Results 1 to 10 of about 687 (181)

Monadic Bounded Residuated Lattices

Order, 2011
Algebraic counterparts of the existential and universal quantifiers have been frequently studied for certain nonclassical logics. Monadic Boolean algebras, monadic MV-algebras, monadic Heyting algebras and monadic R\(\ell\)-monoids have been defined and studied.
Jiří Rachůnek, Dana Salounova
exaly   +2 more sources

On filter theory of residuated lattices

Information Sciences, 2010
The authors study filters, Boolean filters (implicative filters), G-filters (positive implicative filters), MV-filters (fantastic filters) and also the corresponding fuzzy filters, fuzzy Boolean filters (fuzzy implicative filters), fuzzy G-filters (fuzzy positive implicative filters), fuzzy MV-filters (fuzzy fantastic filters) of a residuated lattice ...
Yiquan Zhu, Yang Xu 0001
exaly   +3 more sources

The subvariety of commutative residuated lattices represented by twist-products

Algebra Universalis, 2014
Manuela Busaniche, Roberto Cignoli
exaly  

Free-decomposability in Varieties of Pseudocomplemented Residuated Lattices

Studia Logica, 2011
exaly  

Nilpotent Elements of Residuated Lattices [PDF]

International Journal of Mathematics and Mathematical Sciences, 2012
Some properties of the nilpotent elements of a residuated lattice are studied. The concept of cyclic residuated lattices is introduced, and some related results are obtained.
Shokoofeh Ghorbani, Lida Torkzadeh
doaj   +3 more sources

Residuated Structures and Orthomodular Lattices [PDF]

Studia Logica, 2021
The variety of (pointed) residuated lattices includes a vast proportion of the classes of algebras that are relevant for algebraic logic, e.g., l-groups, Heyting algebras, MV-algebras, or De Morgan monoids.
Antonio Ledda, F Paoli
exaly   +6 more sources

Fuzzy Prime Ideal Theorem in Residuated Lattices

International Journal of Mathematics and Mathematical Sciences, 2021
This paper mainly focuses on building the fuzzy prime ideal theorem of residuated lattices. Firstly, we introduce the notion of fuzzy ideal generated by a fuzzy subset of a residuated lattice and we give a characterization.
Pierre Carole Kengne, Blaise Blériot Koguep, Celestin Lele   +2 more
doaj   +3 more sources

The Structure of Semiconic Idempotent Commutative Residuated Lattices

Mathematics
In this paper, we study semiconic idempotent commutative residuated lattices. After giving some properties of such residuated lattices, we obtain a structure theorem for semiconic idempotent commutative residuated lattices. As an application, we make use
Wei Chen
exaly   +4 more sources

Regular Partial Residuated Lattices and Their Filters

Mathematics, 2022
To express wider uncertainty, Běhounek and Daňková studied fuzzy partial logic and partial function. At the same time, Borzooei generalized t-norms and put forward the concept of partial t-norms when studying lattice valued quantum effect algebras. Based
Nan Sheng, Xiaohong Zhang
doaj   +2 more sources

On Semitopological De Morgan Residuated Lattices [PDF]

Transactions on Fuzzy Sets and Systems, 2023
The class of De Morgan residuated lattices was introduced by L‎. ‎C‎. ‎Holdon (Kybernetika 54(3):443-475‎, ‎2018)‎, ‎recently‎, ‎many mathematicians have studied the theory of ideals or filters in De Morgan residuated lattices and some of them ...
Liviu-Constantin Holdon
doaj   +2 more sources