Strong convergence for weighted sums of fuzzy random sets

DOI10.1016/J.INS.2005.02.002zbMath1092.60020OpenAlexW2090637769MaRDI QIDQ2489259

Sang Yeol Joo, Yun Kyong Kim, Joong Sung Kwon

Publication date: 16 May 2006

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2005.02.002

zbMATH Keywords

strong law of large numbersuniform integrabilitytightnessrandom setsweighted sumsfuzzy random sets

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Fuzzy control/observation systems (93C42) Theory of fuzzy sets, etc. (03E72) Fuzzy and other nonstochastic uncertainty mathematical programming (90C70) Generalizations of martingales (60G48) Fuzzy measure theory (28E10) Fuzzy sets and logic (in connection with information, communication, or circuits theory) (94D05) Fuzzy real analysis (26E50)

Related Items (8)

Strong laws of large numbers for arrays of rowwise independent random compact sets and fuzzy random sets ⋮ On the Integration of Fuzzy Level Sets ⋮ Strong laws of large numbers for adapted arrays of set-valued and fuzzy-valued random variables in Banach space ⋮ A note on strong laws of large numbers for dependent random sets and fuzzy random sets ⋮ Sufficiency, Completeness, and Unbiasedness Based on Fuzzy Sample Space ⋮ Strong limit theorems for random sets and fuzzy random sets with slowly varying weights ⋮ Some strong laws of large number for double array of random upper semicontinuous functions in convex combination spaces ⋮ SOME NOTES ON STRONG LAW OF LARGE NUMBERS FOR BANACH SPACE VALUED FUZZY RANDOM VARIABLES

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An approach to generalize laws of large numbers for fuzzy random variables
• Measurability for fuzzy valued functions
• Convex fuzzy sets
• A strong law of large numbers for fuzzy random sets
• A strong law of large numbers for random compact sets
• Integrals, conditional expectations, and martingales of multivalued functions
• Convergence of weighted sums of tight random elements
• A generalized strong law of large numbers
• On strong laws of large numbers for random upper semicontinuous functions
• A law of large numbers for random sets
• Topological properties on the space of fuzzy sets
• Compactness and convexity on the space of fuzzy sets. II
• Convergence of weighted sums of random sets
• Limit theorems for fuzzy random variables
• STRONG LAWS OF LARGE NUMBERS FOR RANDOM UPPER-SEMICONTINUOUS FUZZY SETS
• Fuzzy random variables
• On the formalization of fuzzy random variables
• A method to derive strong laws of large numbers for random upper semicontinuous functions

This page was built for publication: Strong convergence for weighted sums of fuzzy random sets