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NH-MADM Strategy in Neutrosophic Hesitant Fuzzy Set Environment Based on Extended GRA
Volume 30, Issue 2 (2019), pp. 213–242
Pub. online: 1 January 2019      Type: Research Article      Open accessOpen Access
Received
1 August 2018
Accepted
1 January 2019
Published
1 January 2019

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.

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Biographies

Biswas Pranab
prabiswas.jdvu@gmail.com
paldam2010@gmail.com

P. Biswas obtained his bachelor degree in mathematics and master degree in applied mathematics from University of Kalyani, India. He obtained PhD in science from Jadavpur University, India. His research interests include multiple criteria decision making, aggregation operators, soft computing, optimization, fuzzy set, intuitionistic fuzzy set, neutrosophic set.

Pramanik Surapati
surapati.math@gmail.com

S. Pramanik obtained his BSc and MSc in mathematics from University of Kalyani, Kalyani, India. He received PhD in mathematics from Bengal Engineering and Science University (BESU), Shibpur, India. He is currently an assistant professor of mathematics at the Nandalal Ghosh B. T. College, Panpur, P.O.-Narayanpur, West Bengal, India. He has published more than 100 research papers in international peer reviewed journals. His research interests include optimization, multiple criteria decision making, soft computing, intuitionistic fuzzy set, neutrosophic set, mathematics education.

Giri Bibhas C.
bcgiri.jumath@gmail.com

B.C. Giri is a professor at the Department of Mathematics, Jadavpur University, Kolkata, India. He has published many high-level papers in many international peer-reviewed journals. His current research interests include supply chain management, inventory control theory, multiple criteria decision making, soft computing, optimization.


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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

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