Work

Subsethood measures based on cardinality of type-2 fuzzy sets

Year: 2024

Type: article

Abstract: In this work we present a novel axiomatic framework for subsethood measures in type-2 fuzzy sets. It differs from previous approaches in two key ways. First, the degree of membership is not simply a fuzzy set as considered in other papers, but rather a label of the variable Truth , more in line with Zadeh's original idea. Secondly, the concept of subsethood is approached in terms of its relationship with cardinality. Additionally, illustrative examples of such measures are provided.

Source: Fuzzy Sets and Systems

DOI: 10.1016/j.fss.2024.109174

Authors: Carmen Torres-Blanc, Jesus Martinez-Mateo, Susana Cubillo, Luis Magdalena, Francisco Javier Talavera, Jorge Elorza

Institutions: Universidad Politécnica de Madrid, Artificial Intelligence Research Institute, Universidad de Navarra

Language: English

Topic: Advanced Algebra and Logic

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,680

OpenAlex ID: W4404025842

FWCI: 0.602

Cites: 43

Cited by: 3

Related to: 10