Asia Mathematika, Vol 9, issue 3, pages: 74--91.

Selection of damage prone area induced by a cyclone in Indian subcontinent: Dominance rule based approach in neutrosophic arena

T. Bera and N. K. Mahapatra
Department of Mathematics, Panskura Banamali College (Autonomous), Panskura RS-721152, WB, India.

Received: 12 Nov 2025 | Accepted: 15 Dec 2025 | Final Version: 31 Dec 2025

Abstract

In recent year, there was occurred a number of cyclonic storms in several countries adjacent to ocean and sea in Indian subcontinent resulting the devastating impact in social life and atmosphere. The basic motivation of this attempt is to set a mathematical framework to predict the severity of damage occurred by a cyclone likely to be blown over an area under this region. It will assist the administration, responsible authority and the concerned residents to be alert to make some prior manipulations to combat strongly with the post storm period. The entire work consists of two key parts. First part talks about a number of relevant parameters which affect the prediction mostly. But due to incomplete and imprecise information, this prediction may be uncertain by nature. So in second part, the possible damage of an area is characterized categorically in the parlance of the set of parameters considered here, and this characterization is explored by neutrosophic soft set in order to look after the indeterminacy and inconsistency of decision makers in setting of data more precisely. Based on the subjection and domination rule of parameters, the methodology is furnished. An efficient algorithm is designed for that, and it is demonstrated practically. A strong validation is drawn after performing the rigorous analysis of outcome on existing frames.

Keywords:
Neutrosophic soft set; Wind speed; Domination rule; Storm disaster.

1. Introduction

With the passage of time, there is a noteworthy advancement of human civilization with the development of science and technology. The life style of mankind has changed significantly and it goes towards in a progressive state. This situation demands a strong financial requirement and it calls upon the utilization of natural resources in unsustainable ways. Then our environment's stability is being degraded and its impact is being seen rudely. Raising emission level of carbon dioxide and other greenhouse gases in the atmosphere through the burning of fossil fuels and other human activities increase the temperature globally: the surface of land, sea, and entire environment. Thus the climate of Earth is being changed, and this may call a possibility to alter the numbers, intensity, or paths of tropical cyclones worldwide. Also different kinds of natural calamities occur frequently in recent time, and it is till out of capability of human beings to control and resist these. We can only take the precautions and build up the post disaster management in a proficient manner from our past experiences...

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