Title
Some properties of T-independent fuzzy variables
Abstract
T-independence of fuzzy variables is a more general concept than the classical independence. The objective of this study is to deal with some new properties of T-independent fuzzy variables. First of all, for any general t-norm, some criteria of T-independence are discussed for fuzzy variables under possibility, necessity and credibility measures. Subsequently, on the basis of left continuous t-norms, some formulas are derived on the ''max'' and ''min'' operations of the T-independent fuzzy variables in possibility distribution and in expectation. Finally, making use of continuous Archimedean t-norms, several convergence properties are discussed for T-independent fuzzy variables in credibility and in expectation, respectively, and some laws of large numbers are proved as well.
Year
DOI
Venue
2011
10.1016/j.mcm.2010.11.006
Mathematical and Computer Modelling
Keywords
DocType
Volume
convergence property,operation,t-independent fuzzy variable,left continuous t-norms,credibility measure,general t-norm,independence,classical independence,law of large numbers,general concept,fuzzy variable,continuous archimedean t-norms,convergence,t -norm,possibility distribution,t norm,t
Journal
53
Issue
ISSN
Citations 
5-6
Mathematical and Computer Modelling
1
PageRank 
References 
Authors
0.35
15
2
Name
Order
Citations
PageRank
Shuming Wang122915.96
Junzo Watada241184.53