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Approximate fuzzy preorders and equivalences

Author
Boixader, D.; Recasens, J.
Type of activity
Presentation of work at congresses
Name of edition
FUZZ-IEEE
Date of publication
2009
Presentation's date
2009-08-22
Book of congress proceedings
Proceedings of the FUZZ-IEEE2009 International Conference on Fuzzy Systems
Repository
http://hdl.handle.net/2117/22889 Open in new window
Abstract
Although Fuzzy Preorders and Fuzzy Equivalences are well established types of fuzzy relations, they are defined in terms of properties to be fulfilled in a crisp way. In this paper we relax those requirements by making them gradual in some way. As a result, a number of relations which are not strictly reflexive, symmetric or transitive with respect to any t-norm T, would be regarded as (Approximate) Fuzzy Preorders or Equivalences.
Citation
Boixader, D.; Recasens, J. Approximate fuzzy preorders and equivalences. A: IEEE International Conference on Fuzzy Systems. "Proceedings of the FUZZ-IEEE2009 International Conference on Fuzzy Systems". Jeju Island: 2009.
Group of research
FM&AI - Functional Mathematical Modelling and Applications

Participants