TSALLIS ENTROPY OF UNCERTAIN SETS AND ITS APPLICATION TO PORTFOLIO ALLOCATION

被引:0
作者
Zhao, Hua [1 ]
Ahmadzade, Hamed [2 ]
Ghasemigol, Mohammad [3 ]
机构
[1] Chongqing Univ, Sch Econ & Business Adm, Chongqing 400067, Peoples R China
[2] Univ Sistan & Baluchestan, Dept Stat, Zahedan, Iran
[3] Old Dominion Univ, Sch Cybersecur, Norfolk, VA USA
关键词
Uncertain set; Tsallis entropy; portfolio optimization; Monte-Carlo; approach; mean-entropy model; TRIANGULAR ENTROPY; RANDOM-VARIABLES; SELECTION;
D O I
10.3934/jimo.2024032
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Tsallis entropy is a flexible device to measure indeterminacy of uncertain sets. A formula is obtained to calculate Tsallis entropy of uncertain sets via inversion of membership functions. Also, by considering Tsallis entropy as a risk measure, we optimize portfolio selection problems via mean -entropy models.
引用
收藏
页码:2885 / 2905
页数:21
相关论文
共 50 条
  • [21] On the Estimation of Tsallis Entropy and a Novel Information Measure Based on Its Properties
    Marti, Aniol
    de Cabrera, Ferran
    Riba, Jaume
    [J]. IEEE SIGNAL PROCESSING LETTERS, 2023, 30 : 818 - 822
  • [22] Size relation of uncertain sets with application to clustering
    Yang, Xiangfeng
    Ni, Yaodong
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2020, 38 (04) : 4119 - 4125
  • [23] Distance measure of uncertain sets and its applications
    Wang, Xiao
    Ning, Yufu
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2018, 34 (03) : 1933 - 1945
  • [24] Sine entropy of uncertain set and its applications
    Yao, Kai
    [J]. APPLIED SOFT COMPUTING, 2014, 22 : 432 - 442
  • [25] Kernel Estimation of Tsallis Entropy and its Generalization for Length-biased Data
    Zamini, Raheleh
    Ajami, Masoud
    Parvizi, Sepide
    [J]. JIRSS-JOURNAL OF THE IRANIAN STATISTICAL SOCIETY, 2024, 23 (01): : 131 - 152
  • [26] A new mean-variance-entropy model for uncertain portfolio optimization with liquidity and diversification
    Li, Bo
    Zhang, Ranran
    [J]. CHAOS SOLITONS & FRACTALS, 2021, 146
  • [27] Maximum Entropy Bi-Objective Model and its Evolutionary Algorithm for Portfolio Optimization
    Liu, Chun-An
    Lei, Qian
    Jia, Huamin
    [J]. ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH, 2022, 39 (06)
  • [28] Intertemporal portfolio allocation and hedging demand: an application to South Africa
    Van Wyk De Vries, Esti
    Gupta, Rangan
    Van Eyden, Renee
    [J]. JOURNAL OF BUSINESS ECONOMICS AND MANAGEMENT, 2014, 15 (04) : 744 - 775
  • [29] Microcalcification Segmentation Using Normalized Tsallis Entropy: An Automatic "q" Calculation by Exploiting Type II Fuzzy Sets
    Mohanalin, J.
    Kalra, Prem Kumar
    Kumar, Nirmal
    [J]. IETE JOURNAL OF RESEARCH, 2009, 55 (02) : 90 - 96
  • [30] On cumulative residual Tsallis entropy and its dynamic version of concomitants of generalized order statistics
    Mohamed, Mohamed Said
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2022, 51 (08) : 2534 - 2551