5.12 Conclusion
In this chapter we have proposed a new general approach to fuzzy single and multicriteria linear programming problems with fuzzy coefficients. A unifying concept of this approach is the concept of a fuzzy relation, particularly fuzzy extension of the inequality or equality relation and the concept of an aggregation operator.
We have formulated the FLP problem, defined a feasible solution of the FLP problem and dealt with the problem of “optimal solution” of FLP problems. Two approaches have been introduced: the satisficing solution based on externalgoals modeled by fuzzy quantities, and the α-efficient (nondominated) solution. Then our interest has been focused on the problem of duality in FLP. Finally, we have also dealt with the multicriteria case. We have formulated a fuzzy multicriteria linear programming problem, defined a compromise solution and derived basic results. The chapter has been closed with a numerical example.
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Ramík, J. (2006). Fuzzy linear optimization. In: Linear Optimization Problems with Inexact Data. Springer, Boston, MA. https://doi.org/10.1007/0-387-32698-7_5
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DOI: https://doi.org/10.1007/0-387-32698-7_5
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