A note on trapezoidal approximations of fuzzy numbers

Fuzzy Sets and Systems

Volumn 158, Issue 7, 2007, Pages 747-754

  Yeh, Chi Tsuen ^a  

^a NATIONAL UNIVERSITY OF TAINAN   (Taiwan)

Author keywords

Centroid point; Distance; Linear operator; Trapezoidal approximation

Indexed keywords

APPROXIMATION THEORY; FUZZY SETS; MATHEMATICAL OPERATORS;

APPROXIMATION OPERATORS; CENTROID POINT; FUZZY NUMBERS; LINEAR OPERATOR; TRAPEZOIDAL APPROXIMATIONS;

NUMBER THEORY;

EID: 33846880856     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2006.11.017     Document Type: Article

References (21)

1. Abbasbandy S., and Amirfakhrian M. The nearest trapezoidal form of a generalized left right fuzzy number. Internat. J. Approx. Reason. 43 (2006) 166-178
2. Abbasbandy S., and Amirfakhrian M. The nearest approximation of a fuzzy quantity in parametric form. Appl. Math. Comput. 172 (2006) 624-632
3. Abbasbandy S., and Asady B. The nearest trapezoidal fuzzy number to a fuzzy quantity. Appl. Math. Comput. 156 (2004) 381-386
4. Abbasbandy S., and Asady B. Ranking of fuzzy numbers by sign distance. Inform. Sci. 176 (2006) 2405-2416
5. Bradley G.L., and Smith K.J. Calculus (1999), Prentice-Hall, Englewood Cliffs, NJ
6. Chanas S. On the interval approximation of a fuzzy number. Fuzzy Sets and Systems 122 (2001) 353-356
7. Cheng C.H. A new approach for ranking fuzzy numbers by distance method. Fuzzy Sets and Systems 95 (1998) 307-317
8. Chu T.C., and Tsao C.T. Ranking fuzzy numbers with an area between the centroid point and original point. Comput. Math. Appl. 43 (2002) 111-117
9. Delgado M., Vila M.A., and Voxman W. On a canonical representation of fuzzy number. Fuzzy Sets and Systems 93 (1998) 125-135
10. Diamond P., and Kloeden P. Metric spaces of fuzzy sets. Fuzzy Sets and Systems 35 (1990) 241-249
11. Dubois D., and Prade H. Operations on fuzzy number. Internat. J. Systems Sci. 9 (1978) 613-626
12. Dubois D., and Prade H. The mean value of a fuzzy number. Fuzzy Sets and Systems 24 (1987) 279-300
13. Grzegorzewski P. Metrics and orders in space of fuzzy numbers. Fuzzy Sets and Systems 97 (1998) 83-94
14. Grzegorzewski P. Nearest interval approximation of a fuzzy number. Fuzzy Sets and Systems 130 (2002) 321-330
15. Grzegorzewski P., and Mrówka E. Trapezoidal approximations of fuzzy numbers. Fuzzy Sets and Systems 153 (2005) 115-135
16. Hassine R., Karray F., Alimi A.M., and Selmi M. Approximation properties of piece-wise parabolic functions fuzzy logic systems. Fuzzy Sets and Systems 157 (2006) 501-515
17. Heilpern S. The expected value of a fuzzy number. Fuzzy Sets and Systems 47 (1992) 81-86
18. Jimenez M., and Rivas J.A. Fuzzy number approximation. Internat. J. Uncertain. Fuzziness and Knowledge-Based Systems 6 (1998) 68-78
19. Ma M., Kandel A., and Friedman M. A new approach for defuzzification. Fuzzy Sets and Systems 111 (2000) 351-356
20. Rudin W. Real and Complex Analysis (1986), McGraw-Hill, New York
21. Wang Y.M., Yang J.B., Xu D.L., and Chin K.S. On the centroids of fuzzy numbers. Fuzzy Sets and Systems 157 (2006) 919-926