Variable-Range Approximate Systems Induced by Many-Valued L-Relations

  • Aleksandrs Eļkins
  • Sang-Eon Han
  • Alexander Šostak
Part of the Communications in Computer and Information Science book series (CCIS, volume 444)


The concept of a many-valued L-relation is introduced and studied. Many-valued L-relations are used to induce variable-range quasi-approximate systems defined on the lines of the paper (A. Šostak, Towards the theory of approximate systems: variable-range categories. Proceedings of ICTA2011, Cambridge Univ. Publ. (2012) 265–284.) Such variable-range (quasi-)approximate systems can be realized as special families of L-fuzzy rough sets indexed by elements of a complete lattice.


Variable-range (quasi-)approximate system many-valued L-relation L-fuzzy rough set 


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© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Aleksandrs Eļkins
    • 1
  • Sang-Eon Han
    • 3
  • Alexander Šostak
    • 1
    • 2
  1. 1.Department of MathematicsUniversity of LatviaRigaLatvia
  2. 2.Institute of Mathematics and CSUniversity of LatiaRigaLatvia
  3. 3.Faculty of Liberal Education, Institute of Pure and Applied MathematicsChonbuk National UniversityJeonju-CityRepublic of Korea

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