A. R. Hadipour, A. Borumand Saeid, “Vague <nobr>$BF$</nobr>-algebras”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2010, Number 3,Pages <nobr>11

Research articles

Vague $BF$-algebras

A. R. Hadipour^a, A. Borumand Saeid^b

^a Department of Mathematics, Islamic Azad University, Rafsanjan branch, Rafsanjan, Iran
^b Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran

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.

MSC: 06F35, 03G25, 03E72

Received: 08.02.2010

Language: English