Fuzzy Mathematical Programming
International series in management science/operations research/International series in operations research & management sciencePublished 1 January 1997
Hans-Jürgen Zimmermann
Citations345
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Abstract
This chapter introduces a type of mathematical programming, in which not all constraints have to be crisp, i.e. in which certain violations of the constraints are tolerable. Also the goals do not have to be maximized or minimized as in classical mathematical programming, they are substituted by aspiration levels, that have to be met as well as possible. Sensitivity analysis and parametric programming are involved in two ways. Since different kinds of constraints exist in fuzzy linear programming sensitivity analysis becomes more complicated and can lead to additional insights. Parametric programming can be used to arrive at a fuzzy set "decision", starting from a crisp maximizing decision.
Keywords
Decision SciencesMathematicsEngineering
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