Best Lipschitz constant of the trapezoidal approximation operator preserving the expected interval

Fuzzy Sets and Systems

Volumn 165, Issue 1, 2011, Pages 81-97

  Coroianu, Lucian ^a  

^a UNIVERSITY OF ORADEA   (Romania)

Author keywords

Fuzzy number; Lipschitz constant; Trapezoidal approximation; Trapezoidal fuzzy number

Indexed keywords

FUZZY RULES;

APPROXIMATION OPERATORS; EXPECTED INTERVAL; FUZZY NUMBERS; LIPSCHITZ CONSTANT; REASONABLE ERRORS; TRAPEZOIDAL APPROXIMATION; TRAPEZOIDAL FUZZY NUMBERS;

FUZZY SETS;

EID: 78650823722     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2010.10.004     Document Type: Article

References (25)

1. S. Abbasbandy, and M. Amirfakhrian The nearest approximation of a fuzzy quantity in parametric form Applied Mathematics and Computation (New York) 172 2006 624 632 (Pubitemid 43132866)
2. S. Abbasbandy, and M. Amirfakhrian The nearest trapezoidal form of a generalized left right fuzzy number International Journal of Approximate Reasoning 43 2006 166 178
3. S. Abbasbandy, and B. Asady The nearest trapezoidal fuzzy number to a fuzzy quantity Applied Mathematics and Computation (New York) 156 2004 381 386
4. T. Allahviranloo, and M. Adabitabar Firozja Note on "Trapezoidal approximation of fuzzy numbers" Fuzzy Sets and Systems 158 2007 755 756
5. A.I. Ban Approximation of fuzzy numbers by trapezoidal fuzzy numbers preserving the expected interval Fuzzy Sets and Systems 159 2008 1327 1344
6. A.I. Ban On the nearest parametric approximation of a fuzzy number - revisited Fuzzy Sets and Systems 160 2009 3027 3047
7. A.I. Ban Trapezoidal and triangular approximations of fuzzy numbers - inadvertences and corrections Fuzzy Sets and Systems 160 2009 3048 3058
8. A.I. Ban, L. Coroianu, Continuity and Linearity of the trapezoidal approximation preserving the expected interval operator, in: International Fuzzy Systems Association World Congress, 20-24 July 2009, pp. 798-802.
9. A.I. Ban, L. Coroianu, Continuity of trapezoidal approximation operators, submitted for publication.
10. S. Chanas On the interval approximation of a fuzzy number Fuzzy Sets and Systems 122 2001 353 356
11. P. Diamond, and P. Kloeden Metric Spaces of Fuzzy Sets. Theory and Applications 1994 World Scientific Singapore
12. D. Dubois, and H. Prade The mean value of a fuzzy number Fuzzy Sets and Systems 24 1987 279 300
13. P. Grzegorzewski Metrics and orders in space of fuzzy numbers Fuzzy Sets and Systems 97 1998 83 94
14. P. Grzegorzewski Nearest interval approximation of a fuzzy number Fuzzy Sets and Systems 130 2002 321 330
15. P. Grzegorzewski, and E. Mrówka Trapezoidal approximations of fuzzy numbers Fuzzy Sets and Systems 153 2005 115 135
16. P. Grzegorzewski, and E. Mrówka Trapezoidal approximations of fuzzy numbers - revisited Fuzzy Sets and Systems 158 2007 757 768
17. P. Grzegorzewski Trapezoidal approximations of fuzzy numbers preserving the expected interval - algorithms and properties Fuzzy Sets and Systems 47 2008 1353 1354
18. S. Heilpern The expected value of a fuzzy number Fuzzy Sets and Systems 47 1992 81 86
19. E.N. Nasibov, and S. Peker On the nearest parametric approximation of a fuzzy number Fuzzy Sets and Systems 159 2008 1365 1375
20. W. Rudin Real and Complex Analysis 1986 McGraw-Hill New York
21. C.-T. Yeh A note on trapezoidal approximation of fuzzy numbers Fuzzy Sets and Systems 158 2007 747 754
22. C.-T. Yeh On improving trapezoidal and triangular approximations of fuzzy numbers International Journal of Approximate Reasoning 48 2008 297 313
23. C.-T. Yeh Trapezoidal and triangular approximations preserving the expected interval Fuzzy Sets and Systems 159 2008 1345 1353
24. C.-T. Yeh Weighted trapezoidal and triangular approximations of fuzzy numbers Fuzzy Sets and Systems 160 2009 3059 3079
25. W. Zeng, and H. Li Weighted triangular approximation of fuzzy numbers International Journal of Approximate Reasoning 46 2007 137 150