Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2010, Number 3, Pages 11–22 (Mi basm265)  
Research articles

Vague $BF$-algebras

A. R. Hadipoura, A. Borumand Saeidb

a Department of Mathematics, Islamic Azad University, Rafsanjan branch, Rafsanjan, Iran
b Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
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Abstract: In this paper, by using the concept of vague sets and $BF$-algebra we introduce the notions of vague $BF$-algebra. After that we state and prove some theorems in vague $BF$-algebras, $\alpha$-cut and vague-cut. The relationship between these notions and crisp subalgebras are studied.
Keywords and phrases: (anti) fuzzy $BF$-algebras, vague sets, vague $BF$-algebra, vague-cut, (artinian, noetherian) $BF$-algebras.
Received: 08.02.2010
Bibliographic databases:
Document Type: Article
MSC: 06F35, 03G25, 03E72
Language: English
Citation: A. R. Hadipour, A. Borumand Saeid, “Vague $BF$-algebras”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2010, no. 3, 11–22
Citation in format AMSBIB
\Bibitem{HadBor10}
\by A.~R.~Hadipour, A.~Borumand Saeid
\paper Vague $BF$-algebras
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2010
\issue 3
\pages 11--22
\mathnet{http://mi.mathnet.ru/basm265}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2791972}
\zmath{https://zbmath.org/?q=an:1234.03037}
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