Metric properties of the nearest extended parametric fuzzy number and applications

International Journal of Approximate Reasoning - Tập 52 - Trang 488-500 - 2011
Adrian I. Ban1, Lucian C. Coroianu1
1Department of Mathematics and Informatics, University of Oradea, Universităţii 1, 410087 Oradea, Romania

Tài liệu tham khảo

Abbasbandy, 2006, The nearest trapezoidal form of a generalized left right fuzzy number, International Journal of Approximate Reasoning, 43, 166, 10.1016/j.ijar.2006.04.001 Abbasbandy, 2010, Weighted trapezoidal approximation-preserving cores of a fuzzy number, Computers and Mathematics with Applications, 59, 3066, 10.1016/j.camwa.2010.02.026 Ban, 2008, Approximation of fuzzy numbers preserving the expected interval, Fuzzy Sets and Systems, 159, 1327, 10.1016/j.fss.2007.09.008 Ban, 2009, On the nearest parametric approximation of a fuzzy number-revisited, Fuzzy Sets and Systems, 160, 3027, 10.1016/j.fss.2009.05.001 Ban, 2009, Triangular and parametric approximations of fuzzy numbers-inadvertences and corrections, Fuzzy Sets and Systems, 160, 3048, 10.1016/j.fss.2009.04.003 A. Ban, L. Coroianu, Continuity and additivity of the trapezoidal approximation preserving the expected interval operator, in: Proceedings of the 2009 International Fuzzy Systems Association World Congress, Lisbon, Portugal, pp. 798–802. A.I. Ban, Remarks and corrections to the triangular approximations of fuzzy numbers using α-weighted valuations, Soft Computing. doi:10.1007/s00500-010-0620-0. Björk, 2009, An analytical solution to a fuzzy economic order quantity problem, International Journal of Approximate Reasoning, 50, 485, 10.1016/j.ijar.2008.10.001 Delgado, 1998, On a canonical representation of a fuzzy number, Fuzzy Sets and Systems, 93, 125, 10.1016/S0165-0114(96)00144-3 Dubois, 1978, Operations on fuzzy numbers, International Journal of Systems Science, 9, 613, 10.1080/00207727808941724 Grzegorzewski, 1998, Metrics and orders of fuzzy numbers, Fuzzy Sets and Systems, 97, 83, 10.1016/S0165-0114(96)00322-3 Grzegorzewski, 2005, Trapezoidal approximations of fuzzy numbers, Fuzzy Sets and Systems, 153, 115, 10.1016/j.fss.2004.02.015 Grzegorzewski, 2007, Trapezoidal approximations of fuzzy numbers-revisited, Fuzzy Sets and Systems, 158, 757, 10.1016/j.fss.2006.11.015 P. Grzegorzewski, K. Pasternak-Winiarska, Bi-symmetrically weighted trapezoidal approximations of fuzzy numbers, in: Proceedings of the 2009 Ninth International Conference on Intelligent Systems Design and Applications, Pisa, Italy, pp. 318–323. P. Grzegorzewski, K. Pasternak-Winiarska, Weighted trapezoidal approximations of fuzzy numbers, in: Proceedings of the 2009 International Fuzzy Systems Association World Congress, Lisbon, Portugal, pp. 1531–1534. P. Grzegorzewski, Algorithms for trapezoidal approximations of fuzzy numbers preserving the expected interval, in: B. Bouchon-Meunier et al., (Eds.), Foundations of Reasoning under Uncertainty, Studies in Fuzziness and Soft Computing, vol. 249, Springer, Berlin/Heidelberg, 2010, pp. 85–98. Heilpern, 1992, The expected value of a fuzzy number, Fuzzy Sets and Systems, 47, 81, 10.1016/0165-0114(92)90062-9 Nasibov, 2008, On the nearest parametric approximation of a fuzzy number, Fuzzy Sets and Systems, 159, 1365, 10.1016/j.fss.2007.08.005 Rudin, 1986 Vijayan, 2009, Fuzzy economic order time models with random demand, International Journal of Approximate Reasoning, 50, 529, 10.1016/j.ijar.2008.11.002 Yeh, 2007, A note on trapezoidal approximations of fuzzy numbers, Fuzzy Sets and Systems, 158, 747, 10.1016/j.fss.2006.11.017 Yeh, 2008, Trapezoidal and triangular approximations preserving the expected interval, Fuzzy Sets and Systems, 159, 1345, 10.1016/j.fss.2007.09.010 Yeh, 2008, On improving trapezoidal and triangular approximations of fuzzy numbers, International Journal of Approximate Reasoning, 48, 297, 10.1016/j.ijar.2007.09.004 Yeh, 2009, Weighted trapezoidal and triangular approximations of fuzzy numbers, Fuzzy Sets and Systems, 160, 3059, 10.1016/j.fss.2009.05.008 Zeng, 2007, Weighted triangular approximation of fuzzy numbers, International Journal of Approximate Reasoning, 46, 137, 10.1016/j.ijar.2006.11.001