Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
권호 표지
DOI QR코드

DOI QR Code

SOME QUESTIONS ON FUZZIFICATIONS OF IDEALS IN SUBTRACTION ALGEBRAS

  • Published : 2007.07.31
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we introduce the notion of a fuzzy ideal in subtraction algebras, and give some conditions for a fuzzy set to be a fuzzy ideal in subtraction algebras. We also pose three questions on fuzzy ideals of subtraction algebras.

Keywords

References

  1. J. C. Abbott, Sets, Lattices and Boolean Algebras, Allyn and Bacon, Boston, 1969
  2. G. Birkhoff, Lattice Theory, Amer. Math. Soc. Colloq. Publ., Vol. 25, third edition, 1967, Providence
  3. Y. B. Jun and H. S. Kim, On ideals in subtraction algebras, Sci. Math. Jpn. 65 (2007), no. 1, 129-134
  4. Y. B. Jun, H. S. Kim, and E. H. Roh, Ideal theory of subtraction algebras, Sci. Math. Jpn. 61 (2005), no. 3, 459-464
  5. Y. B. Jun and M. Kondo, On transfer principle of fuzzy BCK/BCI-algerbas, Sci. Math. Jpn. 59 (2004), no. 1, 35-40
  6. B. M. Schein, Difference Semigroups, Comm. Algebra 20 (1992), 2153-2169 https://doi.org/10.1080/00927879208824453
  7. B. Zelinka, Subtraction Semigroups, Math. Bohemica 120 (1995), 445-447

Cited by

  1. ANSWERS TO LEE AND PARK'S QUESTIONS vol.27, pp.1, 2012, https://doi.org/10.4134/CKMS.2012.27.1.001
  2. A COUPLED 𝒩-STRUCTURE WITH AN APPLICATION IN A SUBTRACTION ALGEBRA vol.36, pp.4, 2014, https://doi.org/10.5831/HMJ.2014.36.4.863
  3. Fuzzy soft ideals in subtraction algebras vol.21, pp.S1, 2012, https://doi.org/10.1007/s00521-011-0753-9
  4. Direct product of general intuitionistic fuzzy sets of subtraction algebras vol.3, pp.1, 2016, https://doi.org/10.1080/23311835.2016.1176619