Advanced search
1 file | 223.67 KB

Fuzzy strict preference relations compatible with fuzzy orderings

Author
Organization
Abstract
One of the most important issues in the field of fuzzy preference modelling is the construction of a fuzzy strict preference relation and a fuzzy indifference relation from a fuzzy weak preference relation. Here, we focus on a particular class of fuzzy weak preference relations, the so-called fuzzy orderings. The definition of a fuzzy ordering involves a fuzzy equivalence relation and, in this paper, the latter will be considered as the corresponding fuzzy indifference relation. We search for fuzzy strict preference relations compatible with a given fuzzy ordering and its fuzzy indifference relation. In many situations, depending on the t-norm and t-conorm used, this quest results in a unique fuzzy strict preference relation. Our aim is to characterize these fuzzy strict preference relations and to study their transitivity.
Keywords
fuzzy strict preference relation, transitivity, Fuzzy ordering, LUKASIEWICZ TRIPLETS, PRE-ORDERS, DEFINITION, DECOMPOSITION, TRANSITIVITY, SIMILARITY, PLEA

Downloads

    • full text
    • |
    • UGent only
    • |
    • PDF
    • |
    • 223.67 KB

Citation

Please use this url to cite or link to this publication:

Chicago
Llamazares, Bonifacio, and Bernard De Baets. 2010. “Fuzzy Strict Preference Relations Compatible with Fuzzy Orderings.” International Journal of Uncertainty Fuzziness and Knowledge-based Systems 18 (1): 13–24.
APA
Llamazares, B., & De Baets, B. (2010). Fuzzy strict preference relations compatible with fuzzy orderings. INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 18(1), 13–24.
Vancouver
1.
Llamazares B, De Baets B. Fuzzy strict preference relations compatible with fuzzy orderings. INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS. 2010;18(1):13–24.
MLA
Llamazares, Bonifacio, and Bernard De Baets. “Fuzzy Strict Preference Relations Compatible with Fuzzy Orderings.” INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS 18.1 (2010): 13–24. Print.
@article{1085550,
  abstract     = {One of the most important issues in the field of fuzzy preference modelling is the construction of a fuzzy strict preference relation and a fuzzy indifference relation from a fuzzy weak preference relation. Here, we focus on a particular class of fuzzy weak preference relations, the so-called fuzzy orderings. The definition of a fuzzy ordering involves a fuzzy equivalence relation and, in this paper, the latter will be considered as the corresponding fuzzy indifference relation. We search for fuzzy strict preference relations compatible with a given fuzzy ordering and its fuzzy indifference relation. In many situations, depending on the t-norm and t-conorm used, this quest results in a unique fuzzy strict preference relation. Our aim is to characterize these fuzzy strict preference relations and to study their transitivity.},
  author       = {Llamazares, Bonifacio and De Baets, Bernard},
  issn         = {0218-4885},
  journal      = {INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS},
  keyword      = {fuzzy strict preference relation,transitivity,Fuzzy ordering,LUKASIEWICZ TRIPLETS,PRE-ORDERS,DEFINITION,DECOMPOSITION,TRANSITIVITY,SIMILARITY,PLEA},
  language     = {eng},
  number       = {1},
  pages        = {13--24},
  title        = {Fuzzy strict preference relations compatible with fuzzy orderings},
  url          = {http://dx.doi.org/10.1142/S0218488510006350},
  volume       = {18},
  year         = {2010},
}

Altmetric
View in Altmetric
Web of Science
Times cited: