Preliminary aspects on the development of a choice method for determining a best fitting case dependent fuzzy transitivity definition

• E.E. Haven ^[1]
  1. [1] Consortium McGill University
• Localización: Fuzzy economic review, ISSN 1136-0593, Vol. 3, Nº. 1, 1998
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • The choice of a fuzzy transitivity definition is in many instances case dependent. We propose in this paper a method which may help us reveal which choice of fuzzy transitivity definition may be preferred over another, in the event there exists a crisp linear ranking. If we have criteria varying in (inverse) proportion with a given limit we can find sufficient conditions which will ensure that a change in that limit will not induce a change in the fuzzy preferences over the alternatives. Using this finding we then argue for so called template induced rankings. The comparison of those induced rankings with the quasi-order rankings at a same a-cut, will provide us with a better understanding as to whether the particular choice of a fuzzy transitivity definition has been appropriate