RT journal article
T1 Bipolar fuzzy relation equations systems based on the product t-norm
A1 Cornejo Piñero, María Eugenia
A1 Lobo Palacios, David
A1 Medina Moreno, Jesús
A2 Matemáticas
K1 Bipolar fuzzy relation equation
K1 Fuzzy set
K1 Max-product t-norm composition
K1 Negation operator
AB Bipolar fuzzy relation equations arise as a generalization of fuzzy relation equations considering unknown variables together with their logical connective negations. The occurrence of a variable and the occurrence of its negation simultaneously can give very useful information for certain frameworks where the human reasoning plays a key role. Hence, the resolution of bipolar fuzzy relation equations systems is a research topic of great interest. This paper focuses on the study of bipolar fuzzy relation equations systems based on the max-product t-norm composition. Specifically, the solvability and the algebraic structure of the set of solutions of these bipolar equations systems will be studied, including the case in which such systems are composed of equations whose independent term be equal to 0. As a consequence, this paper complements the contribution carried out by the authors on the solvability of bipolar max-product fuzzy relation equations.
SN 0170-4214
YR 2019
FD 2019
LK http://hdl.handle.net/10498/34655
UL http://hdl.handle.net/10498/34655
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026