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New Results About Aggregation Functions of Quasi-Pseudometric Modulars

Author

Listed:
  • Alejandro Fructuoso-Bonet

    (Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, Spain)

  • Jesús Rodríguez-López

    (Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, Spain)

Abstract

In recent studies, Bibiloni-Femenias, Miñana, and Valero characterized the functions that aggregate a family of (quasi-)(pseudo)metric modulars defined over a fixed set X into a single one. In this paper, we adopt a related but different approach to examine those functions that allow us to define a (quasi-)(pseudo)metric modular in the Cartesian product of (quasi-)(pseudo)metric modular spaces. We base our research on the recent development of a general theory of aggregation functions between quantales. This enables us to shed light between the two different ways of aggregation (quasi-)(pseudo)metric modulars.

Suggested Citation

  • Alejandro Fructuoso-Bonet & Jesús Rodríguez-López, 2025. "New Results About Aggregation Functions of Quasi-Pseudometric Modulars," Mathematics, MDPI, vol. 13(5), pages 1-23, February.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:5:p:809-:d:1602500
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    References listed on IDEAS

    as
    1. Tatiana Pedraza & Jesús Rodríguez-López, 2020. "Aggregation of L -Probabilistic Quasi-Uniformities," Mathematics, MDPI, vol. 8(11), pages 1-21, November.
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