RT Journal Article T1 A novel way to build expert systems with infinite-valued attributes A1 Hernando-Esteban, Antonio A1 Galán-García, José Luis A1 Aguilera-Venegas, Gabriel K1 Álgebra conmutativa K1 Polinomios K1 Sistemas expertos (Informática) AB An expert system is a computer program that uses the knowledge of an expert to solve problems in a specific domain. Expert systems are used in a wide variety of fields, such as medicine, financial diagnosis and engineering. The attributes of an expert system are the characteristics of the problems that the system can solve. In traditional expert systems, attributes typically have a finite number of possible values. However, in scenarios where an attribute can assume a value from an infinite (or significantly large finite) set, the expert system cannot be represented using propositional logic. Until now, no method had been identified to implement such a system on a Computer Algebra System. Here, we break new ground by presenting a model that not only addresses this gap but also provides a fresh perspective on previous results. In fact, these prior results can be viewed as specific instances within the broader framework of our proposed solution. In this paper, we put forth an algebraic approach for the development of expert systems capable of handling attributes with infinite values, thereby expanding the problem-solving capacity of these systems. PB AIMS Press YR 2024 FD 2024-01-02 LK https://hdl.handle.net/10630/40665 UL https://hdl.handle.net/10630/40665 LA eng NO Antonio Hernando, José Luis Galán-García, Gabriel Aguilera-Venegas. A novel way to build expert systems with infinite-valued attributes[J]. AIMS Mathematics, 2024, 9(2): 2938-2963. doi: 10.3934/math.2024145 NO © 2024 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0) DS RIUMA. Repositorio Institucional de la Universidad de Málaga RD 19 ene 2026