Climate issues caused by government actions: Fuzzy Mathematics

Document Type : Research Paper

Authors

1 Department of Mathematics, Creighton University, Omaha, USA

2 Department of Mathematics, National Institute of Technology Calicut, Calicut, India

Abstract

The purpose of this paper is to make a connection between fuzzy directed graph theory and social choice theory. Our approach is to accomplish this by considering an application to climate change and government decision makers. Let $N$ be a set of individuals. A fuzzy directed graph is associated with each member of $N.$ The set of vertices is a set of options whose directed edges represent the preference of one issue over the other. The fuzzy directed graphs are combined using a particular fuzzy preference relation. It is then determined under what properties  a subset $C$ of $N$ will be an oligarchy. How regions compare with respect to energy transition, fossil fuel phase out, and country research w.r.t. climate change is also determined.

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