Fuzzy Graph Structures with Application

In this article, we introduce the notions of maximal products of fuzzy graph structures, regular fuzzy graph structures, and describe these notions with examples and properties. Further, we present the degree and total degree of a vertex in maximal product of fuzzy graph structures and explain some of their properties. Furthermore, we develop a flowchart to show general procedure of application of fuzzy graph structure, regarding identification of most controversial issues among countries.

[1]  John N. Mordeson,et al.  Operations on Fuzzy Graphs , 1994, Inf. Sci..

[2]  Robert LIN,et al.  NOTE ON FUZZY SETS , 2014 .

[3]  Sunil Mathew,et al.  Types of arcs in a fuzzy graph , 2009, Inf. Sci..

[4]  Huda Mutab Al Mutab Fuzzy Graphs , 2019, JOURNAL OF ADVANCES IN MATHEMATICS.

[5]  M. Akram,et al.  Operations on Soft Graphs , 2015 .

[6]  Prabir Bhattacharya,et al.  Some remarks on fuzzy graphs , 1987, Pattern Recognit. Lett..

[7]  T. Dinesh,et al.  On Generalised Fuzzy Graph Structures , 2010 .

[8]  K. Radha On Regular Fuzzy Graphs , 2008 .

[9]  T Dinesh,et al.  A STUDY ON GRAPH STRUCTURES, INCIDENCE ALGEBRAS AND THEIR FUZZY ANALOGUES , 2011 .

[10]  Lotfi A. Zadeh,et al.  Similarity relations and fuzzy orderings , 1971, Inf. Sci..

[11]  Muhammad Akram,et al.  Certain Concepts of Bipolar Fuzzy Directed Hypergraphs , 2017 .

[12]  Ambat Vijayakumar,et al.  A Characterization of Fuzzy Trees , 1999, Inf. Sci..

[13]  Muhammad Akram,et al.  Regular bipolar fuzzy graphs , 2011, Neural Computing and Applications.

[14]  Muhammad Akram,et al.  A New Method to Decision-Making with Fuzzy Competition Hypergraphs , 2018, Symmetry.

[15]  Kiran R. Bhutani,et al.  On M-strong fuzzy graphs , 2003, Inf. Sci..

[16]  John N. Mordeson,et al.  Fuzzy Graphs and Fuzzy Hypergraphs , 2000, Studies in Fuzziness and Soft Computing.

[17]  Tina Anggitta Novia,et al.  Complement of a Fuzzy Graph , 2009 .

[18]  K. Radha The Degree of a Vertex in some Fuzzy Graphs , 2009 .