Some properties of -independent fuzzy variables

✍ Scribed by Shuming Wang; Junzo Watada

• Publisher: Elsevier Science
• Year: 2011
• Tongue: English
• Weight: 292 KB
• Volume: 53
• Category: Article
• ISSN: 0895-7177
• DOI: 10.1016/j.mcm.2010.11.006

✦ Synopsis

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 Tindependent fuzzy variables. First of all, for any general t-norm, some criteria of Tindependence 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.