Numerical representability of fuzzy total preorders

We introduce the concept of a fuzzy total preorder. Then we analyze its numerical representability through a real-valued order-preserving function defined for each -cut.

Bibliographic Details
Main Authors: L. Agud, R. G. Catalán, S. Díaz, E. Induráin, S. Montes
Format: Article
Language:English
Published: Springer 2012-11-01
Series:International Journal of Computational Intelligence Systems
Subjects:
Online Access:https://www.atlantis-press.com/article/25868032.pdf
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author L. Agud
R. G. Catalán
S. Díaz
E. Induráin
S. Montes
author_facet L. Agud
R. G. Catalán
S. Díaz
E. Induráin
S. Montes
author_sort L. Agud
collection DOAJ
description We introduce the concept of a fuzzy total preorder. Then we analyze its numerical representability through a real-valued order-preserving function defined for each -cut.
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spelling doaj.art-fd8080e9eac047cfb58a41f87a89082a2022-12-22T00:25:56ZengSpringerInternational Journal of Computational Intelligence Systems1875-68832012-11-015610.1080/18756891.2012.747653Numerical representability of fuzzy total preordersL. AgudR. G. CatalánS. DíazE. InduráinS. MontesWe introduce the concept of a fuzzy total preorder. Then we analyze its numerical representability through a real-valued order-preserving function defined for each -cut.https://www.atlantis-press.com/article/25868032.pdfCrisp and fuzzy binary relationsnumerical representability-cuts
spellingShingle L. Agud
R. G. Catalán
S. Díaz
E. Induráin
S. Montes
Numerical representability of fuzzy total preorders
International Journal of Computational Intelligence Systems
Crisp and fuzzy binary relations
numerical representability
-cuts
title Numerical representability of fuzzy total preorders
title_full Numerical representability of fuzzy total preorders
title_fullStr Numerical representability of fuzzy total preorders
title_full_unstemmed Numerical representability of fuzzy total preorders
title_short Numerical representability of fuzzy total preorders
title_sort numerical representability of fuzzy total preorders
topic Crisp and fuzzy binary relations
numerical representability
-cuts
url https://www.atlantis-press.com/article/25868032.pdf
work_keys_str_mv AT lagud numericalrepresentabilityoffuzzytotalpreorders
AT rgcatalan numericalrepresentabilityoffuzzytotalpreorders
AT sdiaz numericalrepresentabilityoffuzzytotalpreorders
AT eindurain numericalrepresentabilityoffuzzytotalpreorders
AT smontes numericalrepresentabilityoffuzzytotalpreorders