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The Edgeworth-Pareto principle in terms of a fuzzy choice function

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Abstract

The Edgeworth-Pareto Principle, the simplest version of which has been known since the 19th century, is stated in general terms of a fuzzy choice function. The application of the principle is justified for a wide class of fuzzy multicriteria choice problems described by certain axioms of the rational behavior. These results bring the axiomatic substantiation of the Edgeworth-Pareto principle performed previously by the author to the most general form and make it possible to reveal the boundaries of that class of multicriteria choice problems for which the application of this principle is required. Based on scalarization methods as applied to multicriteria problems, upper bounds are derived for the unknown set of selected vectors.

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Authors and Affiliations

  1. St. Petersburg State University, Universitetskii pr. 28, Petrodvorets, St. Petersburg, 198504, Russia

    V. D. Noghin

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  1. V. D. Noghin
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Original Russian Text © V.D. Noghin, 2006, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2006, Vol. 46, No. 4, pp. 583–592.

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Noghin, V.D. The Edgeworth-Pareto principle in terms of a fuzzy choice function. Comput. Math. and Math. Phys. 46, 554–562 (2006). https://doi.org/10.1134/S096554250604004X

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  • DOI: https://doi.org/10.1134/S096554250604004X

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