Certain concepts in \(m\)-polar fuzzy graph structures (Q1677703)

Summary: We apply the concept of \(m\)-polar fuzzy sets to graph structures. We introduce certain concepts in \(m\)-polar fuzzy graph structures, including strong \(m\)-polar fuzzy graph structure, \(m\)-polar fuzzy \(D_i\)-cycle, \(m\)-polar fuzzy \(D_i\)-tree, \(m\)-polar fuzzy \(D_i\)-cut vertex, and \(m\)-polar fuzzy \(D_i\)-bridge, and we illustrate these concepts by several examples. We present the notions of \(\phi\)-complement of an \(m\)-polar fuzzy graph structure and self-complementary, strong self-complementary, totally strong self-complementary \(m\)-polar fuzzy graph structures, and we investigate some of their properties.