Limit theorems for fuzzy-random variables

Fuzzy Sets and Systems

Volumn 126, Issue 2, 2002, Pages 253-263

  Krätschmer, Volker ^a  

^a SAARLAND UNIVERSITY   (Germany)

Author keywords

Banach spaces of type 2; Central limit theorem; Dominated convergence theorem; Expected value of fuzzy random variables; Expected value of random compact sets; Fuzzy random variable; Gliwenko Cantelli theorem; Lp spaces; Metrics on spaces of fuzzy subsets; Random compact set; Strong law of large numbers; Support functions; Support functions of fuzzy subsets

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; MAPPING; RANDOM PROCESSES; STATISTICAL METHODS; THEOREM PROVING;

FUZZY-RANDOM VARIABLES;

FUZZY SETS;

EID: 0036498114     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(00)00100-7     Document Type: Article

References (20)

1. Integrals of set-valued functions
2. Integration of correspondences
3. Metric spaces of fuzzy sets
4. Integrals, conditional expectations, and martingales of multivalued functions
5. The law of large numbers and the central limit theorem in Banach spaces
6. A strong law of large numbers for fuzzy-random-sets
7. Limit theorems for fuzzy random variables
8. On the variance of fuzzy random variables
9. A unified approach to fuzzy-random-variables
10. The strong law of large numbers for fuzzy random variables
11. Fuzzy random variables I
12. A strong law of large number for fuzzy random variables
13. Fuzzy random variables