Some studies on products of Fuzzy soft graphs

Authors

  • S Shashikala Department of Mathematics, Global Academy of Technology, Bangalore, Karnataka, India.
  • Anil P Narappanavar Department of Mathematics, Global Academy of Technology, Bangalore, Karnataka, India.

DOI:

https://doi.org/10.23755/rm.v41i0.644

Keywords:

alpha, beta and gamma product of fuzzy soft graphs, degree of a vertex, regular properties

Abstract

In this paper, alpha, beta and gamma product of two fuzzy soft graphs are defined. The degree of a vertex in these product fuzzy soft graphs are determined and its regular properties are studied.

 

References

D. Molodtsov, Soft set theory-First results, Computers and Mathematics with Applications, 37 (1999) 19-31.

A. Rosenfeld, Fuzzy graphs, in: L A Zadeh, K S Fu, M Shimura (eds), Fuzzy sets and their Applications (New York: Academic press 1975), 77-95.

Lotfi A Zadeh, Fuzzy sets, Information and control, 8 (3) (1965) 338-353.

Frank Harary, Graph Theory, Narosa/Addison Wesley, Indian Student Edition, (1988).

P.K. Maji, A. R. Roy, R. Biswas, Fuzzy soft sets, The Journal of Fuzzy Mathematics 9(3) (2001) 589-602.

J. N. Mordeson and C. S. Peng, Operations on fuzzy graphs, Information Science, 79 (1994) 159-170.

A. R. Roy and P. K. Maji, A fuzzy soft set theoretic approach to decision making problems, Journal of Computational and Applied Mathematics, 28 (3) (2007) 412-418.

M. Akram and S. Nawaz, On fuzzy soft graphs, Italian Journal of Pure and Applied Mathematics, 34 (2015) 463-480.

Sumit Mohinta and T. K. Samanta, An introduction to fuzzy soft graph, Mathematica Moravica , 19( 2) (2015) 35-48.

Shovan Dogra, Different types of product of fuzzy graphs, Progress in Nonlinear Dynamics and Chaos, 3(1) (2015) 41-56.

M. Akram and S. Nawaz, Fuzzy soft graphs with applications, Journal of Intelligent & Fuzzy System, 30 (2016) 3619-3632.

Shashikala S and Anil P N, Connectivity in fuzzy soft graph and its complement, IOSR Journal of Mathematics, 12 (5) (2016) 95-99.

A. Pouhassani and H. Doostie, On the properties of fuzzy soft graphs, Journal of Information and Optimization Sciences, 38: 3-4 (2017) 541-557.

Anas Al-Masarwah, Majdoleen Abuqamar, Certain types of fuzzy soft graphs, New Mathematics and Natural Computation, (2017) 541-557.

Shashikala S and Anil P N, Fuzzy soft cycles in Fuzzy soft graphs, Journal of New Results in Science, 8(1) (2019) 26-35.

B Akhilandeswari, On regular fuzzy soft graphs, International Journal of Scientific Research and Engineering Trends, 5(3) (2019) 831-834.

Hafiza Saba Nawaz, Muhammad Akram, Oligopolistic competition among the wireless internet service providers of Malaysia using fuzzy soft graphs, Journal of Applied Mathematics and Computing, (2021) 1-36.

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Published

2021-12-31

Issue

Vol. 41 (2021)

Section

Volume 41-2021

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