Picture N-Sets and Applications in Semigroups

Main Article Content

Anusorn Simuen
Ronnason Chinram
Winita Yonthanthum
Aiyared Iampan

Abstract

In this paper, we study picture N-structures and apply it to semigroups. Moreover, we define picture N-ideals in semigroups and investigate several properties of these ideals in semigroups.

Article Details

References

  1. K.T. Atanassov, Intuitionistic Fuzzy Sets, VII ITKR Session, Sofia, 20-23 June 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: Int. J. Bioautom. 20(S1) (2016), S1–S6. https://www.biomed.bas.bg/bioautomation/2016/vol_20.s1/files/20.s1_02.pdf.
  2. B.C. Cuong, Picture Fuzzy Sets, J. Computer Sci. Cybernetics, 30 (2014), 409–420. https://doi.org/10.15625/1813-9663/30/4/5032.
  3. B. Elavarasan, F. Smarandache, Y.B. Jun, Neutrosophic ℵ–Ideals in Semigroups, Neutrosophic Sets Syst. 28 (2019), 273–280. https://digitalrepository.unm.edu/nss_journal/vol28/iss1/21/.
  4. Y.B. Jun, K.J. Lee, S.Z. Song, N -Ideals of BCK/BCI-Algebras, J. Chungcheong Math. Soc. 22 (2009), 417–437. http://www.ccms.or.kr/data/pdfpaper/jcms22_3/22_3_417.pdf.
  5. P. Yiarayong, Semigroup Characterized by Picture Fuzzy Sets, Int. J. Innov. Comput. Inform. Control, 16 (2020), 2121–2130. https://doi.org/10.24507/ijicic.16.06.2121.
  6. F. Smarandache, A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Probability, American Research Press, Rehoboth, 1999. p. 1-141.
  7. F. Smarandache, M. Khan, S. Anis, Y. B. Jun, Neutrosophic N -Structures and Their Applications in Semigroups, Ann. Fuzzy Math. Inform. 14 (2017), 583–598, https://doi.org/10.30948/afmi.2017.14.6.583.
  8. L.A. Zadeh, Fuzzy Sets, Inform. Control. 8 (1965), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X.