy; Decision making; INTUITIONISTIC FUZZY-SETS; CORRELATION-COEFFICIENT; AGGREGATION OPERATORS;

D O I：

10.1007/s13042-017-0719-z

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper proposes some new distance measures between interval-valued neutrosophic sets (IvNSs) and their similarity measures. Then, some entropy measures of IvNS based on the distances are proposed as the extension of the entropy measures of interval-valued intuitionistic fuzzy sets (IvIFSs). Also, we investigate the relationship between the presented entropy measures and the similarity measures for IvNSs. Finally, the comparison of the new entropy measures with existing entropy measures for IvNSs is given by the numerical and decision-making examples to demonstrate that the proposed new entropy measures for IvNSs are effective and reasonable and more intelligible in representing the degree of fuzziness of IvNSs than the existing ones.

引用

页码：347 / 355

页数：9

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