Certain Concepts of Bipolar Fuzzy Directed Hypergraphs
AbstractA hypergraph is the most developed tool for modeling various practical problems in different fields, including computer sciences, biological sciences, social networks and psychology. Sometimes, given data in a network model are based on bipolar information rather than one sided. To deal with such types of problems, we use mathematical models that are based on bipolar fuzzy (BF) sets. In this research paper, we introduce the concept of BF directed hypergraphs. We describe certain operations on BF directed hypergraphs, including addition, multiplication, vertex-wise multiplication and structural subtraction. We introduce the concept of
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Akram, M.; Luqman, A. Certain Concepts of Bipolar Fuzzy Directed Hypergraphs. Mathematics 2017, 5, 17.
Akram M, Luqman A. Certain Concepts of Bipolar Fuzzy Directed Hypergraphs. Mathematics. 2017; 5(1):17.Chicago/Turabian Style
Akram, Muhammad; Luqman, Anam. 2017. "Certain Concepts of Bipolar Fuzzy Directed Hypergraphs." Mathematics 5, no. 1: 17.
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