Scientia Iranica

Scientia Iranica

Some improved interactive aggregation operators under interval-valued intuitionistic fuzzy environment and its application to decision making process

Document Type : Research Article

Authors
Harish Garg 1
Nikunj Agarwal 2
Alka Tripathi 2
1 School of Mathematics, Thapar University Patiala 147004, Punjab, India
2 Department of Mathematics, Jaypee Institute of Information and Technology Noida - 201307, U.P., India
10.24200/sci.2017.4386
Abstract
The objective of this manuscript is to present an improved aggregator operator by taking into account
the effect of an unknown degree (hesitancy degree) in an interval-valued intuitionistic fuzzy
sets (IVIFSs) environment. For this, firstly the shortcoming of the existing operators is addressed
and then some improved operational laws on IVIFSs have been introduced. Based on these laws, an
aggregation operator, namely an interval-valued intuitionistic fuzzy Hamacher interactive weighted
averaging (IVIFHIWA), ordered weighted averaging (IVIFHIOWA) and hybrid weighted averaging
(IVIFHIHWA), have been proposed. Various properties related to these operators are also investigated.
Furthermore, based on these operators, an approach to deal with multi-criteria decision
making (MCDM) problem is developed. Finally, a practical example is provided to illustrate the
decision making process.
Keywords
MCDM
interval-valued intuitionistic fuzzy set
Aggregation operator
Hamacher operations
Subjects
Scientia Iranica
Volume 24, Issue 5
Transactions on Industrial Engineering (E)
September and October 2017
Pages 2581-2604

  • Receive Date 22 November 2015
  • Revise Date 02 June 2016
  • Accept Date 16 August 2016