JOURNAL ARTICLE

Consistency of Information About Type-2 Fuzzy Preference Relation.

  • Published In: International Journal of Information Technology & Decision Making, 2023, v. 22, n. 6. P. 1797 1 of 3

  • Database: Business Source Ultimate 2 of 3

  • Authored By: Baskov, O. V. 3 of 3

Abstract

In this paper, an axiomatic approach to Pareto set reduction problem is considered. The reduction is based on accounting for preferences of a decision maker which are modeled with the use of a type-2 fuzzy binary relation. This relation is only partially known through a set of so-called information quanta. Since these quanta are provided by the decision maker, it must be verified that they are consistent with the requirements of the axiomatic approach — the axioms of rational choice. Several theorems giving necessary and sufficient conditions of quanta consistency are proved. Ideas for dealing with inconsistencies are discussed with a few examples. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:International Journal of Information Technology & Decision Making. 2023/11, Vol. 22, Issue 6, p1797
  • Document Type:Article
  • Subject Area:Science
  • Publication Date:2023
  • ISSN:0219-6220
  • DOI:10.1142/S0219622022500900
  • Accession Number:171957562
  • Copyright Statement:Copyright of International Journal of Information Technology & Decision Making is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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