Facility location problem using the concept of double domination in m-polar interval-valued fuzzy graph

Abstract

Graph theory plays a crucial role in the era of computer science, medical science and information technology. The fundamental motivation behind this paper is to present some availability ideas in the m polar interval-valued fuzzy graph (m-PIVFG), which are utilized to portray the interval of the uncertainty of items. What’s more, the m-PIVFG graphs are utilized to portray the underlying connection between ideas in which the vertices and edges are of multi-poles and in the form of interval values to feature the uncertainty conditions. The dominating set involves a basic situation in graph analysis. This paper essentially adds to expanding the idea of double domination in the fuzzy graph to the m-PIVFG and getting the related extended ideas of m-PIVFG. In the interim, the ways to get the particular double dominating sets are introduced. At long last, a numeral model on ambulance service on some villages information in India is introduced to clarify the necessity of double domination in m-PIVFG in the particular application.