Interactive decision making in fuzzy linear optimization problems

Interactive decision making in fuzzy linear optimization problems

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Article ID: iaor19891111
Country: Netherlands
Volume: 41
Issue: 2
Start Page Number: 210
End Page Number: 217
Publication Date: Jul 1989
Journal: European Journal of Operational Research
Authors:
Keywords: fuzzy sets
Abstract:

This paper presents an interactive method for solving a (multi-criteria) linear program, where coefficients of the objective functions and/or of the constraints are known exactly but imprecisely. Assuming (fuzzy) aspiration levels for each of the goals and basing on a comparison of (flat) fuzzy numbers, the original fuzzy problem is transformed into a crisp satisfactory model. To determine a suitable compromise solution we will maximize the minimum of the surpluses over the aspiration levels. This induces a problem with a nonlinear objective function, which is equivalent to a linear program.

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