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bi-strong Smarandache BL-algebras

Author

Listed:
  • Mahdieh Abbasloo

    (Dept. of Math. Islamic Azad University)

  • Arsham Borumand Saeid

    (Dept. of Math. Shahid Bahonar University of Kerman)

Abstract

In this paper, we introduce the notion of bi-Smarandache BL-algebra, bi-weak Smarandache BL-algebra, bi-Q-Smarandache ideal and bi-Q-Smarandache implicative filter, we obtain some related results and construct quotient of bi-Smarandache BL-algebras via MV-algebras (or briefly bi-Smarandache quotient BL-algebra) and prove some theorems. Finally, the notion of bi-strong Smarandache BL-algebra is presented and relationship between bi-strong Smarandache BL-algebra and bi-Smarandache BL-algebra are studied.

Suggested Citation

  • Mahdieh Abbasloo & Arsham Borumand Saeid, 2013. "bi-strong Smarandache BL-algebras," Fuzzy Information and Engineering, Springer, vol. 5(1), pages 99-117, March.
    • Handle: RePEc:spr:fuzinf:v:5:y:2013:i:1:d:10.1007_s12543-013-0134-4
    DOI: 10.1007/s12543-013-0134-4
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