Fuzzy Logic and Modeling in Engineering 2666-2957/22 $65.00+.00 © 2022 Bentham Science Publishers 11 Kousik Bhattacharya 1 , Sujit Kumar De 1* and Prasun Kumar Nayak 1 1 Department of Mathematics, Midnapore College (Autonomous), Midnapore, India Abstract: Background: In this article we develop a global warming indicator model under fuzzy system. It is the light of the sun that environmental pollution is responsible for the cause and imme- diate effect of global warming. Limited amount of oxygen in the air, continuous decrease of fresh water volume, more especially the amount of drinking water and the rise of temperature of the globe are the major symptoms (variants) of global warming. Thus, to capture the facts we need to develop a mathematical model which has not yet been developed by the earlier researchers. Introduction: An efficient literature survey has been done over the three major parameters of the environment namely oxygen, fresh water and surface temperature exclusively. In fact we have ac- cumulated 150 years-data structure of these major components and have analyzed them under fuzzy system. Methods: First of all, we gave few definitions on fuzzy set. Utilizing the data set we have construct- ed appropriate membership functions of the three major components of the environment. Then ap- plying goal programming problem, we have constructed a fuzzy global warming indicator (GWI) model subject to some goal constraints with respective priority vectors (Scenario 1 and Scenario 2). An extension has also been included for multi-valued goal programming problem and numerical illustrations have been done with the help of LINGO software. Results: Numerical study reveals that the GWI takes maximum and minimum values in a decreasing manner as time increases. It is seen that for scenario 1, the global environmental system will attain its stability after 30 years by degrading 31% of GWI with respect to present base line. For scenario 2, after the same time the global environmental system will attain its stability quite slowly by de- grading 28% of GWI with respect to present base line. Conclusion: Here we have studied a mathematical model of global warming first time using fuzzy system. No other mathematical models have been found existing in the literature. Thus, the basic novelty lies in a robust decision-making approach which showed the expected time of extinction of major species in this world. However, extensive study on data analytics over major environmental components can tell the stability of the global warming indicator and hence the future fate of the globe also. A R T I C L E H I S T O R Y Received: Feb 24, 2020 Revised: August 13, 2020 Accepted: November 3, 2020 DOI: 10.2174/2666294901999201222150703 Keywords: Global warming, goal programming, model development, fuzzy systems, decision making, LINGO. 1. INTRODUCTION 1.1. Background Most researchers address global warming by considering numerous parameters associated with Physics and Chemistry disciplines. But in this article, we are going to study those parameters which have a significant responsibility towards global warming. These parameters are associated with the amount of oxygen in the worldwide atmosphere, water scar- city and the hike of global average surface (atmospheric) *Address correspondence to this author at the Department of Mathematics, Midnapore College (Autonomous), India; E-mail: skdemamo2008.com@gmail.com temperature. Now the existing knowledge over global warm- ing can be viewed under three major components as follows. A recent study reveals that global average temperature is currently increasing by 0.2 degree Celsius per decade. How- ever, it is estimated that Earth’s average temperature is in- creased by 1 degree Celsius (approx.) from the pre-industrial period (between 1850 and 1900) due to human activities such as fossil fuel burning, deforestation, excessive use of ground water etc. These activities are solely responsible for heat trapping greenhouse gases in the atmosphere of the Earth. The most dangerous effect of global warming is the challenge of surviving the human race and some other ani- mal species due to the degradation of oxygen, scarcity of drinking water, increased sea level and hike of air tempera- Send Orders for Reprints to reprints@benthamscience.net Fuzzy Logic and Modeling in Engineering, 2022, 1, e010621189358 RESEARCH ARTICLE A Robust Fuzzy Decision Making on Global Warming