Quasi Equality Algebras

عنوان به زبان ديگر

پديدآورندگان

Borzooei .R. A borzooei@sbu.ac.ir Shahid Beheshti University , Zebardast .F zebardastfathme@gmail.com Payame Noor University, Tehran

تعداد صفحه

6

كليدواژه

Equality algebras , quasi equality algebra , quasi BCK , meet , semilattice.

سال انتشار

1396

عنوان كنفرانس

هفدهمين كنفررانس ملي سيستم هاي فازي، پانزدهمين كنفرانس ملي سيستم هاي هوشمند و ششمين كنگره ملي مشترك سيستم هاي فازي و هوشمند ايران

زبان مدرك

انگليسي

چكيده فارسي

Equality algebras were introduced by S. Jenei as a possible algebraic semantic for fuzzy type theory. In this paper, we introduce a commutative generalization of equality algebras, called quasi equality algebras. We present some properties of them and generalize the concepts of BCK-algebras to quasi BCK-algebras and ﬁnd that under which conditions, quasi equality algebras are equivalent to quasi BCK-meet-semilattices.

چكيده لاتين

Equality algebras were introduced by S. Jenei as a possible algebraic semantic for fuzzy type theory. In this paper, we introduce a commutative generalization of equality algebras, called quasi equality algebras. We present some properties of them and generalize the concepts of BCK-algebras to quasi BCK-algebras and ﬁnd that under which conditions, quasi equality algebras are equivalent to quasi BCK-meet-semilattices.

كشور

ايران