Duality in Fuzzy Multiple Objective Linear Programming

Jaroslav Ramík (jaroslav.ramik@vsb.cz)
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Jaroslav Ramík: VSB - Technical University Ostrava

A chapter in Operations Research Proceedings 2005, 2006, pp 243-250 from Springer

Abstract: 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.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:oprchp:978-3-540-32539-0_39

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DOI: 10.1007/3-540-32539-5_39

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