A compromise weight for multi-criteria group decision making with individual preference

Q. Wei, Hong Yan, J. Ma, Z. Fan

Research output: Journal article publicationJournal articleAcademic researchpeer-review

30 Citations (Scopus)


In a multi-criteria group decision making process, it is often hard to obtain a solution due to the possible conflict preferences from different participants and the undeterministic weights assigned to each criterion. This problem can be defined as to identify a set of weights for the given criteria to achieve a compromise of the conflict on different preferences. When such a compromise weight does not exist, we need to adjust (to reverse or to withdraw) some or all of the preferences from different participants. This paper describes a minimax principle based procedure of preference adjustments with a finite number of steps to find the compromise weight. At each iteration, we either find the weight or identify some ‘wrong’ preferences. We also define a consistency index for each participant to measure the distance between the individuals’ preference and the final group decision. Corresponding theoretical work is referred to in support of the procedure, and numerical examples are provided for illustration. This study is further extended to the case of multiple assessments.
Original languageEnglish
Pages (from-to)625-634
Number of pages10
JournalJournal of the Operational Research Society
Issue number5
Publication statusPublished - 1 Jan 2000


  • Compromise weight
  • Group decision making
  • Preference order

ASJC Scopus subject areas

  • Management Information Systems
  • Strategy and Management
  • Management Science and Operations Research
  • Marketing


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