International Journal of Applied Science and Engineering Research
  • Year: 2014
  • Volume: 3
  • Issue: 1

An analytic approach for interval valued intuitionistic fuzzy MAGDM using maximal entropy OWA weights

  • Author:
  • A Solairaju1,, P John Robinson2, S. Rethina Kumar3
  • Total Page Count: 12
  • Page Number: 220 to 231

1Associate Professor, Department of Mathematics, Jamal Mohamed College, Tiruchirappalli, India

2Assistant Professor, Department of Mathematics, Bishop Heber College, Tiruchirappalli, India

3Assistant Professor, Department of Mathematics, M.I.E.T College of Arts and Science, Tiruchirappalli,

*Corresponding author e-mail: solaijames7@gmail.com

Online published on 15 September, 2014.

Abstract

In this paper, the Multiple Attribute Group Decision Making (MAGDM) problems is based on the attribute weights calculated from completely unknown information using the Maximal Entropy OWA weights. The interval-valued intuitionistic fuzzy ordered weighted averaging (IIFOWA) operator is utilized to aggregate all individual interval-valued intuitionistic fuzzy decision matrices provided by the decision-makers into the collective interval-valued intuitionistic fuzzy decision matrix, and then we use the obtained attribute weights and the interval-valued intuitionistic fuzzy hybrid averaging (IIFHA) operator to fuse the interval-valued intuitionistic fuzzy information in the collective interval-valued intuitionistic fuzzy decision matrix to get the overall interval valued intuitionistic fuzzy values of alternatives, and then rank the alternatives according to the correlation coefficients between the Interval Valued Intuitionistic Fuzzy Numbers (IVIFNs) and select the most desirable alternative.

Keywords

MAGDM, Ordered Weighted Averaging, Hybrid Averaging Operator, Correlation of Interval valued intuitionistic fuzzy sets, Entropy weights