Construction of Fuzzy Relation by Closure Systems

Authors:
Vladimír Janiš;Magdalena Renčova;Branimir Šešelja;Andreja Tepavčević
Affiliations:
Department of Mathematics, Faculty of Natural Sciences, Matej Bel University, Banská Bystrica, Slovak Republic SK-974 01;Department of Mathematics, Faculty of Natural Sciences, Matej Bel University, Banská Bystrica, Slovak Republic SK-974 01;Department of Mathematics and Informatics, University of Novi Sad, Serbia;Department of Mathematics and Informatics, University of Novi Sad, Serbia
Venue:
PReMI '09 Proceedings of the 3rd International Conference on Pattern Recognition and Machine Intelligence
Year:
2009

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Abstract

Starting with a collection of closure systems each of which is associated to an element of a given set X, we construct a lattice L and an L-fuzzy relation on X, such that its fuzzy blocks are precisely the given closure systems.