Section II Approaches To Uncertainty B) Fuzzy Set Theory

Uncertainty in Knowledge-Based Systems

Volume 286 of the series Lecture Notes in Computer Science pp 144-150

Date:

Fuzzy preferences in decision-making

  • F. J. MonteroAffiliated withDept. Estadística e I.O. Fac. CC. Matemáticas, Universidad Complutense
  • , J. TejadaAffiliated withDept. Estadística e I.O. Fac. CC. Matemáticas, Universidad Complutense

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Abstract

In this paper, Orlovsky's concept of decision making with fuzzy preference relation is studied. On the one hand, the special significance of max-min transitivity inside the family of max-⋆ transitivities is stablished. On the other hand, a necessary and sufficient condition for the existence of a non empty set of unfuzzy nondominated alternatives is proved. Moreover, other alternative methods are proposed in order to solve some practical difficulties.

Key words

Decision-making Fuzzy relations Nondominated alternatives

Subject Classifications

AMS (MOS): 03E72 CR: 90A06