Abstract
In this paper,we have presented a simple ranking method,which associated an intuitive geometrical representation:the area compensation,then a new fuzzy order relation between fuzzy numbers is defined. According to the new order, we can transform the fuzzy linear programming with fuzzy variables into the two-stage multiple objective linear programming,then the solving method is given.
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References
Zimmerman, H.-J.: Fuzzy Set Theory-and Its Applications. Kluwer-Nijhoff Publishing, Dordrecht (1985)
Luo, C.-z.: Fuzzy set. Beijing Normal University Press, Beijing (1989)
Li, F.: Fuzzy information disposal system. Beijing university press, Beijing (1997)
Yi-Jin, Qing-li Da, Nan-rong Xu: Study of the multiobjective fuzzy linear programming problem with fuzzy variables. Journal of Systems Engineering 10(2), 24-32 (1995)
Li, X.-z., Zhang, Q.-d.: Fuzzy linear programming problems with fuzzy variables and fuzzy constraints. Journal of Liaocheng Teachers University 11(1), 7–11 (1998)
Yao, J.-s., Wu, K.: Ranking fuzzy numbers based on decomposition principle and signed distance. Fuzzy Sets and Systems 116, 275–288 (2000)
Fortemps, P., Roubens, M.: Ranking and defuzzificaton methods based on area compensation. Fuzzy Sets and Systems 82, 319–330 (1996)
Maleki, H.R., Tata, M., Mashinchi, M.: Linear programming with fuzzy variables. Fuzzy Sets and Systems 109, 21–33 (2000)
Zhong, Q., Wang, G.-y.: On solutions and distribution problems of the linear programming with fuzzy random variables coefficients. Fuzzy Sets and Systems 58, 155–170 (1993)
Liu, H.-w.: Hua-wen Liu Comparison of fuzzy numbers based on a fuzzy distance measure. Shandong University Transaction 39(2), 31–36 (2004)
Liu, X.-w., Da, Q.-l.: The solution for fuzzy linear programming with constraint satisfactory function. Journey of Systems Engineering 13(3), 36–40 (1998)
Tran, L., Duckstein, L.: Comparison of fuzzy numbers using a fuzzy distance measure. Fuzzy Set and Systems 130, 331–341 (2002)
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© 2007 Springer-Verlag Berlin Heidelberg
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Zhu, Zx., Cao, By. (2007). The Area Compensation Method About Fuzzy Order and Its Application. In: Cao, BY. (eds) Fuzzy Information and Engineering. Advances in Soft Computing, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71441-5_56
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DOI: https://doi.org/10.1007/978-3-540-71441-5_56
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-71440-8
Online ISBN: 978-3-540-71441-5
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