NeutroGroups Generated by Uninorms: A Theoretical Approach

Abstract:

NeutroAlgebras and particularly NeutroGroups are novel algebraic structures where at least one of the classical axioms is satisfied by not all the elements of the set. In the theoretical literature consulted by the authors, most of the NeutroGroups examples are obtained from the well known Z_n groups endowed with either product or sum operations. This chapter aims to propose a method for the generation of NeutroGroups in a simple and automatic way from uninorms, with special interest in uninorms based on combining functions in both Mycin and Prospector expert systems. The use of theses uninorms suggests the possible application of NeutroGroups in fields such as decision making as can be found in the consulted literature, as well as for Expert Systems, among others. NeutroGroups of finite or infinite cardinality will be generated, where the axioms of NeutroAsociativity or NeutroInverse are fulfilled, and also …

Año de publicación:

2022

Keywords:

Fuente:

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