Fuzzy topologies induced by fuzzy relation based modifiers

被引：0
|
作者：
De Cock, Martine [1 ]
Kerre, E. E. [1 ]
机构：
[1] Univ Ghent, Dept Appl Math & Comp Sci, Fuzziness & Uncertainty Modelling Res Unit, B-9000 Ghent, Belgium
来源：
COMPUTATIONAL INTELLIGENCE: THEORY AND APPLICATIONS, PROCEEDINGS | 2001年 / 2206卷
关键词：
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 highlight the specific meaning of images of fuzzy sets under fuzzy relations in the context of fuzzy topology. More precisely we show that fuzzy modifiers taking direct and superdirect images of fuzzy sets under fuzzy pre-orderings are respectively closure and interior operators, inducing fuzzy topologies. Furthermore we investigate under which conditions the same applies to the recently introduced general closure and opening operators based on arbitrary fuzzy relations.
引用
收藏
页码：239 / 248
页数：10
相关论文
共 50 条
  • [21] Fuzzy Chu spaces and fuzzy topologies
    Srivastava, AK
    Tiwari, SP
    INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2004, 12 (02) : 245 - 253
  • [22] Fuzzy rough sets, fuzzy preorders and fuzzy topologies
    Tiwari, S. P.
    Srivastava, Arun K.
    FUZZY SETS AND SYSTEMS, 2013, 210 : 63 - 68
  • [23] On intuitionistic fuzzy topologies based on intuitionistic fuzzy reflexive and transitive relations
    Wu, Wei-Zhi
    Zhou, Lei
    SOFT COMPUTING, 2011, 15 (06) : 1183 - 1194
  • [24] On intuitionistic fuzzy topologies based on intuitionistic fuzzy reflexive and transitive relations
    Wei-Zhi Wu
    Lei Zhou
    Soft Computing, 2011, 15 : 1183 - 1194
  • [25] A UNIFIED THEORY OF FUZZY TOPOLOGIES FUZZY PROXIMITIES AND FUZZY UNIFORMITIES
    KATSARAS, AK
    PETALAS, CG
    REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES, 1983, 28 (09): : 845 - 856
  • [26] Fuzzy Ideals and Fuzzy Filters on Topologies Generated by Fuzzy Relations
    Saadaoui, Kheir
    Milles, Soheyb
    Zedam, Lemnaouar
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2022, 20
  • [27] Intuitionistic fuzzy automata and associated fuzzy topologies
    Srivastava, Arun K.
    Tiwari, S. P.
    ICCTA 2007: INTERNATIONAL CONFERENCE ON COMPUTING: THEORY AND APPLICATIONS, PROCEEDINGS, 2007, : 267 - +
  • [28] SOME (FUZZY) TOPOLOGIES ON GENERAL FUZZY AUTOMATA
    Horry, M.
    Zahedi, M. M.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2013, 10 (06): : 73 - 89
  • [29] FUZZY SEMIREGULARIZATION TOPOLOGIES AND FUZZY SUBMAXIMAL SPACES
    MUKHERJEE, MN
    GHOSH, B
    FUZZY SETS AND SYSTEMS, 1991, 44 (02) : 283 - 294
  • [30] On extended fuzzy topologies
    Gähler, W
    Abd-Allah, AS
    Kandil, A
    FUZZY SETS AND SYSTEMS, 2000, 109 (02) : 149 - 172
12345