RT journal article
T1 Optimization of partially monotonic functions subject to bipolar fuzzy relation equations
A1 Cornejo Piñero, María Eugenia
A1 Lobo Palacios, David
A1 Medina Moreno, Jesús
A2 Matemáticas
K1 Bipolar fuzzy relation equation
K1 Extended aggregator
K1 Negation operator
K1 Nonlinear optimization
AB A method to solve a latticed optimization problem constrained by a bipolar fuzzy relation equation is presented in this paper, under the hypothesis of a partially monotonic objective function. The solving strategy consists of transforming the problem into optimizing an order-preserving function in all arguments subject to another bipolar fuzzy relation equation. As a result, all the solutions of the original optimization problem can be deduced from the extremal elements of the feasible domain of the transformed problem. The presented approach embraces the particular case of linear optimization constrained by bipolar fuzzy relation equations.
PB Elsevier Inc.
SN 0020-0255
YR 2023
FD 2023
LK http://hdl.handle.net/10498/31849
UL http://hdl.handle.net/10498/31849
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026