T2SVNSs 的熵和相似性度量及其应用

doi:10.13371/j.cnki.chin.q.j.m.2021.02.005

数学季刊 ›› 2021, Vol. 36 ›› Issue (2): 160-175.doi: 10.13371/j.cnki.chin.q.j.m.2021.02.005

T2SVNSs 的熵和相似性度量及其应用

1. Foundation Department, Sichuan Institute of Industrial Technology, Deyang 618500, China;
2. School of Science, Southwest Petroleum University, Chengdu 610500, China

收稿日期:2020-11-22 出版日期:2021-06-30 发布日期:2021-04-12
作者简介:GENG Juan-juan (1988-), female, native of Kaifeng, Henan, lecturer of Sichuan Institute of Industrial Technology, M.S., engages in application of probability and statistics; YE Wan-hong (1979-), male, native of Deyang, Sichuan, associate professor of Sichuan Institute of Industrial Technology, M.S., engages in number theory; ZHANG Ju (1982-), female, native of Deyang, Sichuan, lecturer of Sichuan Institute of Industrial Technology, B.D.,engages in computational mathematics; XU Dong-sheng (1976-), male, native of Nanchong, Sichuan, professor in the School of Science of Southwestern Petroleum University, Ph.D., engages in financial asset pricing.
基金资助:
Supported by Humanities and Social Sciences Foundation of Ministry of Education of the
Peoples Republic of China (Grant No.17YJA630115).

Entropy and Similarity Measure for T2SVNSs and Its Application

1. Foundation Department, Sichuan Institute of Industrial Technology, Deyang 618500, China;
2. School of Science, Southwest Petroleum University, Chengdu 610500, China

Received:2020-11-22 Online:2021-06-30 Published:2021-04-12
About author:GENG Juan-juan (1988-), female, native of Kaifeng, Henan, lecturer of Sichuan Institute of Industrial Technology, M.S., engages in application of probability and statistics; YE Wan-hong (1979-), male, native of Deyang, Sichuan, associate professor of Sichuan Institute of Industrial Technology, M.S., engages in number theory; ZHANG Ju (1982-), female, native of Deyang, Sichuan, lecturer of Sichuan Institute of Industrial Technology, B.D.,engages in computational mathematics; XU Dong-sheng (1976-), male, native of Nanchong, Sichuan, professor in the School of Science of Southwestern Petroleum University, Ph.D., engages in financial asset pricing.
Supported by:
Supported by Humanities and Social Sciences Foundation of Ministry of Education of the
Peoples Republic of China (Grant No.17YJA630115).

摘要/Abstract

摘要： The objective of this paper is to present a new approach for solving the multicriteria group decision-making (MCGDM) problems in type-2 single valued neutrosophic
set (T2SVNS) environment. Firstly, we give the concepts SVNS, T2SVNS and tangent
similarity measure with T2SVN information. Secondly, we define a new entropy function
for determining unknown attribute weights. In addition, a MCGDM method is developed
based on entropy and tangent similarity measure of T2SVNSs. Finally, an illustrative
example and comparative analysis are given to confirm the rationality and feasibility of
the proposed method.

关键词: Type-2 single valued neutrosophic set, Entropy, Tangent function, Similarity
measure, MCGDM

Abstract: The objective of this paper is to present a new approach for solving the multicriteria group decision-making (MCGDM) problems in type-2 single valued neutrosophic
set (T2SVNS) environment. Firstly, we give the concepts SVNS, T2SVNS and tangent
similarity measure with T2SVN information. Secondly, we define a new entropy function
for determining unknown attribute weights. In addition, a MCGDM method is developed
based on entropy and tangent similarity measure of T2SVNSs. Finally, an illustrative
example and comparative analysis are given to confirm the rationality and feasibility of
the proposed method.

Key words: Type-2 single valued neutrosophic set, Entropy, Tangent function, Similarity
measure, MCGDM

中图分类号:

O212.1

耿娟娟, 叶万红, 张菊, 徐东胜. T2SVNSs 的熵和相似性度量及其应用[J]. 数学季刊, 2021, 36(2): 160-175.

GENG Juan-juan , YE Wan-hong , ZHANG Ju , Xu Dong-sheng. Entropy and Similarity Measure for T2SVNSs and Its Application[J]. Chinese Quarterly Journal of Mathematics, 2021, 36(2): 160-175.

[1]	侯亚林, 罗党. 不完备信息下的灰色粗糙集成决策模型[J]. 数学季刊, 2009, 24(1): 151-158.
[2]	卿铭, 曹悦, 黄天民. 模糊熵：公理化定义和神经网络模型[J]. 数学季刊, 2004, 19(3): 319-322.

T2SVNSs 的熵和相似性度量及其应用

Entropy and Similarity Measure for T2SVNSs and Its Application

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