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Submitted
September 10, 2017
Accepted
October 9, 2018
Published
November 5, 2020
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Abstract

In this paper, we discuss concepts of lower and upper approximations edge Cayley graphs of Cayley graphs with respect to conjugacy classes. Also, we expand rough approximation to pseudo-Cayley graphs and introduce concept of lower and upper approximations vertex pseudo-Cayley graphs of them with respect to a conjugacy classes. In the following, we discuss the properties of automorphisms in the Cayley rough graphs.

Keywords

Rough sets Cayley rough graph Pseudo-Cayley graph Conjugacy classes

Article Details

How to Cite
Talebi, A. A., & Amiri, S. O. (2020). On A Rough Cayley Graph Related to Conjugacy Classes. Journal of the Indonesian Mathematical Society, 26(3), 275–285. https://doi.org/10.22342/jims.26.3.681.275-285
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References

  1. Leung, D.H. and Tang, W. K., Functions of Baire class one, Fund. Math., 179 (2003), 225-247.
  2. Denecke, K. and Wismath, S.L., Universal Algebra and Coalgebra, World Scientific, 2009.
  3. Hildebrandt, T.H., "Linear Continuous Functionals on the Space (BV ) with weak topologies", Proc. Amer. Math. Soc. 17 (1966), 658 - 664.
  4. Biswas, R. Nanda, S., "Rough groups and rough subgroups", Bull. Polish Acad.Sci.Math., 42 (1994), 251-254.
  5. Davvaz, B., "Roughness in rings", Inform. Sci., 164 (2004), 147-163.
  6. Davvaz, B. Mahdavipour, M., "Roughness in modules", Inform. Sci., 176 (2006), 3658-3674.
  7. Dubois, D. Prade, H., "Rough fuzzy sets and fuzzy rough sets", International Journal of General Systems, 17 (1990), 191-208.
  8. Dubois, D. Prade H., "Twofold fuzzy sets and rough sets some issues in knowledge representation". Fuzzy Sets Syst., 23 (1987), 3-18.
  9. Godsil, C.D., "Connectivity of minimal Cayley graphs", Arch. Math., 37 (1981), 473-476.
  10. Ganesh Ghorai and Madhumangal Pal, "Faces and dual of m-polar fuzzy planar graphs", Journal of Intelligent and Fuzzy Systems, 31 (3) (2016), 2043-2049.
  11. Ganesh Ghorai and Madhumangal Pal, A note on "Regular bipolar fuzzy graphs", Neural Computing and Applications, 21 (1) (2012), 197-205, Neural Computing and Applications, DOI: 10.1007/s00521- 016-2771- 0, (2018).
  12. Ganesh Ghorai and Madhumangal Pal, "Some isomorphic properties of m-polar fuzzy graphs with applications", SpringerPlus, 5 (1) (2016), 1-21.
  13. Ganesh Ghorai and Madhumangal Pal, "On degrees of m-polar fuzzy graph with application", Journal of Uncertain Systems, 11 (4) (2017), 294-305.
  14. Ganesh Ghorai and Madhumangal Pal, "Results of m-polar fuzzy graphs with application", Journal of Uncertain Systems, 12 (1) (2018), 47-55.
  15. Jun, Y.B., "Roughness of ideals in BCK-algebras", Sci. Math. Japonica, 57 (1) (2003), 165-169.
  16. Jun, Y. B., "Roughness of Γ - Subsemigroups/Ideals in Γ -Semigroups", Bull. Korean Math.Soc., 40 (3) (2003), 531-536.
  17. Kazanci, O. Davvaz, B., "On the structure of rough prime (primary) ideals and rough fuzzyprime (primary) ideals in commutative rings", Inform. Sci., 178 (2008), 1343-1354.
  18. Kuroki, N., "Rough ideals in semigroups", Inform, Sci., 100 (1997), 139-163.
  19. Kuroki, N. Moderson, J. N., "Structures of rough sets and rough groups", J. Fuzzy Math., 5(1) (1997), 183-191.
  20. Kuroki, N. Wang, P.P., "The lower and upper approximations in a fuzzy group", Inform.Sci., 90 (1996), 203-220.
  21. Pawlak, Z., "Rough sets", International Journal of Computer and Information Sciences, 11(1982), 341-356.
  22. Pawlak, Z., "Rough Set approach knowledge-based decision support", European Journal of operational research, 99 (1997), 48-57.
  23. Pawlak, Z., "Rough Sets and Flow Graphs", Rough Sets, Fuzzy Sets, Data Mining and Granular Computing , Springer, 3641 (2005), 1-11.
  24. Skowron A. Polkowski L., "Rough Sets in Knowledge Discovery", Berlin, Germany: SpringerVerlag, 1 2(1998).
  25. Slowinski R. Kluwer Ed., "Intelligent Decision Support: Handbook of Applications and Advances of the Rough Sets Theory", Norwell, MA, 1992.
  26. Shahzamanian, M. H. Shirmohammadi, M. Davvaz, B., "Roughness in cayley graphs", Information Sciences, 180 (2010), 3362-3372.
  27. Sonia Mandal, Sankar Sahoo, Ganesh Ghorai and Madhumangal Pal, "Genus value of m-polar fuzzy graphs", Journal of Intelligent and Fuzzy Systems, 34 (3) (2018), 1947-1957.
  28. Xiao, Q.M. Zhang, Z.L., "Rough prime ideals and rough fuzzy prime ideals in semigroups", Inform. Sci., 176 (2006), 725-733.
  29. Ziarko W.P., "Rough sets", fuzzy sets and knowledge discovery, in Workshop in Computing,Ed. London, U. K., 1994.

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