The quasi-arithmetic triangular fuzzy OWA operator based on Dempster-Shafer theory

  • Authors:

  • Wei Yang;Yongfeng Pang

  • Affiliations:

  • Department of Mathematics, School of Science, Xi'an University of Architecture and Technology, Xi'an, Shaanxi, P.R. China;Department of Mathematics, School of Science, Xi'an University of Architecture and Technology, Xi'an, Shaanxi, P.R. China

  • Venue:
  • Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
  • Year:
  • 2014

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Abstract

The belief structure quasi-arithmetic triangular fuzzy ordered weighted averaging BS-QTFOWA operator is developed by extending the quasi-arithmetic ordered weighted averaging operator to accommodate triangular fuzzy values by using Dempster-Shafer theory of evidence. The characteristics of the proposed operator are as follows: triangular fuzzy values are used to depict uncertain and fuzzy information; Dempster-Shafer theory of evidence is used to model uncertainty existing in the knowledge of attributes; quasi-arithmetic ordered weighted averaging operator is used to aggregate evaluation values, which can provide decision maker a complete view of the decision problem. The special cases of the BS-QTFOWA operator are analyzed and the properties of it are studied. A new multiple attribute decision making method based on the new operator is presented to aggregate triangular fuzzy information. Finally, a numerical example of supplier selection problem is given to illustrate the flexibility and practical advantages of our new decision making method.