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On beta product of hesitancy fuzzy graphs and intuitionistic hesitancy fuzzy graphs

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초록

The degree of hesitancy of a vertex in a hesitancy fuzzy graph depends on the degree of membership and non-membership of the vertex. We define a new class of hesitancy fuzzy graph, the intuitionistic hesitancy fuzzy graph in which the degree of hesitancy of a vertex is independent of the degree of its membership and non-membership. We introduce the idea of $\beta$-product of a pair of hesitancy fuzzy graphs and intuitionistic hesitancy fuzzy graphs and prove certain results based on this product.

Abstract

The degree of hesitancy of a vertex in a hesitancy fuzzy graph depends on the degree of membership and non-membership of the vertex. We define a new class of hesitancy fuzzy graph, the intuitionistic hesitancy fuzzy graph in which the degree of hesitancy of a vertex is independent of the degree of its membership and non-membership. We introduce the idea of $\beta$-product of a pair of hesitancy fuzzy graphs and intuitionistic hesitancy fuzzy graphs and prove certain results based on this product.

참고문헌 (12)

  1. K. T. Atanassov, "Intuitionistic fuzzy sets", Fuzzy Sets and Systems, 20, pp.87~96 (1986)
  2. Ch. Chaitanya, "On the complete product of fuzzy graphs", South East Asian Journal of Mathematics and Mathematical Sciences(SEAJMMS), 18(2), pp.185~196 (2022)
  3. M. Javaid, "Hesitant Fuzzy Graphs and Their Products", Fuzzy Information and Engineering, 12(2), pp.238~252 (2020)
  4. F. Karaaslan, "Hesitant fuzzy graphs and their applications in decision making", J Intell Fuzzy Syst, 36(3), pp.2729~2741 (2019)
  5. R. Parvathi, "Intuitionistic fuzzy graphs, Computational intelligence, theory and applications", pp.139~150 (2006), Springer
  6. T. Pathinathan, "Hesitancy fuzzy graph", Indian Journal of Science and Technology, 8(35), pp.1~5 (2015)
  7. R. Rajeswari, "Hesitant fuzzy connected and hesitant fuzzy trees", Int J Pure Appl Math, 118(10), pp.121~134 (2018)
  8. A. Rosenfeld, "Fuzzy Sets and Their Applications to Cognitive and Decision Process", pp.77~95 (1975), Academic Press
  9. J. J. Rosline, "Different types of products on Hesitancy fuzzy graphs", Int Journal of Pure and Appl Math, 119(9), pp.255~265 (2018)
  10. R. Shakthivel, "Domination in Hesitancy Fuzzy Graphs", International Journal of Advanced Science and Technology, 28(16), pp.1142~1156 (2019)
  11. N. Vinothkumar, "Operations in hesitancy fuzzy graphs", Int J of Pure Appl Math, 119(16), pp.4325~4338 (2018)
  12. LA. Zadeh, "Fuzzy sets", Inform Control, 8, pp.338~356 (1965)

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