An improved method on group decision making based on interval-valued intuitionistic fuzzy prioritized operators

Ya Li, Yong Deng, Tung Sun Chan, Juan Liu, Xinyang Deng

Research output: Journal article publicationJournal articleAcademic researchpeer-review

23 Citations (Scopus)

Abstract

Interval-valued intuitionistic fuzzy prioritized operators are widely used in group decision making under uncertain environment due to its flexibility to model uncertain information. However, there is a shortcoming in the existing aggregation operators (interval-valued intuitionistic fuzzy prioritized weighted average (IVIFPWA)) to deal with group decision making in some extreme situations. For example, when an expert gives an absolute negative evaluation, the operators could lead to irrational results, so that they are not effectively enough to handle group decision making. In this paper, several examples are illustrated to show the unreasonable results in some of these situations. Actually, these unreasonable cases are common for operators in dealing with product averaging, not only emerging in IVIFPWA operators. To overcome the shortcoming of these kinds of operators, an improvement of making slight adjustment on initial evaluations is provided. Numerical examples are used to show the efficiency of the improvement.
Original languageEnglish
Pages (from-to)2689-2694
Number of pages6
JournalApplied Mathematical Modelling
Volume38
Issue number9-10
DOIs
Publication statusPublished - 1 May 2014

Keywords

  • Aggregation operator
  • Interval-valued intuitionistic fuzzy prioritized weighted average (IVIFPWA) operator
  • Interval-valued intuitionistic fuzzy set
  • Multi-criteria group decision making

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics

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