Fuzzy Optimization and Decision Making

, Volume 9, Issue 2, pp 123–141 | Cite as

A method for solving fuzzy multicriteria decision problems with dependent criteria

  • Jaroslav Ramík
  • Radomír Perzina


We propose a new multi-criteria decision making (MCDM) method based on fuzzy pair-wise comparisons and a feedback between the criteria. The evaluation of the weights of criteria, the variants as well as the feedback between the criteria is based on the data given in pair-wise comparison matrices. Extended arithmetic operations with fuzzy numbers are used as well as ordering fuzzy relations to compare fuzzy outcomes. An illustrating numerical example is presented to clarify the methodology. A special SW-Microsoft Excel add-in named FVK was developed for applying the proposed method. Comparing to other software products, FVK is free, able to work with fuzzy data and utilizes capabilities of widespread spreadsheet Microsoft Excel.


Multi-criteria decision making Analytic hierarchy process Pair-wise comparisons Feedback Fuzzy numbers 


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© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of Mathematical Methods in Economics, School of Business Administration in KarvináSilesian University in OpavaKarvináCzech Republic

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