Defuzzification using Steiner points

Fuzzy Sets and Systems

Volumn 157, Issue 11, 2006, Pages 1455-1462

  Vetterlein, Thomas ^a   Navara, Mirko ^b  

^a TU DORTMUND UNIVERSITY   (Germany)

^b CZECH TECHNICAL UNIVERSITY IN PRAGUE   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

FUZZY SETS; MATHEMATICAL TECHNIQUES; NUMERICAL METHODS; SET THEORY;

ANALOGOUS PROPERTIES; CONVEX SUBSETS; STEINER POINTS;

FUZZY CONTROL;

EID: 33646194180     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2006.01.012     Document Type: Article

References (16)

1. Butnariu D., and Iusem A.N. Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization (2000), Kluwer Academic Publishers, Dordrecht
2. Diamond P., and Kloeden P. Metric Spaces of Fuzzy Sets: Theory and Applications (1994), World Scientific, Singapore
3. Dubois D., and Prade H. Logique floue interpolation et commande. J. Europ. des Systèmes Automatisés 30 (1996) 607-644
4. Filev D.P., and Yager R.R. A generalized defuzzification method under BAD distributions. Int. J. Intell. Syst. 6 (1991) 687-697
5. Groemer H. Geometric Applications of Fourier Series and Spherical Harmonics (1996), Cambridge University Press, Cambridge
6. Grünbaum B. Convex Polytopes. second ed. (2003), Springer, New York
7. Heilpern S. Fuzzy mappings and fixed point theorem. J. Math. Anal. Appl. 83 (1881) 566-569
8. C.S. Hönig, Volterra-Stieltjes Integral Equations, North-Holland Publishing Company, Amsterdam, and American Elsevier Publishing Company, New York, 1975.
9. Negoita C.V., and Ralescu D.A. Applications of Fuzzy Sets to Systems Analysis (1975), Birkhäuser-Verlag, Basel
10. Nguyen H.T. A note on the extension principle for fuzzy sets. J. Math. Anal. Appl. 64 (1978) 369-380
11. Oussalah M. On the compatibility between defuzzification and fuzzy arithmetic operations. Fuzzy Sets and Systems 128 (2002) 247-260
12. Roventa E., and Spircu T. Averaging procedures in defuzzification processes. Fuzzy Sets and Systems 136 (2003) 375-385
13. Schneider R. On Steiner points of convex bodies. Israel J. Math. 9 (1971) 241-249
14. Schneider R. Convex Bodies: The Brunn-Minkowski Theory (1993), Cambridge University Press, Cambridge
15. Shephard G.C. A uniqueness theorem for the Steiner point of a convex region. J. London Math. Soc. 43 (1968) 439-444
16. Yager R.R. Prototypical values for fuzzy subsets. Kybernetes 10 (1981) 135-139