Generation of linear orders for intervals by means of aggregation functions

  • Authors:

  • H. Bustince;J. Fernandez;A. KolesáRová;R. Mesiar

  • Affiliations:

  • Departamento de Automática y Computación, Universidad Pública de Navarra, Campus Arrosadia s/n, P.O. Box 31006, Pamplona, Spain;Departamento de Automática y Computación, Universidad Pública de Navarra, Campus Arrosadia s/n, P.O. Box 31006, Pamplona, Spain;Institute of Information Engineering, Automation and Mathematics, Slovak University of Technology, 81237 Bratislava, Slovakia;Department of Mathematics, Slovak University of Technology, Radlinskeho 11, Bratislava, Slovakia and Institute of Information Theory and Automation, Academy of Sciences of the Czech Republic, 1820 ...

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2013

Quantified Score

Hi-index 0.20

Visualization

Abstract

The problem of choosing an appropriate total order is crucial for many applications that make use of extensions of fuzzy sets. In this work we introduce the concept of an admissible order as a total order that extends the usual partial order between intervals. We propose a method to build these admissible orders in terms of two aggregation functions and we prove that some of the most used examples of total orders that appear in the literature are specific cases of our construction.