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
  • [21] Multi-criteria outranking approach with hesitant fuzzy sets
    Wang, Jian Qiang
    Wang, Dan Dan
    Zhang, Hong Yu
    Chen, Xiao Hong
    OR SPECTRUM, 2014, 36 (04) : 1001 - 1019
  • [22] Convex hesitant fuzzy sets
    Rashid, Tabasam
    Beg, Ismat
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2016, 30 (05) : 2791 - 2796
  • [23] New Operations over Hesitant Fuzzy Sets
    Verma, Rajkumar
    Sharma, Bhu Dev
    FUZZY INFORMATION AND ENGINEERING, 2013, 5 (02) : 129 - 146
  • [24] Some studies on properties of hesitant fuzzy sets
    Xia, Meimei
    Xu, Zeshui
    INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2017, 8 (02) : 489 - 495
  • [25] Note on distance measure of hesitant fuzzy sets
    Li, Deqing
    Zeng, Wenyi
    Zhao, Yibin
    INFORMATION SCIENCES, 2015, 321 : 103 - 115
  • [26] Ideal solutions for hesitant fuzzy soft sets
    Beg, Ismat
    Rashid, Tabasam
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2016, 30 (01) : 143 - 150
  • [27] Generalized hesitant fuzzy rough sets (GHFRS) and their application in risk analysis
    Shaheen, Tanzeela
    Ali, Muhammad Irfan
    Shabir, Muhammad
    SOFT COMPUTING, 2020, 24 (18) : 14005 - 14017
  • [28] Hesitant interval-valued fuzzy sets: some new results
    Verma, Rajkumar
    INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2017, 8 (03) : 865 - 876
  • [29] Distance Measure and Correlation Coefficient for Linguistic Hesitant Fuzzy Sets and Their Application
    Guan, Jian
    Zhou, Dao
    Meng, Fanyong
    INFORMATICA, 2017, 28 (02) : 237 - 268
  • [30] Correlation Coefficients of Hesitant Fuzzy Sets and Their Application Based on Fuzzy Measures
    Meng, Fanyong
    Chen, Xiaohong
    COGNITIVE COMPUTATION, 2015, 7 (04) : 445 - 463
12345