Supremum metric and relatively compact sets of fuzzy sets

Nonlinear Analysis, Theory, Methods and Applications

Volumn 64, Issue 6, 2006, Pages 1325-1335

  Greco, Gabriele H ^a   Moschen, Maria Pia ^a  

^a UNIVERSITY OF TRENTO   (Italy)

Author keywords

convergence; Compact set; Compactness criterion; Equi left continuity; Equi right continuity; Fuzzy set; Hausdorff distance; Metric space; Sendograph metric; Topology; Variational convergence

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FUZZY SETS; GRAPH THEORY; SET THEORY; TOPOLOGY;

⌈-CONVERGENCE; COMPACT SET; COMPACTNESS CRITERION; EQUI-LEFT-CONTINUITY; EQUI-RIGHT-CONTINUITY; FUZZY SET; HAUSDORFF DISTANCE; METRIC SPACE; SENDOGRAPH METRIC; VARIATIONAL CONVERGENCE;

METRIC SYSTEM;

EID: 30944449647     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2005.06.038     Document Type: Article

References (13)

1. G. Dal Maso An Introduction to ⌈ -convergence 1992 Birkhäuser Boston
2. E. De Giorgi, and T. Franzoni Su un tipo di convergenza variazionale Atti Acc. Naz. Lincei Rend. Cl. Sc. Mat. Fis. Nat. 58 8 1975 842 850
3. E. De Giorgi, and T. Franzoni Su un tipo di convergenza variazionale Rend. Sem. Mat. Brescia 3 1979 63 101
4. P. Diamond, and P. Kloeden A note on compact sets in spaces of subsets Bull. Austral. Math. Soc. 38 1988 393 395
5. P. Diamond, and P. Kloeden Characterization of compact subset of fuzzy sets Fuzzy Sets and Systems 29 1989 341 348
6. P. Diamond, and P. Kloeden Metric Spaces of Fuzzy Sets, Theory and Applications 1994 World Scientific Singapore
7. P. Diamond, and P. Kloeden Metric topology of fuzzy numbers and fuzzy analysis D. Dubois H. Prade Fundamentals of Fuzzy Sets 2000 Kluwer Dordrecht 583 641
8. G.H. Greco A characterization of relatively compact sets of fuzzy sets Ann. Univ. Ferrara Ser. VII (N.S.) 44 1998 27 39
9. G.H. Greco, M.P. Moschen, and E. Quelho Frota Rezende On the variational convergence for fuzzy sets in metric spaces Ann. Univ. Ferrara (Sez.VII, Sc. Mat.) 44 1998 27 39
10. O. Kaleva On the convergence of fuzzy sets Fuzzy Sets and Systems 17 1985 53 65
11. P. Kloeden Compact supported endographs and fuzzy sets Fuzzy Sets and Systems 4 1980 193 201
12. M.L. Puri, and D.A. Ralescu Diffrentielle d'une fonction floue C.R. Acad. Sci. Paris 293 S.I. 1981 237 239
13. H. Román-Flores, and M. Rojas-Medar Embedding of level-continuous fuzzy sets on banach spaces Inform. Sci. 144 1-4 2002 227 247