A novel divergence measure and its based TOPSIS method for multi criteria decision-making under single-valued neutrosophic environment

Article type: Research Article

Authors: Nancy, | Garg, Harish^{; *}

Affiliations: School of Mathematics, Thapar Institute of Engineering & Technology (Deemed University), Patiala, Punjab, India

Correspondence: [*] Corresponding author. Harish Garg, School of Mathematics, Thapar Institute of Engineering & Technology (Deemed University), Patiala, Punjab, India. Tel.: +91 8699031147; E-mail: harish.garg@thapar.edu, http://sites.google.com/site/harishg58iitr/

Abstract: The theme of this work is to present an axiomatic definition of divergence measure for single-valued neutrosophic sets (SVNSs). The properties of the proposed divergence measure have been studied. Further, we develop a novel technique for order preference by similarity to ideal solution (TOPSIS) method for solving single-valued neutrosophic multi-criteria decision-making with incomplete weight information. Finally, a numerical example is presented to verify the proposed approach and to present its effectiveness and practicality.

Keywords: Single-valued Neutrosophic set, Divergence measure, TOPSIS, multi criteria decision-making

DOI: 10.3233/JIFS-18040

Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 1, pp. 101-115, 2019