RT Journal Article
T1 Functional degrees of inclusion and similarity between L-fuzzy sets.
A1 Madrid-Labrador, Nicolás Miguel
A1 Ojeda-Aciego, Manuel
K1 Conjuntos difusos
AB Inclusion is one of the most basic relations between sets. In this paper, we show how to represent the degree of inclusion between two L-fuzzy sets via a function. Specifically, such a function determines the minimal modifications needed in an L-fuzzy set to be included (in Zadeh's sense) into another. To reach such a goal, firstly we present the notion of f-inclusion, which defines a family of crisp binary relations between L-fuzzy sets that are used as indexes of inclusion and, subsequently, we define the φ-degree of inclusion as the most suitable f-inclusion under certain criterion. In addition, we also present three φ-degrees of similarity definable from the φ-degree of inclusion. We show that the φ-degree of inclusion and the φ-degrees of similarities satisfy versions of many common axioms usually required for measures of inclusion and similarity in the literature.
PB Elsevier
YR 2020
FD 2020-07-20
LK https://hdl.handle.net/10630/40243
UL https://hdl.handle.net/10630/40243
LA eng
NO Nicolás Madrid, Manuel Ojeda-Aciego: Functional degrees of inclusion and similarity between L-fuzzy sets. Fuzzy Sets Syst. 390: 1-22 (2020)
NO https://openpolicyfinder.jisc.ac.uk/id/publication/11428
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 20 ene 2026