Article

Studia Logica

, Volume 100, Issue 5, pp 975-1000

First online:

M-Zeroids: Structure and Categorical Equivalence

  • Joshua B. PalmatierAffiliated withDepartment of Mathematics, Computer Science, and Statistics Oneonta, State University of New York, College at Oneonta Email author 
  • , Fernando GuzmanAffiliated withDepartment of Mathematical Sciences Binghamton, State University of New York, Binghamton University

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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.

Keywords

Finite totally-ordered m-zeroid m-Zeroid Implicator Pseudo Łukasiewicz-like implicator Categorical equivalence