Memorias de investigación
Research Publications in journals:
Computing a T-transitive lower approximation or opening of a proximity relation
Year:2008

Research Areas
  • Mathematics

Information
Abstract
ISSN: 0165-0114/02. Fuzzy Sets and Systems. IMPACT FACTOR: 1,181. Since transitivity is quite often violated even by decision makers that accept transitivity in their preferences as a condition for consistency, a standard approach to deal with intransitive preference elicitations is the search for a close enough transitive preference relation, assuming that such a violation is mainly due to decision maker estimation errors. In some way, the more number of elicitations, the more probable inconsistency is. This is mostly the case within a fuzzy framework, even when the number of alternatives or object to be classified is relatively small. In this paper we propose a fast method to compute a T-indistinguishability from a reflexive and symmetric fuzzy relation, being T any left-continuous t-norm. The computed approximation we propose will take O(n3) time complexity, where n is the number of elements under consideration, and is expected to produce a T-transitive opening. To the authors¿ knowledge, there are no other proposed algorithm that computes T-transitive lower approximations or openings while preserving the reflexivity and symmetry properties.
International
Si
JCR
No
Title
FUZZY SETS AND SYSTEMS
ISBN
0165-0114
Impact factor JCR
0
Impact info
Volume
160
http://dx.doi.org/10.1016/j.fss.2009.01.015
Journal number
14
From page
2097
To page
2105
Month
JULIO
Ranking
Participants
  • Participante: LUIS GARMENDIA UCM
  • Autor: Adela Salvador Alcaide UPM
  • Participante: JAVIER MONTERO UCM

Research Group, Departaments and Institutes related
  • Creador: Departamento: Matemática e Informática Aplicadas a la Ingeniería Civil