Z -soft rough fuzzy graphs: A new approach to decision making

Nasir A. Shah, Nayyar Mehmood, Noor Rehman, Muhammad Shabir, Muhammad İrfan Ali · Journal of Intelligent & Fuzzy Systems · 2018

The aim of this paper is to discuss the uncertainty in soft graphs and a new type of graphs, called Z -soft rough fuzzy graphs is introduced. The notions of Z -soft rough vertex graphs, Z -soft rough edge graphs and Z -soft rough fuzzy graphs are given, and their related properties are explored. The theory of graph approximation space is developed. To validate the applicability of Z -soft rough fuzzy graphs, we put forward an innovative approach to multicriteria group decision making problems.

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