Title
A Multicriteria Decision-Making Approach Based on Fuzzy AHP with Intuitionistic 2-Tuple Linguistic Sets
Abstract
AbstractIn the modern literature related to linguistic decision-making, the 2-tuple linguistic representation model and its useful applications in various fields have been extensively studied and used during the last decade. Recently, some useful multicriteria decision-making (MCDM) methods have been introduced based on fuzzy analytic hierarchy process (AHP) for 2-tuple linguistic representation model. By keeping in mind the importance of this linguistic model, in this paper, we introduce a fuzzy AHP methodology for intuitionistic 2-tuple linguistic sets (I2TLSs) which is a useful extension of the 2-tuple linguistic representation model. This study is comprised of four stages. In the first stage, we define some operational laws for I2TL elements (I2TLEs) and prove some related important properties. In the second stage, intuitionistic 2-tuple linguistic preference relation (I2TLPR) and multiplicative I2TLPR are defined using I2TLSs. In the 3rd stage, a transformation mechanism is introduced which can transform an I2TLPR to a corresponding intuitionistic preference relation (IPR) and vice versa. In the fourth stage, an approach is proposed for checking the consistency of an I2TLPR and presented a method to repair the inconsistent one by using the proposed transformation mechanism. Finally, a numerical example is given and comparative analysis is carried out with the TOPSIS method to verify the validity of the proposed method.
Year
DOI
Venue
2018
10.1155/2018/5789192
Periodicals
Field
DocType
Volume
Preference relation,Multiple-criteria decision analysis,Multiplicative function,Tuple,TOPSIS,Fuzzy analytic hierarchy process,Linguistics,Analytic hierarchy process,Mathematics,Fuzzy ahp
Journal
2018
Issue
ISSN
Citations 
1
1687-7101
0
PageRank 
References 
Authors
0.34
28
3
Name
Order
Citations
PageRank
Shahzad Faizi1171.37
Tabasam Rashid225519.40
Sohail Zafar3223.17