Journal of Systems Engineering and Electronics ›› 2010, Vol. 21 ›› Issue (6): 990-994.doi: 10.3969/j.issn.1004-4132.2010.06.010

• SYSTEMS ENGINEERING • Previous Articles     Next Articles

Linear goal programming approach to obtaining the weights of intuitionistic fuzzy ordered weighted averaging operator

Yejun Xu1,*, Chao Huang2, Qingli Da3, and Xinwang Liu3   

  1. 1. Business School, Hohai University, Nanjing 210098, P. R. China;
    2. School of Economics and Management, Nanjing University of Information Science and Technology, Nanjing  210044, P. R. China;
    3. School of Economics and Management, Southeast University, Nanjing 210096, P. R. China
  • Online:2010-12-20 Published:2010-01-03

Abstract:

The multiple attribute decision making problems are studied, in which the information about attribute weights is partly known and the attribute values take the form of intuitionistic fuzzy numbers. The operational laws of intuitionistic fuzzy numbers are introduced, and the score function and accuracy function are presented to compare the intuitionistic fuzzy numbers. The intuitionistic fuzzy ordered weighted averaging (IFOWA) operator which is an extension of the well-known ordered weighted averaging (OWA) operator is investigated to aggregate the intuitionistic fuzzy information. In order to determine the weights of intuitionistic fuzzy ordered weighted averaging operator, a linear goal programming procedure is proposed for learning the weights from data. Finally,
an example is illustrated to verify the effectiveness and practicability of the developed method.

Key words: intuitionistic fuzzy set, intuitionistic fuzzy ordered weighted averaging(IFOWA) operator, linear goal programming,
weights,
multiple attribute decision making(MADM)