Advertisement
Published in:
2006 | OriginalPaper | Chapter
Fuzzy linear optimization
Author : J. Ramík
Published in: Linear Optimization Problems with Inexact Data
Publisher: Springer US
Activate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
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.