Results 51 to 60 of about 2,056 (173)
Folding Theory Applied to Residuated Lattices
International Journal of Mathematics and Mathematical Sciences, 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 ...
Albert Kadji +3 more
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Lifting Elements in Coherent Quantales [PDF]
Transactions on Fuzzy Sets and Systems, 2022 An ideal I of a ring R is a lifting ideal if the idempotents of R can be lifted modulo I. A rich literature has been dedicated to lifting ideals. Recently, new algebraic and topological results on lifting ideals have been discovered.
George Georgescu
doaj +1 more source
Towards a generalisation of formal concept analysis for data mining purposes [PDF]
, 2006 In this paper we justify the need for a generalisation of Formal Concept Analysis for the purpose of data mining and begin the synthesis of such theory.
A. Burusco +8 more
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The Reticulation of a Universal Algebra [PDF]
, 2017 The reticulation of an algebra $A$ is a bounded distributive lattice ${\cal L}(A)$ whose prime spectrum of filters or ideals is homeomorphic to the prime spectrum of congruences of $A$, endowed with the Stone topologies.
Georgescu, George, Mureşan, Claudia
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Cancellative residuated lattices [PDF]
Algebra Universalis, 2003 A residuated lattice is a structure \({\mathbf L}=\langle L,\wedge ,\vee ,\cdot ,e,\backslash ,/ \rangle \) such that \(\langle L,\wedge ,\vee \rangle \) is a lattice, \(\langle L,\cdot ,e \rangle \) is a monoid and for all \(a,b,c\in L\), \(a\cdot b\leq c\)\ \ iff\ \ \(a\leq c/b\)\ \ iff\ \ \(b\leq a\backslash c\). \(\mathbf L\) is called cancellative
Bahls, P. +4 more
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Mp- and purified residuated lattices
Soft Computing, 2022 Abstract In this paper, a combination of algebraic and topological methods is applied to obtain new and structural results on mp and purified residuated lattices. It is demonstrated that mp-residuated lattices strongly tied up with the dual hull-kernel topology.
Saeed Rasouli, Amin Dehghani
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Neutrosophic Pseudo-t-Norm and Its Derived Neutrosophic Residual Implication [PDF]
Neutrosophic Sets and Systems, 2023 First of all, on the basis of complete lattice, the concept of neutrosophic pseudo-t-norm (NPT) is given. Definitions and examples of representable neutrosophic pseudo-t-norms (RNPTs) are given, while unrepresentable neutrosophic pseudo-t-norms (UNPTs ...
Hongru Bu, Qingqing Hu, Xiaohong Zhang
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Co-stone Residuated Lattices [PDF]
2010 40th IEEE International Symposium on Multiple-Valued Logic, 2010 33 ...
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Coalgebraic completeness-via-canonicity for distributive substructural logics [PDF]
, 2016 We prove strong completeness of a range of substructural logics with respect to a natural poset-based relational semantics using a coalgebraic version of completeness-via-canonicity.
Dahlqvist, Fredrik, Pym, David
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Implication functions in interval-valued fuzzy set theory [PDF]
, 2013 Interval-valued fuzzy set theory is an extension of fuzzy set theory in which the real, but unknown, membership degree is approximated by a closed interval of possible membership degrees.
Deschrijver, Glad
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