Title
The Null Space of Fuzzy Inclusion Measures
Abstract
AbstractIn this article, some formal relationships between the different axiomatic definitions of inclusion measure are analyzed. In particular, the links between the different proposals about the null-space (the collection of pairs associated with a null degree of inclusion) are studied. Taking as starting point the well-known axiomatics of Kitainik and Sinha–Dougherty, we observe that other alternative proposals about the null-space are incompatible with both the null-space and the decomposition axioms of these authors. We also conclude that both the axiomatics of Kitainik and those of Sinha–Dougherty contain certain redundancies. Reduced equivalent lists of axioms are proposed.
Year
DOI
Venue
2021
10.1109/TFUZZ.2019.2957248
Periodicals
Keywords
DocType
Volume
Fuzzy sets, Proposals, Electronic mail, Null space, Fans, Atmospheric measurements, Particle measurements, Fuzzy inclusion, Kitainik axioms keywords, Sinha&#8211, Dougherty axioms, subsethood measure
Journal
29
Issue
ISSN
Citations 
3
1063-6706
0
PageRank 
References 
Authors
0.34
9
4
Name
Order
Citations
PageRank
Inés Couso185069.91
Humberto Bustince21938134.10
Javier D. Fernández343543.56
L. Sánchez443719.68