On the nearest parametric approximation of a fuzzy number-Revisited

Fuzzy Sets and Systems

Volumn 160, Issue 21, 2009, Pages 3027-3047

  Ban, Adrian I ^a  

^a UNIVERSITY OF ORADEA   (Romania)

Author keywords

Distance; Fuzzy number; Parametric approximation

Indexed keywords

ADDITIVITY; APPROXIMATION OPERATORS; DISTANCE; EUCLIDEAN DISTANCE; EXPECTED VALUES; FUZZY NUMBER; FUZZY NUMBERS; PARAMETRIC APPROXIMATION; SCALE INVARIANCE; TRANSLATION INVARIANCE;

COMPUTATION THEORY; FUZZY RULES; FUZZY SETS; MATHEMATICAL OPERATORS;

APPROXIMATION ALGORITHMS;

EID: 69249221319     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2009.05.001     Document Type: Article

References (16)

1. Abbasbandy S., and Amirfakhrian M. The nearest trapezoidal form of a generalized left right fuzzy number. International Journal of Approximate Reasoning 43 (2006) 166-178
2. Abbasbandy S., and Asady B. The nearest trapezoidal fuzzy number to a fuzzy quantity. Applied Mathematics and Computation (New York) 156 (2004) 381-386
3. Ban A. Approximation of fuzzy numbers by trapezoidal fuzzy numbers preserving the expected interval. Fuzzy Sets and Systems 159 (2008) 1327-1344
4. A. Ban, Triangular and parametric approximations of fuzzy numbers-inadvertences and corrections, Fuzzy Sets and Systems (2009), doi:10.1016/j.fss.2009.04.003.
5. Chanas S. On the interval approximation of a fuzzy number. Fuzzy Sets and Systems 122 (2001) 353-356
6. Delgado M., Vila M.A., and Voxman W. On a canonical representation of a fuzzy number. Fuzzy Sets and Systems 93 (1998) 125-135
7. Dubois D., and Prade H. Operations on fuzzy numbers. International Journal of Systems Science 9 (1978) 613-626
8. Grzegorzewski P. Metrics and orders of fuzzy numbers. Fuzzy Sets and Systems 97 (1998) 83-94
9. Grzegorzewski P. Nearest interval approximation of a fuzzy number. Fuzzy Sets and Systems 130 (2002) 321-330
10. Grzegorzewski P. Trapezoidal approximations of fuzzy numbers preserving the expected interval-Algorithms and properties. Fuzzy Sets and Systems 159 (2008) 1354-1364
11. Malamud S.M. Some complements to the Jensen and Chebyshev inequalities and a problem of W. Walter. Proc. Am. Math. Soc. 129 (2001) 2671-2678
12. Nasibov E.N., and Peker S. On the nearest parametric approximation of a fuzzy number. Fuzzy Sets and Systems 159 (2008) 1365-1375
13. Rockafellar R.T. Convex Analysis (1970), Princeton University Press, Princeton, NJ
14. Yeh C.-T. A note on trapezoidal approximations of fuzzy numbers. Fuzzy Sets and Systems 158 (2007) 747-754
15. Yeh C.-T. On improving trapezoidal and triangular approximations of fuzzy numbers. International Journal of Approximate Reasoning 48 (2008) 297-313
16. Yeh C.-T. Trapezoidal and triangular approximations preserving the expected interval. Fuzzy Sets and Systems 159 (2008) 1345-1353