Convexity of hesitant fuzzy sets

被引：2
|
作者：
Janis, Vladimir [1 ]
Montes, Susana [2 ]
Rencova, Magdalena [1 ]
机构：
[1] Matej Bel Univ, Fac Nat Sci, Dept Math, Banska Bystrica, Slovakia
[2] Univ Oviedo, Dept Stat & Operat Res, Oviedo, Spain
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2018年 / 34卷 / 04期
关键词：
Fuzzy sets; hesitant fuzzy sets; convexity; rough sets; GROUP DECISION-MAKING; AGGREGATION OPERATORS; INFORMATION;
D O I：
10.3233/JIFS-162204
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
We show that a definition of convexity based on the convexity of the score function does not guarantee preservation of convexity under intersections and provide a concept of convexity for hesitant fuzzy sets without this backdraw. We study the relationship between convex hesitant fuzzy sets and convex rough sets as their cuts.
引用
收藏
页码：2099 / 2102
页数：4
相关论文
共 50 条
  • [11] Normal wiggly hesitant fuzzy sets and their application to environmental quality evaluation
    Ren, Zhiliang
    Xu, Zeshui
    Wang, Hai
    KNOWLEDGE-BASED SYSTEMS, 2018, 159 : 286 - 297
  • [12] Properties of interval-valued hesitant fuzzy sets
    Chen, Na
    Xu, Zeshui
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 27 (01) : 143 - 158
  • [13] Hesitant Fuzzy Linguistic Term Sets
    Rodriguez, Rosa M.
    Martinez, Luis
    Herrera, Francisco
    FOUNDATIONS OF INTELLIGENT SYSTEMS (ISKE 2011), 2011, 122 : 287 - +
  • [14] On novel hesitant fuzzy rough sets
    Haidong Zhang
    Lan Shu
    Lianglin Xiong
    Soft Computing, 2019, 23 : 11357 - 11371
  • [15] On novel hesitant fuzzy rough sets
    Zhang, Haidong
    Shu, Lan
    Xiong, Lianglin
    SOFT COMPUTING, 2019, 23 (22) : 11357 - 11371
  • [16] On Gradual Sets, Hesitant Fuzzy Sets, and Representation Theorems
    Jara, Pascual
    Merino, Luis
    Navarro, Gabriel
    Santos, Evangelina
    IEEE ACCESS, 2024, 12 : 111158 - 111168
  • [17] Entropy on Intuitionistic Fuzzy Sets and Hesitant Fuzzy Sets
    Yu, Bicheng
    Zhao, Xuejun
    Zheng, Mingfa
    Yuan, Xiujiu
    Hou, Bei
    JOURNAL OF MATHEMATICS, 2022, 2022
  • [18] Entropy for Hesitant Fuzzy Sets Based on Hausdorff Metric with Construction of Hesitant Fuzzy TOPSIS
    Zahid Hussain
    Miin-Shen Yang
    International Journal of Fuzzy Systems, 2018, 20 : 2517 - 2533
  • [19] A Note on Prototypes, Convexity and Fuzzy Sets
    Norman Foo
    Boon Toh Low
    Studia Logica, 2008, 90 (1) : 125 - 137
  • [20] Modeling Human Vagueness and Imprecision: From Fuzzy Sets to Hesitant Fuzzy Sets
    Farhadinia, B.
    Chiclana, F.
    NEW MATHEMATICS AND NATURAL COMPUTATION, 2023, 19 (03) : 715 - 736
12345