Results 81 to 90 of about 176 (149)

State filters in state residuated lattices [PDF]

Categories and General Algebraic Structures with Applications, 2019
In this paper, we introduce the notions of prime state filters, obstinate state filters, and primary state filters in state residuated lattices and study some properties of them.
Zahra Dehghani, Fereshteh Forouzesh
doaj  

Fuzzy Weak Regular, Strong and Preassociative Filters in Residuated Lattices

Fuzzy Information and Engineering, 2014
In this paper, the notions of fuzzy weak regular, strong and preassociative filters are introduced with some properties of them investigated. In particular, under the context of Glivenko algebras, fuzzy weak regular filters and regular ones are ...
Wei Yang
doaj   +1 more source

Uniqueness Theorem in Complete Residuated Almost Distributive Lattices

Discussiones Mathematicae - General Algebra and Applications, 2019
Important properties of primary elements in a complete residuated ADL L and the uniqueness theorem in a complete complemented residuated ADL L are proved.
Rao G.C., Raju S.S.
doaj   +1 more source

Optimised ExpTime Tableaux for 𝒮ℋℐ𝒩 over Finite Residuated Lattices

Journal of Applied Mathematics, 2014
This study proposes to adopt a novel tableau reasoning algorithm for the description logic 𝒮ℋℐ𝒩 with semantics based on a finite residuated De Morgan lattice.
Jian Huang, Xinye Zhao, Jianxing Gong
doaj   +1 more source

Pointed Lattice Subreducts of Varieties of Residuated Lattices

Order
Abstract We study the pointed lattice subreducts of varieties of residuated lattices (RLs) and commutative residuated lattices (CRLs), i.e. lattice subreducts expanded by the constant $$\textsf{1}$$
openaire   +3 more sources

Normal filters in residuated lattices

Le Matematiche, 2015
Residuated lattices play an important role in the study of fuzzy logic. In the present paper, we introduce the notion of a normal filter in a residuated lattice and give some characterizations of them.
Lida Torkzadeh, A. Ahadpanah
doaj  

Remarks on some connections between ideals and filters in residuated lattices

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Ideals and filters are important notions with different meanings in the study of algebraic structures related to logical systems. In this paper we establish new connections between these concepts in residuated lattices.
Piciu Dana, Dan Christina, Boboc Florentina   +2 more
doaj   +1 more source

Relational groupoids and residuated lattices

EPiC Series in Computing, 2018
A quite general order-theoretical approach to implicative structures leads to consider implicative groupoids, which form a wide class of algebras including residuated lattices and their reasonable generalizations. Implicative groupoids find out to be special instances of suitable relational systems and are objects of categories, semicategories and ...
openaire   +2 more sources

Generalized rough and fuzzy rough automata for semantic computing. [PDF]

Int J Mach Learn Cybern, 2022
Yadav S, Tiwari SP, Kumari M, Yadav VK.
europepmc   +1 more source

Fuzzy logical algebras and their applications. [PDF]

ScientificWorldJournal, 2015
Zhan J, Davvaz B, Dudek WA, Jun YB, Kim HS.   +4 more
europepmc   +1 more source