Ranking of interval type 2 fuzzy numbers using correlation coefficient and Mellin transform

Avijit De (), Sujit Das () and Samarjit Kar ()
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Avijit De: Dr. B. C. Roy Engineering College
Sujit Das: National Institute of Technology
Samarjit Kar: National Institute of Technology

OPSEARCH, 2021, vol. 58, issue 4, No 12, 1018-1048

Abstract: Abstract Ranking of fuzzy numbers exhibits a significant role to solve the multiple attributes group decision making (MAGDM) problems. One of the commonly used indices for MAGDM problems is the correlation coefficient. Type-2 fuzzy numbers (T2FNs) are considered to be more effective than type-1 fuzzy numbers (T1FNs) to handle uncertainties in MAGDM problems. Moreover, T2FNs allow additional freedom to reflect uncertainty. In this paper, we propose a new approach to rank the interval type-2 fuzzy numbers (IT2FNs) using the correlation coefficient, where the correlation coefficient is obtained using the Mellin transform. Initially, we define the correlation coefficient for interval type-2 trapezoidal fuzzy numbers (IT2TrFNs) using Mellin transform and prove some of its major features. Then a new group decision-making method has been recommended using the proposed ranking concept. Eventually, three examples are given to demonstrate the usefulness of the suggested method. Finally, a comparative study is conducted to depict the feasibility of the developed ranking technique.

Keywords: MAGDM; Generalized type-2 fuzzy number; Mellin transform; Correlation coefficient (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s12597-020-00504-2

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