Mixed Picture Fuzzy Graph

Authors

  • K.K. Myithili Department of Mathematics, Vellalar College for Women, Erode, Tamilnadu, India
  • C. Nandhini Research Scholar, Department of Mathematics, Vellalar College for Women, Erode, Tamilnadu, India

DOI:

https://doi.org/10.23755/rm.v42i0.776

Keywords:

picture fuzzy graph, MPFG, degree, size & order of MPFG, regular, strong, complete MPFG and complement of MPFG

Abstract

A new form of picture fuzzy graph has been identified and introduced here as Mixed Picture Fuzzy Graph(MPFG). The picture fuzzy set is made up of the fuzzy set and the intuitionistic fuzzy set. It is helpful when there are multiple options, such as yes, no, rejection and abstain. MPFG, which is dependent on the picture fuzzy relation, is defined in this paper. The properties of various types of degrees, order and size of MPFG are examined. Also some types of MPFG such as  regular, strong, complete and complement of MPFG are introduced and their properties were analysed. As an application part, the concept of MPFG has been applied in instagram and the result has been discussed here.

References

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Cen Zuo, Anita Pal & Arindam Dey, New Concepts of picture fuzzy graphs with application, Mathematics, Vol.7, 2019, 470, 1-18.

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Zadeh L A, Fuzzy sets, Information and Control, 1965, Vol.8, 338-356.

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Published

2022-06-30

Issue

Vol. 42 (2022)

Section

Volume 42-2022

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