Work

Definition of Triangular Norms and Triangular Conorms on Subfamilies of Type-2 Fuzzy Sets

Year: 2024

Type: article

Abstract: In this paper, we obtain new t-norms and t-conorms on some important subfamilies of the set of functions from [0,1] to [0,1]. In particular, we define these new operators on the subsets of the functions that are convex, normal, normal and convex, the functions taking only the values 0 or 1 and its subset of the functions whose support is a finite union of closed intervals. These t-norms and t-conorms are generalized to the type-2 fuzzy sets framework.

Source: Axioms

DOI: 10.3390/axioms14010027

Authors: Pablo Hernandez-Varela, Francisco Javier Talavera, Susana Cubillo, Carmen Torres-Blanc, Jorge Elorza

Institutions: San Sebastián University, Universidad de Navarra, Universidad Politécnica de Madrid

Language: English

Topic: Advanced Algebra and Logic

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,728

Funders: Universidad de Navarra, Ministerio de Ciencia e Innovación, Agencia Estatal de Investigación, Asociación de Amigos de la Universidad de Navarra