Spikes, broken planes and the approximation of convex fuzzy sets

Fuzzy Sets and Systems

Volumn 99, Issue 2, 1998, Pages 225-232

  Diamond, Phil ^a   Kloeden, Peter ^b   Vladimirov, Alexander ^a,c  

^a UNIVERSITY OF QUEENSLAND   (Australia)

^b DEAKIN UNIVERSITY   (Australia)

^c INSTITUTE FOR INFORMATION TRANSMISSION PROBLEMS   (Russian Federation)

Author keywords

Approximation; Complexity; Elementary sets; Fuzzy convex

Indexed keywords

EID: 16444372153     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(97)00018-3     Document Type: Article

References (6)

1. J.-P. Aubin and H. Frankowska, Set-Valued Analysis (Birkhäuser, Basel, 1990).
2. P. Diamond and P. Kloeden, Metric Spaces of Fuzzy Sets: Theory and Applications (World Scientific, Singapore, 1994).
3. P. Diamond and A. Ramer, Approximation of knowledge and fuzzy sets, Cybernet. Systems 24 (1993) 407-417.
4. R.M. Dudley. Metric entropy of some classes of sets with differential boundaries, J. Approx. Theory 10 (1974) 227-236.
5. A.N. Kolmogorov and V.N. Tikhomirov, ε-entropy and ε-capacity of sets in functional spaces, Uspekhi Mat. Nauk 14 (1959) 3-86.
6. C.V. Negoita and D.A. Ralescu, Applications of Fuzzy Sets to Systems Analysis (Wiley, New York, 1975).