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Duality in Fuzzy Multiple Objective Linear Programming

In: Operations Research Proceedings 2005

Author

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  • Jaroslav Ramík

    (VSB - Technical University Ostrava)

Abstract

A class of fuzzy multiple objective linear programming (FMOLP) problems with fuzzy coefficients based on fuzzy relations is introduced, the concepts of feasible and (alpha,beta)-maximal and minimal solutions are defined. The class of crisp (classical) MOLP problems can be embedded into the class of FMOLP ones. Moreover, for FMOLP problems a new concept of duality is introduced and the weak and strong duality theorems are derived.

Suggested Citation

  • Jaroslav Ramík, 2006. "Duality in Fuzzy Multiple Objective Linear Programming," Operations Research Proceedings, in: Hans-Dietrich Haasis & Herbert Kopfer & Jörn Schönberger (ed.), Operations Research Proceedings 2005, pages 243-250, Springer.
    • Handle: RePEc:spr:oprchp:978-3-540-32539-0_39
    DOI: 10.1007/3-540-32539-5_39
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