New Entropy-Based Similarity Measure between Interval-Valued Intuitionstic Fuzzy Sets

被引：1
作者：
Mohamed, Saida S. [1 ]
Abdalla, Areeg [1 ]
John, Robert, I [2 ,3 ]
机构：
[1] Cairo Univ, Fac Sci, Math Dept, Cairo 12613, Egypt
[2] Univ Nottingham, Sch Comp Sci, Automated Scheduling & Planning Asap, Nottingham NG8 1BB, England
[3] Univ Nottingham, Sch Comp Sci, Lab Uncertainty Data & Decis Making LUCID, Nottingham NG8 1BB, England
来源：
AXIOMS | 2019年 / 8卷 / 02期
关键词：
intuitionistic fuzzy sets; interval-valued inuitionstic fuzzy sets; entropy measure; similarity measure; DISTANCE; INFORMATION;
D O I：
10.3390/axioms8020073
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a new approach to constructing similarity measures using the entropy measure for Interval-Valued Intuitionistic Fuzzy Sets. In addition, we provide several illustrative examples to demonstrate the practicality and effectiveness of the proposed formula. Finally, we use the new proposed similarity measure to develop a new approach for solving problems of pattern recognition and multi-criteria fuzzy decision-making.
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页数：11
相关论文
共 30 条
  • [1] Ahmad Y., 2013, IOSR J ENG, V3, P34, DOI [10.9790/3021-03443442, DOI 10.9790/3021-03443442]
  • [2] Arefi M, 2014, IRAN J FUZZY SYST, V11, P67
  • [3] INTERVAL VALUED INTUITIONISTIC FUZZY-SETS
    ATANASSOV, K
    GARGOV, G
    [J]. FUZZY SETS AND SYSTEMS, 1989, 31 (03) : 343 - 349
  • [4] INTUITIONISTIC FUZZY-SETS
    ATANASSOV, KT
    [J]. FUZZY SETS AND SYSTEMS, 1986, 20 (01) : 87 - 96
  • [5] Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets
    Burillo, P
    Bustince, H
    [J]. FUZZY SETS AND SYSTEMS, 1996, 78 (03) : 305 - 316
  • [6] Granulating linguistic information in decision making under consensus and consistency
    Cabrerizo, Francisco Javier
    Antonio Morente-Molinera, Juan
    Pedrycz, Witold
    Taghavi, Atefe
    Herrera-Viedma, Enrique
    [J]. EXPERT SYSTEMS WITH APPLICATIONS, 2018, 99 : 83 - 92
  • [7] De Luca A., 1993, Readings in Fuzzy Sets for Intelligent Systems, P197
  • [8] Fei L, 2018, IRAN J FUZZY SYST, DOI [10.22111/ijfs.2018.4302, DOI 10.22111/IJFS.2018.4302]
  • [9] An advanced study on the similarity measures of intuitionistic fuzzy sets based on the set pair analysis theory and their application in decision making
    Garg, Harish
    Kumar, Kamal
    [J]. SOFT COMPUTING, 2018, 22 (15) : 4959 - 4970
  • [10] An interval-valued Pythagorean prioritized operator-based game theoretical framework with its applications in multicriteria group decision making
    Han, Yuzhen
    Deng, Yong
    Cao, Zehong
    Lin, Chin-Teng
    [J]. NEURAL COMPUTING & APPLICATIONS, 2020, 32 (12) : 7641 - 7659
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