A characterization of compact subsets of fuzzy number space

Fuzzy Sets and Systems

Volumn 123, Issue 2, 2001, Pages 191-195

  Ghil, Byung Moon ^a   Joo, Sang Yeol ^b   Kim, Yun Kyong ^c  

^a SunMoon University   (South Korea)

^b Kangwon National University   (South Korea)

^c Dongshin University   (South Korea)

Author keywords

Compact subsets; Fuzzy numbers; Skorokhod topology

Indexed keywords

EID: 0035900049     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(00)00097-X     Document Type: Article

References (9)

1. P. Billingsley Convergence of Probability Measures 1968 Wiley New York
2. Wu Congxin Ma Ming Embedding problem of fuzzy number space Part II Fuzzy Sets and Systems 45 1992 189 202
3. P. Diamond P. Kloeden Characterization of compact subsets of fuzzy sets Fuzzy Sets and Systems 29 1989 341 348
4. R. Goetschel W. Voxman Elementary fuzzy calculus Fuzzy Sets and Systems 18 1986 31 43
5. J. Jacod A.N. Shirayaev Limit Theorems for Stochastic Processes 1987 Springer New York
6. S.Y. Joo Y.K. Kim The Skorokhod topology on space of fuzzy numbers Fuzzy Sets and Systems 111 2000 497 501
7. Y.K. Kim B.M. Ghil Integrals of fuzzy number valued functions Fuzzy Sets and Systems 86 1997 213 222
8. E.P. Klement M.L. Puri D.A. Ralescu Limit theorems for fuzzy random variables Proc. Roy. Soc. London Ser. A 407 1986 171 182
9. A.V. Skorokhod Limit theorems for stochastic processes Theory Probab. Appl. 1 1956 261 290