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Duality in Fuzzy Multiple Objective Linear Programming

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Operations Research Proceedings 2005

Part of the book series: Operations Research Proceedings ((ORP,volume 2005))

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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.

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Author information

Authors and Affiliations

  1. Department of Mathematical Methods in Economics Faculty of Economics, VSB - Technical University Ostrava, Czech Republic

    Jaroslav Ramík

Authors
  1. Jaroslav Ramík
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Editor information

Editors and Affiliations

  1. Institute of Shipping Economics and Logistics Dept. Logistics Systems, University of Bremen, Universitätsallee GW1 Block A, 28359, Bremen, Germany

    Hans-Dietrich Haasis

  2. Faculty of Business Studies and Economics Chair of Logistics, University of Bremen, PO Box 33 04 40, 28334, Bremen, Germany

    Herbert Kopfer  & Jörn Schönberger  & 

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© 2006 Springer-Verlag Berlin Heidelberg

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Ramík, J. (2006). Duality in Fuzzy Multiple Objective Linear Programming. In: Haasis, HD., Kopfer, H., Schönberger, J. (eds) Operations Research Proceedings 2005. Operations Research Proceedings, vol 2005. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-32539-5_39

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