Bosbach states on fuzzy structures
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Toward a generalized theory of uncertainty (GTU): an outline
Information Sciences—Informatics and Computer Science: An International Journal
Information Sciences—Informatics and Computer Science: An International Journal
Information Sciences: an International Journal
Boolean filters and positive implicative filters of residuated lattices
Information Sciences: an International Journal
Fuzzy filters and fuzzy prime filters of bounded Rl-monoids and pseudo BL-algebras
Information Sciences: an International Journal
States on semi-divisible generalized residuated lattices reduce to states on MV-algebras
Fuzzy Sets and Systems
Residuated Lattices: An Algebraic Glimpse at Substructural Logics, Volume 151
Residuated Lattices: An Algebraic Glimpse at Substructural Logics, Volume 151
States on finite monoidal t-norm based algebras
Information Sciences: an International Journal
State operators on generalizations of fuzzy structures
Fuzzy Sets and Systems
On the existence of states on MTL-algebras
Information Sciences: an International Journal
| Hi-index | 0.07 |
In this paper we extend some properties of the radical of an MTL-algebra to the non-commutative case of a more general residuated structure, namely the FL"w-algebra. For the particular case of pseudo-MTL algebras, some specific results are presented. We introduce the notion of a local additive measure on a perfect pseudo-MTL algebra and we prove that, with some additional conditions, every local additive measure can be extended to a Riecan state; a necessary and sufficient condition is given for such an extension to be a Bosbach state.