NH-MADM Strategy in Neutrosophic Hesitant Fuzzy Set Environment Based on Extended GRA

Article type: Research Article

Authors: Biswas, Pranab^{1; *} | Pramanik, Surapati² | Giri, Bibhas C.³

Affiliations: [1] Department of Mathematics, Jadavpur University, Kolkata–700032, West Bengal, India | [2] Department of Mathematics, Nandalal Ghosh B.T College, Panpur, Narayanpur 743126, West Bengal, India | [3] Department of Mathematics, Jadavpur University, Kolkata–700032, West Bengal, India. E-mails: prabiswas.jdvu@gmail.com, paldam2010@gmail.com, surapati.math@gmail.com, bcgiri.jumath@gmail.com

Correspondence: [*] Corresponding author.

Abstract: Neutrosophic hesitant fuzzy set (NHFS) is a convincing tool that deals with uncertain information. In this paper, we propose an NH-MADM strategy for solving MADM with NHFSs based on extended GRA. We assume that the information of attributes is partially known or completely unknown. We develop two models to determine the weights of attributes. Then we rank the alternatives based on the strategy. Further, we extend the strategy into MADM in interval neutrosophic hesitant fuzzy set environment which we call INH-MADM strategy. Finally, we provide two illustrative examples to show the validity and effectiveness of the proposed strategies.

Keywords: single-valued neutrosophic set, hesitant fuzzy set, single-valued neutrosophic hesitant fuzzy set, interval neutrosophic hesitant fuzzy set, multi-attribute decision making, grey relational analysis

Journal: Informatica, vol. 30, no. 2, pp. 213-242, 2019