Interval-valued Trapezoidal Intuitionistic Fuzzy Generalized Aggregation Operators and Application to Multi-attribute Group Decision Making

Authors

1 College of Information Technology, Jiangxi University of Finance and Economics, Nanchang, 330013, China

2 College of Statistics, Jiangxi University of Finance and Economics, Nanchang, 330013, China

Abstract

Aninterval-valued trapezoidal intuitionistic fuzzy number (IVTrIFN) is a special case of an intuitionistic fuzzy set (IFS), which is defined on the real number set. From a viewpoint of geometric, the expectation and expectant score of an IVTrIFN are defined by using the notion of barycenter, and a new method is developed to rank IVTrIFNs. Hereby, some generalized aggregation operators of IVTrIFNs are defined, including the generalized ordered weighted averaging operator of IVTrIFNs and the generalized hybrid weighted averaging operator of IVTrIFNs, and employed to solve multi-attribute group decision making problems with IVTrIFNs. Through using the weighted average operator of IVTrIFNs, the attribute values of alternatives are integrated into the individual comprehensiveratings, which are further aggregated into the collective one by the generalized hybrid weighted averaging operator of IVTrIFNs. The ranking orders of alternatives are then generated according to the expectation and expectant score of the collective comprehensiveratings of alternatives. A numerical example is examined to demonstrate applicability and implementation process of the decision method proposed in this paper.

Keywords

Scientia Iranica
Volume 22, Issue 6 - Serial Number 6
Transactions on Industrial Engineering (E)
December 2015
Pages 2702-2715

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History

  • Receive Date: 14 March 2015
  • Revise Date:
  • Accept Date: 27 July 2017

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