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
  • [1] Fuzzy modifiers based on fuzzy relations
    De Cock, M
    Kerre, EE
    INFORMATION SCIENCES, 2004, 160 (1-4) : 173 - 199
  • [2] Similarity of fuzzy relations based on fuzzy topologies induced by fuzzy rough approximation operators
    Li, Zhaowen
    Cui, Rongchen
    INFORMATION SCIENCES, 2015, 305 : 219 - 233
  • [3] Some Fuzzy Topologies Induced by Rough Fuzzy Sets
    Wu, Wei-Zhi
    Yang, Yu-Fang
    Xu, You-Hong
    ROUGH SETS AND KNOWLEDGE TECHNOLOGY, 2011, 6954 : 156 - 165
  • [4] Maximization based topologies and their relation with Γ-convergence of intuitionistic fuzzy sets
    Bashir, Zia
    Rashid, Tabasam
    Zafar, Sohail
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2018, 34 (01) : 537 - 545
  • [5] Modeling fuzzy modifiers by means of a proximity relation
    Bosc, P.
    HadjAli, A.
    Pivert, O.
    NAFIPS 2006 - 2006 ANNUAL MEETING OF THE NORTH AMERICAN FUZZY INFORMATION PROCESSING SOCIETY, VOLS 1 AND 2, 2006, : 200 - +
  • [6] Intuitionistic Fuzzy Approximation Spaces Induced by Intuitionistic Fuzzy Topologies
    Yun, Sang Min
    Lee, Seok Jong
    2016 JOINT 8TH INTERNATIONAL CONFERENCE ON SOFT COMPUTING AND INTELLIGENT SYSTEMS (SCIS) AND 17TH INTERNATIONAL SYMPOSIUM ON ADVANCED INTELLIGENT SYSTEMS (ISIS), 2016, : 774 - 777
  • [7] Intuitionistic Fuzzy Topologies Induced by Intuitionistic Fuzzy Approximation Spaces
    Sang Min Yun
    Seok Jong Lee
    International Journal of Fuzzy Systems, 2017, 19 : 285 - 291
  • [8] Intuitionistic Fuzzy Topologies Induced by Intuitionistic Fuzzy Approximation Spaces
    Yun, Sang Min
    Lee, Seok Jong
    INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2017, 19 (02) : 285 - 291
  • [9] On Metrization of the Topologies Induced by Fuzzy Metrics
    Wu, Jianrong
    Yang, Hao
    JOURNAL OF MATHEMATICS, 2020, 2020
  • [10] SEMI-INDUCED FUZZY TOPOLOGIES
    MASHHOUR, AS
    GHANIM, MH
    ELWAKEIL, AN
    MORSI, NN
    FUZZY SETS AND SYSTEMS, 1989, 31 (03) : 351 - 368
12345