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Generation and Characterization of Fuzzy T-preorders

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10.1080/08839514.2015.1026663
 
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hdl:2117/28527

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Boixader Ibáñez, DionísMés informacióMés informacióMés informació
Recasens Ferrés, JorgeMés informacióMés informacióMés informació
Document typeArticle
Defense date2015-05-28
Rights accessOpen Access
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder
Abstract
This article studies T-preorders that can be generated in a natural way by a single fuzzy subset. These T-preorders are called one-dimensional and are of great importance, because every T-preorder can be generated by combining one-dimensional T-preorders.; In this article, the relation between fuzzy subsets generating the same T-preorder is given, and one-dimensional T-preorders are characterized in two different ways: They generate linear crisp orderings on X and they satisfy a Sincov-like functional equation. This last characterization is used to approximate a given T-preorder by a one-dimensional one by relating the issue to Saaty matrices used in the Analytical Hierarchical Process. Finally, strong complete T-preorders, important in decision-making problems, are also characterized.
CitationBoixader, D.; Recasens, J. Generation and Characterization of Fuzzy T-preorders. "Applied artificial intelligence", 28 Maig 2015, vol. 29, núm. 5, p. 514-530. 
URIhttp://hdl.handle.net/2117/28527
DOI10.1080/08839514.2015.1026663
ISSN0883-9514
Publisher versionhttp://www.tandfonline.com/doi/abs/10.1080/08839514.2015.1026663#.VZum_RvtlBc
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