Application of m- polar soft fuzzy bi- partite graph in residence selection process

Authors

  • S Ramkumar Department of Mathematics, Sri S.\ Ramasamy Naidu Memorial College, Sattur-626 203, Tamil Nadu, India. Affiliated to Madurai Kamaraj University, Madurai-625 021, Tamil Nadu, India
  • R Sridevi Department of Mathematics, Sri S.\ Ramasamy Naidu Memorial College, Sattur-626 203, Tamil Nadu, India. Affiliated to Madurai Kamaraj University, Madurai-625 021, Tamil Nadu

DOI:

https://doi.org/10.23755/rm.v48i0.1200

Keywords:

m − polar soft fuzzy bi-partite graphs, m − polar soft fuzzy graphs, size of m − polar soft fuzzy bi-partite graphs

Abstract

An $m-$polar fuzzy set and soft sets are two different tools for representing uncertainty and vagueness. An $m-$polar soft fuzzy set is a mapping from parameter set to the $m-$polar fuzzy subsets of the universe. An $m-$polar soft fuzzy set theory provides a parameterized point of view for uncertainty modeling and soft computing model. In this paper, we have introduced the notions of $m-$polar soft fuzzy bipartite graph, size and degree of $m-$polar soft fuzzy bi-partite graph as well as an investigation on buying of residence by considering various parameters. People, while buying residence, have many options. So, to choose the best one, they have to consider many parameters. $m-$polar soft fuzzy graph is one of the major areas of graph theory, which finds a solution to this problem

Author Biography

  • S Ramkumar, Department of Mathematics, Sri S.\ Ramasamy Naidu Memorial College, Sattur-626 203, Tamil Nadu, India. Affiliated to Madurai Kamaraj University, Madurai-625 021, Tamil Nadu, India
    Applied Mathematics

References

Ali, M. I. "A Note on Soft Sets, Rough Sets, and Fuzzy Soft Sets." Applied Soft Computing, 11 (2011), 3329-3332.

Chan, J., Li, S., Ma, S., & Wang, X. "m-Polar Fuzzy Sets: An Extension of Bipolar Fuzzy Sets." Hindawi Publishing Corporation Sci. World J., (2014), p8.

Molodtsov, D. A. "Soft Set Theory - First Results." Computers and Mathematics with Applications, 37 (1997), 19-31.

Mathew Varkey, T. K., & Shyla, A. M. "A Note on Bipartite and Balanced Fuzzy Graph Structures." 6, 7 (2017): 12637-12640.

Sumit, Mohinto, & Samanta, T. K. "An Introduction to Fuzzy Soft Graph." Mathematica Moravica, 2015, vol. 19, br. 3, str 35-48.

Akram, M., & Nawaz, S. "Fuzzy Soft Graphs with Applications." Journal of Intelligent and Fuzzy Systems, 30 (6) (2016), 3619-3632.

Rosenfeld, A., Zadeh, L. A., Fu, K. S., & Shimura, M. [Eds] "Fuzzy Graphs in Fuzzy Sets and Their Applications." Academic Press, New York 1975, 77-95.

Ramkumar, S., & Sridevi, R. "Proper m−polar Soft Fuzzy Graphs." Adv. Math. Sci. J., 10 (2021), No.4, 1845-1856.

Ramkumar, S., & Sridevi, R. "Applications of Min-Max m−polar Soft Fuzzy Graphs in Decision Making." Indian Journal of Natural Sciences, vol.14, issue.79, (2023), 59272–59277.

Ramkumar, S., & Sridevi, R. "On Improper m−polar Soft Fuzzy Graph and Its Applications for Medical Diagnosis in the Current COVID-19 Scenario." Indian Journal of Science and Technology, 16 (34) (2023), 2681-2692.

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Published

2023-12-30

Issue

Section

Volume 48-2023