Abstract
In this paper a new class of fuzzy linear programming will be treated. It is supposed that both coefficients of the objective and constraint functions both the unknown decision variables are centered fuzzy numbers of given basis and the min — and max — extended arithmetic operations on the centered fuzzy numbers are defined as in [3]. Using different combinations of the min — and max — operations 8 different fuzzy linear programming problems can be formulated, the optimality conditions of which will be discussed.
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This research has been partially supported by OTKA I/3-2152 (Hungary)
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References
M. Kovács. Linear programming with centered fuzzy numbers. Annales Univ. Set. Budapest, Sectio Comp., 12:159–165, 1991.
M. Kovacs. A stable embedding of ill-posed linear systems into fuzzy systems. Fuzzy Sets and Systems, 45(3):305–312, 1992.
M. Kovacs and L. H. Tran. Algebraic structure of centered M-fuzzy numbers. Fuzzy Sets and Systems, 39(l):91–99, 1991.
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© 1993 Springer Science+Business Media Dordrecht
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KovÁcs, M. (1993). Fuzzy Linear Programming Problems with Min— and Max-Extended Algebraic Operations on Centered Fuzzy Numbers. In: Lowen, R., Roubens, M. (eds) Fuzzy Logic. Theory and Decision Library, vol 12. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2014-2_25
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DOI: https://doi.org/10.1007/978-94-011-2014-2_25
Publisher Name: Springer, Dordrecht
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