A note on fuzzy PS-ideals in PS-algebra and its level subsets

  • Authors

    • Priya Thirugapillai PSNA College of Engineering and Technology Dindigul 624 622 Tamilnadu India
    • Rama Chandran M.V.Muthiah Government Arts College for Women, Dindigul– 624 001 Tamilnadu India.
    2014-05-19
    https://doi.org/10.14419/ijams.v2i2.2390

  • Abstract

    In this paper, a new notion, named fuzzification of PS – Algebra, which is a generalization of BCK/BCI/TM/BH/Q/d/KU-algebras, is introduced, along with PS-ideal and we have discussed some of their properties in detail.

    Keywords: PS-Algebra, PS-ideal, Fuzzy PS-Ideal, Level Subsets, PS-Subalgebra and Fuzzy PS-Subalgebra.

  • References

    1. Hu Q.P. and Li X. , On BCH-algebras, Mathematics Seminar notes11 (1983) , 313-320.
    2. Iseki K. and Tanaka S., An introduction to the theory of BCK – algebras , Math Japonica 23 (1978), 1- 20
    3. Iseki K., On BCI-algebras, Math.Seminar Notes 8 (1980), 125-130.
    4. Megalai K.and Tamilarasi A.,Fuzzy Subalgebras and Fuzzy T-ideals in TM-algebra, Journal of Mathematics and Statistics 7(2),2011,107-111.
    5. Neggers. J, Ahn S.S. and Kim H.S., On Q-algebras, IJMMS 27 (2001) , 749-757.
    6. Neggers.J and Kim H.S., On d-algebras , Math,slovaca, 49 (1999) , 19-26
    7. Prabpayak C. and Leerawat U.,On Ideals and congurences in KU-algebras, Scientia Magna J. 5(1)(2009),54-57.
    8. Priya T. and Ramachandran T., Classification of PS-algebras, The International Journal of Science and Technoldge, Communicated.
    9. Priya T. and Ramachandran T., Some properties of fuzzy dot PS-sub algebras of PS-algebras, Annals of Pure and Applied Mathematics, Vol.6, No.1, 2014, 11-18.
    10. Priya T. and Ramachandran T. , Some Characterization of Anti-fuzzy PS-ideals of PS-algebras in Homomorphism and Cartesian Products , International Journal of Fuzzy Mathematical Archive, Vol.4, No.2 , 2014 ,72-79.
    11. Priya T. and Ramachandran T., Anti fuzzy PS-ideals in PS-algebras and its level subsets, International Journal of Mathematical Archive, Vol.5, No.4, 2014, 1-7.
    12. Priya T. and Ramachandran T., Normalisation of fuzzy PS-algebras, International Journal of Engineering Research and Applications, Communicated.
    13. Priya T. and Ramachandran T., On Pseudo fuzzy PS-algebras, Annals of Pure and Applied Mathematics, Communicated.
    14. Sithar Selvam P.M.,Priya T.and Ramachandran T, Anti Q- Fuzzy KU –Ideals in KU - Algebras and its lower level cuts, International journal of Engineering Research & Applications, volume -2 (4),2012, 1286-1289.
    15. Zadeh. L.A.Fuzzy sets, Information and Control, 8, 1965, 338-353.

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  • How to Cite

    Thirugapillai, P., & Chandran, R. (2014). A note on fuzzy PS-ideals in PS-algebra and its level subsets. International Journal of Advanced Mathematical Sciences, 2(2), 101-106. https://doi.org/10.14419/ijams.v2i2.2390