Consistency of Information About Type-2 Fuzzy Preference Relation

O. V. Baskov ()
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O. V. Baskov: Saint Petersburg State University, Universitetskaya emb., 7/9 Saint Petersburg, 199034, Russian Federation

International Journal of Information Technology & Decision Making (IJITDM), 2023, vol. 22, issue 06, 1797-1811

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.

Keywords: Multicriteria choice; decision-making; type-2 fuzzy sets; Pareto set; axiomatic approach (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0219622022500900

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