The multi-attribute decision making method based on interval-valued intuitionistic fuzzy Einstein hybrid weighted geometric operator

  • Authors:

  • Weize Wang;Xinwang Liu

  • Affiliations:

  • -;-

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2013

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Abstract

This article proposes an approach to multi-attribute decision making (MADM) where individual assessments are provided as interval-valued intuitionistic fuzzy numbers (IVIFNs). Firstly, some Einstein geometric operators on interval-valued intuitionistic fuzzy sets, such as Einstein product, Einstein exponentiation etc., and their characteristics are introduced. Secondly, some Einstein geometric operators, such as the interval-valued intuitionistic fuzzy Einstein weighted geometric operator, interval-valued intuitionistic fuzzy Einstein ordered weighted geometric operator and interval-valued intuitionistic fuzzy Einstein hybrid weighted geometric (IV IFHWG^@e) operator, are developed for aggregating the IVIFNs. Moreover, various properties of these operators are established. Finally, an IV IFHWG^@e operator based approach to MADM under interval-valued intuitionistic fuzzy environments is proposed. An illustrative propulsion/manoeuvring system selection problem is employed to demonstrate how to apply the proposed procedure and verify the feasibility and effectiveness of the developed method.