An Application of Cooperative Grey Games to Post-Disaster Housing Problem

Document Type: Research Paper

Authors

1 Department of Mathematics, Faculty of Arts and Sciences, Suleyman Demirel University, Isparta, Turkey

2 Department of Business Administration, Faculty of Economics and Administrative Sciences, Suleyman Demirel University, Isparta, Turkey

Abstract

This paper shows that cooperative grey game theory can help us to establish a fair cost share between private organizations for supporting the temporary housing problem by using facility location games under uncertainty. Temporary accommodation may be a method that ought to get started before the tragedy happens, as a preventative pre-planning. In spite of being temporary constructions, the housing buildings are one of the most essential parts to produce in emergency situations, to contribute to the reconstruction and to recover better. Our study is based on a default earthquake in Izmir of western Turkey. A number of tents are being built in the following three cities, Aydin, Usak, and Balikesir near Izmir as illustrated in Figure 1. Two companies are selected, one is local and another is foreign to distribute the tents in a fair way between the three cities. For this purpose, we use cooperative grey game theory to help us to define a fair cost allocation between private organizations for supporting the housing problem by using facility location games under uncertainty.

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Main Subjects


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