Towards relational fuzzy adjunctions

被引:0
|
作者
Cabrera, Inma P. [1 ]
Cordero, Pablo [1 ]
Ojeda-Aciego, Manuel [1 ]
机构
[1] Univ Malaga, Dept Matemat Aplicada, Andalucia Tech, Malaga, Spain
来源
2017 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE) | 2017年
关键词
GALOIS CONNECTIONS;
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
The problem of studying the existence of a right adjoint for a mapping defined between sets with different fuzzy structure naturally leads to the search of new notions of adjunction which fit better with the underlying structure of domain and codomain. In this work, we introduce a version of relational fuzzy adjunction between fuzzy preposets which generalizes previous approaches in that its components are fuzzy relations. We also prove that the construction behaves properly with respect to the formation of quotient with respect to the symmetric kernel relation.
引用
收藏
页数:5
相关论文
共 50 条
  • [1] Relational Algebra by Way of Adjunctions
    Gibbons, Jeremy
    Henglein, Fritz
    Hinze, Ralf
    Wu, Nicolas
    PROCEEDINGS OF THE ACM ON PROGRAMMING LANGUAGES-PACMPL, 2018, 2
  • [2] Relational Algebra by Way of Adjunctions
    Gibbons, Jeremy
    Henglein, Fritz
    Hinze, Ralf
    Wu, Nicolas
    PROCEEDINGS OF THE ACM ON PROGRAMMING LANGUAGES, 2018,
  • [3] Fuzzy adjunctions in mathematical morphology
    Nachtegael, M
    Heijmans, H
    Van der Weken, D
    Kerre, EE
    PROCEEDINGS OF THE 7TH JOINT CONFERENCE ON INFORMATION SCIENCES, 2003, : 202 - 205
  • [4] On fuzzy relations, adjunctions, and functional fuzzy relations
    Cabrera, Inma P.
    Cordero, Pablo
    Ojeda-Aciego, Manuel
    PROCEEDINGS OF 2016 IEEE SYMPOSIUM SERIES ON COMPUTATIONAL INTELLIGENCE (SSCI), 2016,
  • [5] Fuzzy adjunctions and fuzzy morphological operations based on fuzzy implications
    Shi, Y.
    Kerre, E. E.
    COMPUTATIONAL INTELLIGENCE IN DECISION AND CONTROL, 2008, 1 : 561 - 566
  • [6] Towards the Formalization of Fuzzy Relational Database Queries
    Perovkic, Aleksandar
    Takaci, Aleksandar
    Skrbic, Srdjan
    ACTA POLYTECHNICA HUNGARICA, 2009, 6 (01) : 185 - 193
  • [7] Fuzzy Adjunctions and Fuzzy Morphological Operations Based on Implications
    Shi, Y.
    Nachtegael, M.
    Ruan, D.
    Kerre, E. E.
    INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2009, 24 (12) : 1280 - 1296
  • [9] TOWARDS THE IMPLEMENTATION OF A GENERALIZED FUZZY RELATIONAL DATABASE MODEL
    MEDINA, JM
    VILA, MA
    CUBERO, JC
    PONS, O
    FUZZY SETS AND SYSTEMS, 1995, 75 (03) : 273 - 289
  • [10] Towards the Methodology for Development of Fuzzy Relational Database Applications
    Skrbic, Srdan
    Rackovic, Milos
    Takaci, Aleksandar
    COMPUTER SCIENCE AND INFORMATION SYSTEMS, 2011, 8 (01) : 27 - 40