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The Edgeworth–Pareto Principle in the Case of a Type-2 Fuzzy Preference Relation

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Abstract

The Edgeworth–Pareto principle is extended to the class of multicriteria choice problems, in which the preference relation of the decision maker is described by a type-2 fuzzy binary relation. The necessary condition for its fulfillment is the adoption of two assumptions: the Pareto axiom and axiom of exclusion of dominated variants. Brief information about fuzzy sets and relations of types 1 and 2 precedes the main results of the paper. In order to justify the Edgeworth–Pareto principle a fuzzy set of nondominated variants is introduced in the case of a type-2 fuzzy preference relation.

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Funding

The study was financially supported by the Russian Foundation for Basic Research, project number 20-07-00298a.

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  1. St. Petersburg State University, St. Petersburg, Russia

    O. V. Baskov & V. D. Noghin

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  1. O. V. Baskov
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  2. V. D. Noghin
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Correspondence to V. D. Noghin.

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Baskov, O.V., Noghin, V.D. The Edgeworth–Pareto Principle in the Case of a Type-2 Fuzzy Preference Relation. Sci. Tech. Inf. Proc. 48, 299–307 (2021). https://doi.org/10.3103/S0147688221050014

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