Abstract
Inequality relations between resources, represented by fuzzy numbers, are investigated in the first part of this paper. The concept of an R-relation and L-relation is introduced. An optimal allocation problem with fuzzy parameters is then stated and by the use of the extension principle a fuzzy optimal solution is defined and investigated. For trapezoidal fuzzy numbers the problem can be transformed into a linear programming one as is demonstrated on a simple example.
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© 1987 Springer Science+Business Media Dordrecht
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Ramik, J., Řimánek, J. (1987). Fuzzy Parameters in Optimal Allocation of Resources. In: Kacprzyk, J., Orlovski, S.A. (eds) Optimization Models Using Fuzzy Sets and Possibility Theory. Theory and Decision Library, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3869-4_24
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DOI: https://doi.org/10.1007/978-94-009-3869-4_24
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8220-4
Online ISBN: 978-94-009-3869-4
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