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International Journal of Computational Intelligence Systems Volume 5, 2012 - Issue 6
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Original Articles

Numerical representability of fuzzy total preorders

L. Agud Department of Applied Mathematics, Polytechnic University of Valencia, Higher Polytechnic School of Alcoy, Alcoy, Alicante 03801, Spain
,
R. G. Catalán Department of Mathematics, Public University of Navarre, Pamplona, Navarra 31006, Spain
,
S. Díaz Department of Statistics and Operations Research, University of Oviedo, Oviedo, Asturias 33071, Spain
,
E. Induráin Department of Mathematics, Public University of Navarre, Pamplona, Navarra 31006, SpainCorrespondence[email protected]
&
S. Montes Department of Statistics and Operations Research, University of Oviedo, Oviedo, Asturias 33071, Spain
Pages 996-1009 | Received 20 Mar 2012, Accepted 31 Jul 2012, Published online: 12 Nov 2012
 
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Abstract

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 α-cut.

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