Representability of binary relations through fuzzy numbers

Authors:
María J. Campión;Juan C. Candeal;Esteban Induráin
Affiliations:
Departamento de Matemática e Informática, Universidad Pública de Navarra, Campus Arrosadía, E-31006 Pamplona, Spain;Departamento de Análisis Económico, Facultad de Ciencias Económicas y Empresariales, Universidad de Zaragoza. c/ Doctor Cerrada 1-3, E-50005 Zaragoza, Spain;Departamento de Matemática e Informática, Universidad Pública de Navarra, Campus Arrosadía, E-31006 Pamplona, Spain
Venue:
Fuzzy Sets and Systems
Year:
2006

Citing 7
Cited 2

Satisfiability problems on intervals and unit intervals

Ordal'94 Selected papers from the conference on Orders, algorithms and applications
Preference structures and their numerical representations

Theoretical Computer Science
Maintaining knowledge about temporal intervals

Communications of the ACM
The study of the interval-valued contexts

Fuzzy Sets and Systems
Interval analysis and fuzzy set theory

Fuzzy Sets and Systems - Special issue: Interfaces between fuzzy set theory and interval analysis
Topological interpretation of fuzzy sets and intervals

Fuzzy Sets and Systems - Special issue: Interfaces between fuzzy set theory and interval analysis
A characterization of PQI interval orders

Discrete Applied Mathematics - Special issue: The 1998 conference on ordinal and symbolic data analysis (OSDA '98)

Numerical representation of product transitive complete fuzzy orderings

Mathematical and Computer Modelling: An International Journal
Topological interpretations of fuzzy subsets. A unified approach for fuzzy thresholding algorithms

Knowledge-Based Systems

Quantified Score

Hi-index	0.20

Visualization

Abstract

We analyse the representability of different classes of binary relations on a set by means of suitable fuzzy numbers. In particular, we show that symmetric triangular fuzzy numbers can be considered as the best codomain to represent interval orders. We also pay attention to the representability of other classes of acyclic binary relations.