Subsethood measures based on cardinality of type-2 fuzzy sets
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.
Authors
- Jorge Elorza (ORCID: https://orcid.org/0000-0002-5547-1083)
- Carmen Torres-Blanc (ORCID: https://orcid.org/0000-0002-0340-9931)
- Susana Cubillo (ORCID: https://orcid.org/0000-0002-6473-6039)
- Jesús Martínez-Mateo (ORCID: https://orcid.org/0000-0002-4579-6458)
- Francisco Javier Talavera (ORCID: https://orcid.org/0000-0001-7395-1999)
- Luis Magdalena (ORCID: https://orcid.org/0000-0001-7639-8906)
Institutions
- Artificial Intelligence Research Institute (ES)
- Universidad Politécnica de Madrid (ES)
- Universidad de Navarra (ES)
Publication Details
- Journal
- Fuzzy Sets and Systems
- Published
- 2024-11-04
- DOI
- https://doi.org/10.1016/j.fss.2024.109174
- Citations
- 2
- Primary Topic
- Fuzzy Logic and Control Systems
- Type
- article
- Field-Weighted Citation Impact
- 0.69