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A Novel Decision-Making Method Based on Fuzzy Graphs
Saeed Kosari, Peng Xu, Janusz Kacprzyk, Jana Shafi, Aysha Khan and Hossein Rashmanlou
Vague graphs (VGs) have various applications in other sciences and always help us to make the best decision in a work or organizational field. In medical sciences, it should be noted that the VG plays a very importance role in diagnosing diseases and also finding the most effective person in a hospital. Therefore, considering the great importance of VG, we intend to introduce very importance concepts, including vague vector space (VVS), vague linearing independent (VLI), vague basis (VB), vague power set (VPS), vague matroid (VM), and vague circuit (VC), for the first time in this paper. A directed graph, or digraph, is a finite set of elements called nodes or vertices, and a finite set of directed arcs or edges that connect pairs of nodes. It can be used to analyze electrical circuits, develop project schedules, find shortest routes, analyze social relationships, and construct models for the analysis and solution of many other problems. So, in the following, we will define vague digraphs (VDGs) and examine important operations such as union, application of vague graph in medical sciences has been introduced.
Keywords: Vague set, vague matroid, vague circuit, vague graph, medical sciences
Mathematics Subject Classification: 05C99, 03E72. 16Y60