Two functional equations in fuzzy preference modelling

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

Preference modelling is a fundamental part of several applied fields but at the same time it has its own interesting theoretical problems. There exists a well-known axiomatic approach to fuzzy preference structures [6], [7]. In this axiomatic framework, general constructions of strict preference, indifference and incomparability relations associated with a fuzzy large preference relation are established via solving a system of functional equations. In the present paper we overview the solutions of two key functional equations (one of Frank, and one of Alsina) under different conditions on the underlying logic operations. Consequences of these general results to fuzzy preference modelling are also summarized.

Original languageEnglish
Title of host publicationINES 2006: 10th International Conference on Intelligent Engineering Systems 2006
Pages17-23
Number of pages7
Publication statusPublished - 2006
EventINES 2006: 10th International Conference on Intelligent Engineering Systems 2006 - London, United Kingdom
Duration: Jun 26 2006Jun 28 2006

Other

OtherINES 2006: 10th International Conference on Intelligent Engineering Systems 2006
CountryUnited Kingdom
CityLondon
Period6/26/066/28/06

Fingerprint

Preference Modelling
Fuzzy Preference
Fuzzy Modeling
Functional equation
Preference Relation
Logic
Framework

ASJC Scopus subject areas

  • Artificial Intelligence
  • Software
  • Applied Mathematics
  • Theoretical Computer Science

Cite this

Fodor, J., & Rudas, I. (2006). Two functional equations in fuzzy preference modelling. In INES 2006: 10th International Conference on Intelligent Engineering Systems 2006 (pp. 17-23). [1689334]

Two functional equations in fuzzy preference modelling. / Fodor, J.; Rudas, I.

INES 2006: 10th International Conference on Intelligent Engineering Systems 2006. 2006. p. 17-23 1689334.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Fodor, J & Rudas, I 2006, Two functional equations in fuzzy preference modelling. in INES 2006: 10th International Conference on Intelligent Engineering Systems 2006., 1689334, pp. 17-23, INES 2006: 10th International Conference on Intelligent Engineering Systems 2006, London, United Kingdom, 6/26/06.
Fodor J, Rudas I. Two functional equations in fuzzy preference modelling. In INES 2006: 10th International Conference on Intelligent Engineering Systems 2006. 2006. p. 17-23. 1689334
Fodor, J. ; Rudas, I. / Two functional equations in fuzzy preference modelling. INES 2006: 10th International Conference on Intelligent Engineering Systems 2006. 2006. pp. 17-23
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