Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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A NOTE ON δ-QUASI FUZZY SUBNEAR-RINGS AND IDEALS

  • Gangmei, Gaikhangning (Department of Mathematics, Manipur University) ;
  • Devi, O. Ratnabala (Department of Mathematics, Manipur University)
  • Received : 2019.09.24
  • Accepted : 2020.01.17
  • Published : 2020.03.30
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Abstract

In this paper, we discuss in detail some of the properties of the new kind of (∈, ∈ ∨q)-fuzzy ideals in Near-ring. The concept of (∈, ∈ ∨qδ0)-fuzzy ideal of Near-ring is introduced and some of its related properties are investigated.

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References

  1. Abou Zaid, On fuzzy subnear-rings and ideals, Fuzzy sets and systems 44 (1991), 139-146. https://doi.org/10.1016/0165-0114(91)90039-S
  2. S.K.Bhakat and P.Das, On the definition of a fuzzy subgroup, Fuzzy sets and systems 51 (1992), 235-241. https://doi.org/10.1016/0165-0114(92)90196-B
  3. S.K.Bhakat and P.Das, $({\in},{\in}\;Vq)$-fuzzy subgroup, Fuzzy sets and systems 80 (1996), 359-368. https://doi.org/10.1016/0165-0114(95)00157-3
  4. S.K.Bhakat and P.Das, Fuzzy subrings and ideals redefined, Fuzzy sets and systems 81 (1996), 383-393. https://doi.org/10.1016/0165-0114(95)00202-2
  5. S.K.Bhakat, $({\in}\;Vq)$-level subset, Fuzzy sets and Systems 103 (1999), 529-533. https://doi.org/10.1016/S0165-0114(97)00158-9
  6. S.K.Bhakat, $({\in},{\in}\;Vq)$-fuzzy normal, quasinormal and maximal subgroups, Fuzzy sets and Systems 112 (2000), 299-312. https://doi.org/10.1016/S0165-0114(98)00029-3
  7. B.Davvaz, $({\in},{\in}\;Vq)$-fuzzy subnear-rings and ideals, Soft Comput. 10 (2006), 206-211. https://doi.org/10.1007/s00500-005-0472-1
  8. O.R.Devi, On $({\in},{\in}\;Vq)$-fuzzy essential ideals of nearring, International Journal of Pure and Applied Mathematics 86 (2) (2013), 283-292.
  9. P.S.Das, Fuzzy groups and level subgroups, J. Math. Anal. Appl. 85 (1981), 264-269. https://doi.org/10.1016/0022-247X(81)90164-5
  10. Y.B.Jun, and M.A.Ozturk, A new generalization of $({\in},{\in}\;Vq)$-fuzzy subrings and ideals, Gulf Journal of Mathematics 6 (2) (2018), 59-70.
  11. Y.B.Jun, M.A.Ozturk and G.Muhiuddin, A generalization of $({\in},{\in}\;Vq)$-fuzzy subgroups, International Journal of Algebra and stastistics 5 (2016), 7-18. https://doi.org/10.20454/ijas.2016.1041
  12. Z.Jianming and B.Davvaz, Generalized fuzzy ideals of near-rings, Appl. Math. J. Chinese Univ. 24 (3) (2009), 343-349. https://doi.org/10.1007/s11766-009-2130-3
  13. S.D.Kim and H.S.Kim, On fuzzy ideals of near-rings, Bull.Korean Math.Soc. 33 (4) (1996), 593-601.
  14. A.L. Narayanan and T.Manikantan, $({\in},{\in}\;Vq)$-fuzzy subnear-rings and $({\in},{\in}\;Vq)$-fuzzy ideals of near-rings, J.Appl.Math. and Computing 18 (2005), 419- 430. https://doi.org/10.1007/BF02936584
  15. P.M.Pu and Y.M.Liu, Fuzzy topology I, neighborhood structure of a fuzzy point and Moore-Smith convergence, J. Math. Anal. Appl. 76 (1980), 571-599. https://doi.org/10.1016/0022-247X(80)90048-7
  16. A,Rosenfeld, Fuzzy groups, J. Math. Anal. Appl. 35(1971), 512-517. https://doi.org/10.1016/0022-247X(71)90199-5
  17. L.A.Zadeh, Fuzzy sets, Information and control 8 (1965), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X