Results 31 to 40 of about 190 (76)
Vague Congruences and Quotient Lattice Implication Algebras
The Scientific World Journal, Volume 2014, Issue 1, 2014., 2014 The aim of this paper is to further develop the congruence theory on lattice implication algebras. Firstly, we introduce the notions of vague similarity relations based on vague relations and vague congruence relations. Secondly, the equivalent characterizations of vague congruence relations are investigated.
Xiaoyan Qin +3 more
wiley +1 more source
Folding Theory Applied to Residuated Lattices
International Journal of Mathematics and Mathematical Sciences, Volume 2014, Issue 1, 2014., 2014 Residuated lattices play an important role in the study of fuzzy logic based on t‐norms. In this paper, we introduce some notions of n‐fold filters in residuated lattices, study the relations among them, and compare them with prime, maximal and primary, filters. This work generalizes existing results in BL‐algebras and residuated lattices, most notably
Albert Kadji +4 more
wiley +1 more source
A common framework for lattice-valued uniform spaces and probabilistic uniform limit spaces [PDF]
, 2008 We study a category of lattice-valued uniform convergence spaces where the lattice is enriched by two algebraic operations. This general setting allows us to view the category of lattice-valued uniform spaces as a reflective subcategory of our category ...
Craig, Andrew, Jäger, Gunter
core +2 more sources
Classes of Int‐Soft Filters in Residuated Lattices
The Scientific World Journal, Volume 2014, Issue 1, 2014., 2014 The notions of int‐soft filters, int‐soft G‐filters, regular int‐soft filters, and MV‐int‐soft filters in residuated lattices are introduced, and their relations, properties, and characterizations are investigated. Conditions for an int‐soft filter to be an int‐soft G‐filter, a regular int‐soft filter, or an MV‐int‐soft filter are provided.
Young Bae Jun +3 more
wiley +1 more source
An Investigation on Algebraic Structure of Soft Sets and Soft Filters over Residuated Lattices
International Scholarly Research Notices, Volume 2014, Issue 1, 2014., 2014 We introduce the notion of soft filters in residuated lattices and investigate their basic properties. We investigate relations between soft residuated lattices and soft filter residuated lattices. The restricted and extended intersection (union), ∨ and ∧‐intersection, cartesian product, and restricted and extended difference of the family of soft ...
S. Rasouli +4 more
wiley +1 more source
Optimised ExpTime Tableaux for 𝒮ℋℐ𝒩 over Finite Residuated Lattices
Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 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. The syntax, semantics, and logical properties of this logic are given, and a sound, complete, and terminating tableaux algorithm for deciding fuzzy ABox consistency and concept satisfiability ...
Jian Huang +3 more
wiley +1 more source
Hesitant Fuzzy Soft Subalgebras and Ideals in BCK/BCI‐Algebras
The Scientific World Journal, Volume 2014, Issue 1, 2014., 2014 As a link between classical soft sets and hesitant fuzzy sets, the notion of hesitant fuzzy soft sets is introduced and applied to a decision making problem in the papers by Babitha and John (2013) and Wang et al. (2014). The aim of this paper is to apply hesitant fuzzy soft set for dealing with several kinds of theories in BCK/BCI‐algebras.
Young Bae Jun +3 more
wiley +1 more source
Soft Constraints Processing over Divisible Residuated Lattices [PDF]
, 2009 We claim that divisible residuated lattices (DRLs) can act as a unifying evaluation framework for soft constraint satisfaction problems (soft CSPs). DRLs form the algebraic semantics of a large family of substructural and fuzzy logics [13,15], and are therefore natural candidates for this role.
openaire +1 more source
Some Remarks Regarding MTL and Divisible Residuated Algebras
MathematicsDivisible residuated lattices and MTL algebras are algebraic structures connected with algebras in t-norm-based fuzzy logics, being examples of residuated lattices. They are an important topic in the study of fuzzy logic.
Cristina Flaut, Dana Piciu, Radu Vasile
doaj +1 more source
On a New Construction of Pseudo BL-Algebras [PDF]
, 2014 We present a new construction of a class pseudo BL-algebras, called kite pseudo BL-algebras. We start with a basic pseudo hoop $A$. Using two injective mappings from one set, $J$, into the second one, $I$, and with an identical copy $\overline A$ with ...
Dvurečenskij, Anatolij
core