Results 51 to 60 of about 204 (74)

States on semi-divisible generalized residuated lattices reduce to states on MV-algebras

Fuzzy Sets and Systems, 2008
The authors continue their study of the set MV\((L)\) of complemented elements of a residuated lattice \(L\) [Soft Comput. 12, No.~4, 353--357 (2008; Zbl 1138.06006)]. Such structures are related to mathematical fuzzy logic as well as to extended probability theory.
Mertanen, Janne, Turunen, Esko
exaly   +6 more sources

Classes of examples of pseudo-MV algebras, pseudo-BL algebras and divisible bounded non-commutative residuated lattices

Soft Computing, 2009
There are close connections between pseudo MV-algebras (pseudo Wajsberg algebras) on the one hand and pseudo BL-algebras (pseudo Hájek (pP) algebras) and divisible noncommutative residuated lattices (divisible bounded reverse left-pseudo-BCK(pP) lattices) on the other hand, which generalize to the noncommutative case the close connections between MV ...
Afrodita Iorgulescu
exaly   +4 more sources

Some properties of (strong) semi-divisible residuated lattices and modal operators

Journal of Applied Non-Classical Logics
Chancelle O. Kamga, Surdive Atamewoue, Celestin Lele, Lutz Strüngmann   +3 more
exaly   +4 more sources

States on semi-divisible residuated lattices

Soft Computing, 2007
There are two definitions of states on residuated lattices: Riečan states and Bosbach states. The authors prove that there are commutative residuated lattices admitting Riečan states but not possessing Bosbach states. Recently A. Dvurečenskij and J. Rachůnek proved that the definitions coincide in divisible residuated lattices.
Turunen, Esko, Mertanen, Janne
openaire   +2 more sources

Semi-G-filters, Stonean filters, MTL-filters, divisible filters, BL-filters and regular filters in residuated lattices

, 2016
At present, the filter theory of $BL$textit{-}algebras has been widelystudied, and some important results have been published (see for examplecite{4}, cite{5}, cite{xi}, cite{6}, cite{7}). In other works such ascite{BP}, cite{vii}, cite{xiii}, cite{xvi} a study of a filter theory inthe more general setting of residuated lattices is done, generalizing ...
Busneag, D., Piciu, D.
openaire   +2 more sources

Divisible and Semi-Divisible Residuated Lattices

, 2013
Dumitru Buşneag, Dana Piciu, Justin Paralescu   +2 more
openalex   +1 more source

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Q-residuated lattices and lattice pseudoeffect algebras

Soft Computing, 2022
Xiaohong Zhang
exaly  

The pure spectrum of a residuated lattice

Fuzzy Sets and Systems, 2023
Saeed Rasouli
exaly  

On Non-commutative Residuated Lattices With Internal States

IEEE Transactions on Fuzzy Systems, 2018
Peng Fei He
exaly