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M-Zeroids: Structure and Categorical Equivalence

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Abstract

In this note we develop a method for constructing finite totally-ordered m-zeroids and prove that there exists a categorical equivalence between the category of finite, totally-ordered m-zeroids and the category of pseudo Łukasiewicz-like implicators.

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Authors and Affiliations

  1. Department of Mathematics, Computer Science, and Statistics Oneonta, State University of New York, College at Oneonta, 13820, New York, USA

    Joshua B. Palmatier

  2. Department of Mathematical Sciences Binghamton, State University of New York, Binghamton University, 13902-6000, New York, USA

    Fernando Guzman

Authors
  1. Joshua B. Palmatier
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  2. Fernando Guzman
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Correspondence to Joshua B. Palmatier.

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Palmatier, J.B., Guzman, F. M-Zeroids: Structure and Categorical Equivalence. Stud Logica 100, 975–1000 (2012). https://doi.org/10.1007/s11225-012-9444-5

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  • DOI: https://doi.org/10.1007/s11225-012-9444-5

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