Title: An attempt on neutrosophic multi-attribute decision making based on generalised signed distance method

Authors: Manas Karak; Tuhin Bera; Mahendra Rong; Nirmal Kumar Mahapatra

Addresses: Department of Mathematics, Umeschandra College, 13 Surya Sen Street, Kolkata 700012, WB, India ' Department of Mathematics, Panskura Banamali College, Panskura, RS-721152, WB, India ' Deparment of Mathematics, Bangabasi Evening College, 19 Rajkumar Chakraborty Sarani, Kolkata-9, WB, India ' Department of Mathematics, Panskura Banamali College, Panskura, RS-721152, WB, India

Abstract: Decision making in today's uncertain scenario is the most challenging task for experts. To assist the decision-makers, this study deals with a ranking of neutrosophic number based on the generalised signed distance method. Some important definitions like level-1 neutrosophic points and level (α, β, γ)-neutrosophic intervals are drawn initially. Then a number of properties and theorems on ranking of neutrosophic numbers are developed here. Finally, to establish our theoretical idea on ranking, we consider a real life multi-attribute decision-making problem and find the desired result. After that we make some comparative study of our model with some existing decision-making models.

Keywords: neutrosophic number and its ranking; neutrosophic points; neutrosophic intervals; signed distance method.

DOI: 10.1504/IJMOR.2025.147861

International Journal of Mathematics in Operational Research, 2025 Vol.31 No.3, pp.372 - 396

Received: 18 Sep 2023
Accepted: 21 Sep 2023
Published online: 05 Aug 2025 *

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