Bisimulations in fuzzy social network analysis

被引：0
|
作者：
Ignjatovic, Jelena [1 ]
Ciric, Miroslav [1 ]
Stankovic, Ivan [1 ]
机构：
[1] Univ Nis, Fac Sci & Math, Nish 18000, Serbia
来源：
PROCEEDINGS OF THE 2015 CONFERENCE OF THE INTERNATIONAL FUZZY SYSTEMS ASSOCIATION AND THE EUROPEAN SOCIETY FOR FUZZY LOGIC AND TECHNOLOGY | 2015年 / 89卷
关键词：
Fuzzy social network; regular bisimulation; regular fuzzy equivalence; uniform fuzzy relation; fuzzy relation equation; residual of fuzzy relations; REGULAR EQUIVALENCE; AUTOMATA;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper we introduce two types of simulations and five types of bisimulations for fuzzy social networks, and we study one of them - regular bisimulations. We prove that if there exists at least one regular bisimulation between two fuzzy networks, then there exists the greatest bisimulation of this type, and we provide a procedure for testing the existence of a regular bisimulation between two fuzzy networks, and computing the greatest one, whenever it exists. We also establish a natural relationship between regular bisimulations and regular fuzzy equivalences.
引用
收藏
页码：404 / 411
页数：8
相关论文
共 50 条
  • [1] Bisimulations for fuzzy automata
    Ciric, Miroslav
    Ignjatovic, Jelena
    Damljanovic, Nada
    Basic, Milan
    [J]. FUZZY SETS AND SYSTEMS, 2012, 186 (01) : 100 - 139
  • [2] A fuzzy approach to social network analysis
    Brunelli, Matteo
    Fedrizzi, Michele
    [J]. 2009 INTERNATIONAL CONFERENCE ON ADVANCES IN SOCIAL NETWORKS ANALYSIS AND MINING, 2009, : 225 - +
  • [3] Weak bisimulations for fuzzy automata
    Jancic, Ivana
    [J]. FUZZY SETS AND SYSTEMS, 2014, 249 : 49 - 72
  • [4] Fuzzy simulations and bisimulations between fuzzy automata
    Nguyen, Linh Anh
    [J]. INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2023, 155 : 113 - 131
  • [5] Fuzzy Bisimulations for Nondeterministic Fuzzy Transition Systems
    Qiao, Sha
    Zhu, Ping
    Feng, Jun-e
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2023, 31 (07) : 2450 - 2463
  • [6] Computing crisp bisimulations for fuzzy structures
    Nguyen, Linh Anh
    Tran, Dat Xuan
    [J]. International Journal of Approximate Reasoning, 1600, 166
  • [7] Bisimulations for fuzzy transition systems revisited
    Wu, Hengyang
    Chen, Taolue
    Han, Tingting
    Chen, Yixiang
    [J]. INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2018, 99 : 1 - 11
  • [8] Labeled fuzzy approximations based on bisimulations
    Du, Yibin
    Zhu, Ping
    [J]. INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2018, 94 : 43 - 59
  • [9] Labeled fuzzy approximations based on bisimulations
    [J]. Du, Yibin (duyibindu@163.com), 1600, Elsevier Inc. (94):
  • [10] Modal Characterisations of Probabilistic and Fuzzy Bisimulations
    Deng, Yuxin
    Wu, Hengyang
    [J]. FORMAL METHODS AND SOFTWARE ENGINEERING, ICFEM 2014, 2014, 8829 : 123 - 138
12345