bi-strong Smarandache BL-algebras

Mahdieh Abbasloo () and Arsham Borumand Saeid ()
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Mahdieh Abbasloo: Dept. of Math. Islamic Azad University
Arsham Borumand Saeid: Dept. of Math. Shahid Bahonar University of Kerman

Fuzzy Information and Engineering, 2013, vol. 5, issue 1, 99-117

Abstract: 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.

Keywords: bi-Smarandache BL-algebra; bi-weak Smarandache BL-algebra; bi-QSmarandache ideal; bi-implicative filter; n-Smarandache strong structure (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s12543-013-0134-4

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