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TOPSIS Method for Neutrosophic Hesitant Fuzzy Multi-Attribute Decision Making
Volume 31, Issue 1 (2020), pp. 35–63
Pub. online: 23 March 2020      Type: Research Article      Open accessOpen Access
Received
1 May 2019
Accepted
1 September 2019
Published
23 March 2020

Abstract

Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) is a very common and useful method for solving multi-criteria decision making problems in certain and uncertain environments. Single valued neutrosophic hesitant fuzzy set (SVNHFS) and interval neutrosophic hesitant fuzzy set (INHFS) are developed on the integration of neutrosophic set and hesitant fuzzy set. In this paper, we extend TOPSIS method for multi-attribute decision making based on single valued neutrosophic hesitant fuzzy set and interval neutrosophic hesitant fuzzy set. Furthermore, we assume that the attribute weights are known, incompletely known or completely unknown. We establish two optimization models for SVNHFS and INHFS with the help of maximum deviation method. Finally, we provide two numerical examples to validate the proposed approach.

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Biographies

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 international peer-reviewed journals. His current research interests include supply chain management, inventory theory, multiple criteria decision making, soft computing, and optimization.

Molla Mahatab Uddin
mahatab.jumath@gmail.com

M.U. Molla is a junior research fellow at the Department of Mathematics, Jadavpur University, Kolkata. He obtained his BSc and MSc in Mathematics from University of Calcutta. His research interests include multiple criteria decision making, fuzzy set, intuitionistic fuzzy set, and neutrosophic set.

Biswas Pranab
prabiswas.jdvu@gmail.com

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


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© 2020 Vilnius University
Open access article under the CC BY license.

Keywords
hesitant fuzzy set neutrosophic set single valued neutrosophic hesitant fuzzy set interval neutrosophic hesitant fuzzy set multi-attribute decision making TOPSIS

Funding
This research was supported by the Council of Scientific and Industrial Research (CSIR), Govt. of India, File No. 09/096(0945)/2018-EMR-I.

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