Vent'anni di struttura di preferenza fuzzy

Translated title of the contribution: Twenty years of fuzzy preference structures (1978-1997)

Bernard De Beats, János C. Fodor

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

The aim of this paper is to summarize the historical development of the concept of a fuzzy preference structure and to present the resulting material in a logical manner. Roughly speaking, three phases civil be distinguished. In the first, phase, different proposais for constructing fuzzy strict, preference and indefference relations emerge. In the second one, this construction is approached in an axiomatic way, by imposing couditions on the fuzzy strict preference, indifference and incomparability relatins, leading to functinal equations identifying suitable strict preference, indifference and incomparability generators. Surprisingly, the definition of a fuzzy preference structure ws only given in the third phase, leading to the study of additive fuzzy preference structures. Combined with results from the axiomatic approach, this has finally led to the discovery of characterizable fuzzy fuzzy preference structures.

Original languageItalian
Pages (from-to)45-66
Number of pages22
JournalDecisions in Economics and Finance
Volume20
Issue number1
Publication statusPublished - Dec 1 1997

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Keywords

  • De morgan triplet
  • Fuzzy preference structure
  • Fuzzy relation
  • Incomparability
  • Indifference
  • Strict preference
  • T-term

ASJC Scopus subject areas

  • Finance
  • Economics, Econometrics and Finance(all)

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