文献类型：期刊文献

英文题名：Entropy Measures of Probabilistic Linguistic Term Sets

作者：Liu, Hongbin[1];Jiang, Le[2];Xu, Zeshui[3]

第一作者：刘红彬

通讯作者：Xu, ZS[1]

机构：[1]Henan Univ Econ & Law, Sch Math & Informat Sci, Zhengzhou 450046, Henan, Peoples R China;[2]Zhengzhou Univ Light Ind, Sch Math & Informat Sci, Zhengzhou 450000, Henan, Peoples R China;[3]Sichuan Univ, Business Sch, Chengdu 610064, Sichuan, Peoples R China

第一机构：河南财经政法大学数学与信息科学学院

通讯机构：[1]corresponding author), Sichuan Univ, Business Sch, Chengdu 610064, Sichuan, Peoples R China.

年份：2018

卷号：11

期号：1

起止页码：45-57

外文期刊名：INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS

收录：;EI(收录号：20181705040223);Scopus(收录号：2-s2.0-85045624645);WOS:【SCI-EXPANDED(收录号:WOS:000430620000004)】；

基金：The authors are very grateful to the Editor and the anonymous reviewers for their constructive comments and suggestions that have helped to improve the quality of this paper. This work is supported by the National Natural Science Foundation of China (71571123); the Key Scientific Research Funds of Henan Provincial Department of Education (15A630011, 16A630038, 17A120006); the Doctoral Research Start-up Funding Project of Zhengzhou University of Light Industry and Henan University of Economics and Law (BSE2013053, 800234); the Pre-Research Funds on National Key Projects of Henan University of Economics and Law (852014).

语种：英文

外文关键词：Probabilistic linguistic term set; fuzzy entropy; hesitant entropy; total entropy

摘要：The probabilistic linguistic term sets (PLTSs) are powerful to deal with the hesitant linguistic situation in which each provided linguistic term has a probability. The PLTSs contain uncertainties caused by the linguistic terms and their probability information. In order to measure such uncertainties, three entropy measures are proposed: the fuzzy entropy, the hesitant entropy, and the total entropy. The fuzzy entropy measures the fuzziness of the PLTSs, and the hesitant entropy measures the hesitation of the PLTSs. To facilitate the computation of all uncertainties contained in the PLTSs, the total entropy is proposed. Some properties and some formulas of the entropy measures are introduced. A multi-criteria decision making model based on the PLTSs is introduced by using the proposed entropy measures. An illustrative example is provided and the comparison analysis with the existing method is given.