MCDM'05 - paper no. 13

 

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Duality in fuzzy multiple objective linear programming with possibility and necessity relations

Jaroslav Ramík

Abstract:

In the paper Duality in Fuzzy Multiple Objective Linear Programming with Possibility and Necessity Relations (J. Ramik) a class of fuzzy multiple objective linear programming (FMOLP) problems with fuzzy coefficients based on fuzzy relations is introduced. The concepts of feasible and (?,?) - maximal and minimal solutions are defined. The class of crisp (classical) multiple objective linear programming (MOLP) problems can be embedded into the class of FMOLP. Moreover, for FMOLP problems a new concept of duality is introduces and the weak and strong duality theorems are derived. The concepts and results introduced in the paper are illustrated and discussed on a simple numerical example.

Reference index:

Jaroslav Ramík, (2006), Duality in fuzzy multiple objective linear programming with possibility and necessity relations, Multiple Criteria Decision Making (1), pp. 201-224

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