Trapezoidal approximations of fuzzy numbers preserving the expected interval - Algorithms and properties

Fuzzy Sets and Systems

Volumn 159, Issue 11, 2008, Pages 1354-1364

  Grzegorzewski, Przemysław ^a,b  

^a SYSTEMS RESEARCH INSTITUTE   (Poland)

^b WARSAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Ambiguity; Approximation of fuzzy numbers; Expected interval; Fuzzy numbers; Value of a fuzzy number; Weighted expected value; Width

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; NUMERICAL METHODS; PROBLEM SOLVING;

EXPECTED INTERVALS; FUZZY NUMBERS; WEIGHTED EXPECTED VALUE;

FUZZY SYSTEMS;

EID: 41549152052     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2007.12.001     Document Type: Article

References (13)

1. Allahviranloo T., and Adabitabar Firozja M. Note on trapezoidal approximations of fuzzy numbers. Fuzzy Sets and Systems 158 (2007) 755-756
2. A. Ban, Approximation of fuzzy numbers by trapezoidal fuzzy numbers preserving the expected interval, Fuzzy Sets and Systems, in press, doi:10.1016/j.fss.2007.09.008.
3. Chanas S. On the interval approximation of a fuzzy number. Fuzzy Sets and Systems 122 (2001) 353-356
4. Delgado M., Vila M.A., and Voxman W. On a canonical representation of a fuzzy number. Fuzzy Sets and Systems 93 (1998) 125-135
5. Dubois D., and Prade H. Operations on fuzzy numbers. Internat. J. Systems Sci. 9 (1978) 613-626
6. Dubois D., and Prade H. The mean value of a fuzzy number. Fuzzy Sets and Systems 24 (1987) 279-300
7. Grzegorzewski P. Metrics and orders in space of fuzzy numbers. Fuzzy Sets and Systems 97 (1998) 83-94
8. Grzegorzewski P., and Mrówka E. Trapezoidal approximations of fuzzy numbers. Fuzzy Sets and Systems 153 (2005) 115-135
9. Grzegorzewski P., and Mrówka E. Trapezoidal approximations of fuzzy numbers-revisited. Fuzzy Sets and Systems 158 (2007) 757-768
10. Heilpern S. The expected value of a fuzzy number. Fuzzy Sets and Systems 47 (1992) 81-86
11. 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
12. Yeh C.T. A note on trapezoidal approximations of fuzzy numbers. Fuzzy Sets and Systems 158 (2007) 747-754
13. C.T. Yeh, Trapezoidal and triangular approximations preserving the expected interval, Fuzzy Sets and Systems, in press, doi:10.1016/j.fss.2007.09.010.