Filteristic Soft Lattice Implication Algebras
Applying the idea of soft set theory to lattice implication algebras, the novel concept of (implicative) filteristic soft lattice implication algebras which related to (implicative) filter(for short, (IF-)F-soft lattice implication algebras) are introduced. Basic properties of (IF-)F-soft lattice implication algebras are derived.
Yi Liu, Yang Xu
openaire +3 more sources
On upper modular subalgebras of a Lie algebra. [PDF]
This paper is a further contribution to the extensive study by a number of authors of the subalgebra lattice of a Lie algebra. We give some necessary and some sufficient conditions for a subalgebra to be upper modular.
Bowman, Kevin +2 more
core +4 more sources
α-Generalized Semantic Resolution Method in Linguistic Truth-valued Propositional Logic P(X) [PDF]
This paper is focused on α-generalized semantic resolution automated reasoning method in linguistic truth-valued lattice-valued propositional logic.
Jiafeng Zhang, Yang Xu, Xingxing He
doaj +1 more source
On semi-modular subalgebras of Lie algebras over fields of arbitrary characteristic. [PDF]
This paper is a further contribution to the extensive study by a number of authors of the subalgebra lattice of a Lie algebra. It is shown that, in certain circumstances, including for all solvable algebras, for all restricted Lie algebras over ...
Towers, David A.
core +4 more sources
Linguistic-Valued Approximate Reasoning With Lattice Ordered Linguistic-Valued Credibility [PDF]
Linguistic terms are often used to represent the truth degree or credibility degree to manage the uncertainty or imprecision as one of popular ways of knowledge representation in the perception-based decision making problem.
Li Zou, Yunxia Zhang, Xin Liu
doaj +1 more source
α-Resolution Method for Lattice-valued Horn Generalized Clauses in Lattice-valued Propositional Logic Systems [PDF]
In this paper, an α-resolution method for a set of lattice-valued Horn generalized clauses is established in lattice-valued propositional logic system ℒ P(X) based on lattice implication algebra.
Weitao Xu +4 more
doaj +1 more source
From Intuitionism to Brouwer's Modal Logic
We try to translate the intuitionistic propositional logic INT into Brouwer's modal logic KTB. Our translation is motivated by intuitions behind Brouwer's axiom p →☐◊p The main idea is to interpret intuitionistic implication as modal strict implication ...
Zofia Kostrzycka
doaj +1 more source
α-Generalized lock resolution method in linguistic truth-valued lattice-valued logic [PDF]
This paper focuses on effcient non-clausal resolution-based automated reasoning methods and algorithms for a lattice-ordered linguistic truth-valued logic, which corresponds to extensions of α-lock resolution.
Xingxing He +3 more
doaj +1 more source
α-Minimal Resolution Principle For A Lattice-Valued Logic [PDF]
Based on the academic ideas of resolution-based automated reasoning and the previously established research work on binary α-resolution based automated reasoning schemes in the framework of lattice-valued logic with truth-values in a lattice ...
Hairui Jia, Yang Xu, Yi Liu, Jun Liu
doaj +1 more source
On Lie algebras all of whose minimal subalgebras are lower modular. [PDF]
The main purpose of this paper is to study Lie algebras L such that if a subalgebra U of L has a maximal subalgebra of dimension one then every maximal subalgebra of U has dimension one. Such an L is called lm(0)-algebra.
Kevin Bowman +5 more
core +4 more sources

