FUZZY EQUATIONAL CLASSES ARE FUZZY VARIETIES

Authors

  • Andreja Tepavcevic Department of Mathematics and Informatics, University of Novi Sad, Novi Sad, Serbia
  • Branimir Seselja Department of Mathematics and Informatics, University of Novi Sad, Novi Sad, Serbia
  • Vjekoslav Budimirovic College for professional studies for teachers,Sabac, Mega- trend University, Beograd, Serbia
Abstract:

In the framework of fuzzy algebras with fuzzy equalities and acomplete lattice as a structure of membership values, we investigate fuzzyequational classes. They consist of special fuzzy algebras fullling the samefuzzy identities, dened with respect to fuzzy equalities. We introduce basicnotions and the corresponding operators of universal algebra: construction offuzzy subalgebras, homomorphisms and direct products. We prove that everyfuzzy equational class is closed under these three operators, which means thatsuch a class is a fuzzy variety.

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Journal title

volume 10  issue 4

pages  1- 18

publication date 2013-08-30

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