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What aggregation rules can be classified as logical concepts?

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  • Nikolay L. Poliakov

Abstract

In this paper, we study aggregation rules with nontrivial symmetric classes of invariant sets (restricted domains), assuming that they, unlike others, have a logical nature. In the simplest case, we provide a complete classification of such rules. Our primary tools are methods of universal algebra and the theory of closed classes of discrete functions.

Suggested Citation

  • Nikolay L. Poliakov, 2026. "What aggregation rules can be classified as logical concepts?," Papers 2604.01260, arXiv.org.
    • Handle: RePEc:arx:papers:2604.01260
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    References listed on IDEAS

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    2. Aizerman, M. A. & Aleskerov, F. T., 1986. "Voting operators in the space of choice functions," Mathematical Social Sciences, Elsevier, vol. 11(3), pages 201-242, June.
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