On Riečan and Bosbach states for bounded non-commutative $R\ell$-monoids

Rok, strany: 2006, 487 - 500

We generalize the notion of a state for bounded $R\ell$-onoids introducing Riečan and Bosbach states and weak states. We show that for good bounded $R\ell$-monoids all these three notions coincide, and this fact gives the answer to an open problem posed by Georgescu [GEORGESCU, G.: Bosbach states on fuzzy structures, Soft Comput. 8 (2004), 217–230] whether there is a Riečan state on a good pseudo BL-algebra which is not a Bosbach state.

ISO 690:

Dvurečenskij, A., Rachůnek, J. 2006. On Riečan and Bosbach states for bounded non-commutative $R\ell$-monoids. In Mathematica Slovaca, vol. 56, no.5, pp. 487-500. 0139-9918.

APA:

Dvurečenskij, A., Rachůnek, J. (2006). On Riečan and Bosbach states for bounded non-commutative $R\ell$-monoids. Mathematica Slovaca, 56(5), 487-500. 0139-9918.