Basic fuzzy logic (BL for short) was introduced by Hбjek in [10] to formalize fuzzy logics in which the conjunction is interpreted by a continuous t-norm.

Nov 15, 2017 · Different constructions of BL-chains are compared. We establish when the ordinal sum and the poset product of the same family of BL-chains ...

Oct 15, 2020 · This theorem does not only state that each BL-algebra is a subalgebra of a direct product of BL-chains, but also reveals that the main ...

We also compare the poset product of MV-chains and product chains with saturated BL-chains. Keywords: BL-algebras, Ordinal sum, Poset product, Wajsberg hoops.

Different constructions of BL-chains are compared. We establish when the ordinal sum and the poset product of the same family of BL-chains coincide.

Different constructions of BL-chains are compared and it is established when the ordinal sum and the poset product of the same family ofBL-chains coincide.

Abstract: Different constructions of BL-chains are compared. We establish when the ordinal sum and the poset product of the same family of BL-chains ...

Different constructions of BL-chains are compared. We establish when the ordinal sum and the poset product of the same family of BL-chains coincide.

A hoop is an algebra H = hH; ;!;1i of type h2;2;0i such that hH; ;1i is a commutative monoid satisfying. (i) x !x = 1. (ii) x (x !y) = y (y !x). (iii) x !

Focused on BL-chains, it was proved that they can be completely described as an ordinal sum (of simpler structures). Theorem 1 (Subdirect representation theorem ...