Multiary α-resolution principle for a lattice-valued logic

Y Xu, J Liu, X Zhong, S Chen - IEEE Transactions on Fuzzy …, 2012 - ieeexplore.ieee.org
This paper focuses on resolution-based automated reasoning theory in a lattice-valued logic
system with truth values that are defined in a lattice-valued logical algebraic structure-lattice …

An axiomatizable logical foundation for lattice-ordered qualitative linguistic approach for reasoning with words

J Liu, W Li, S Chen, Y Xu - Information Sciences, 2014 - Elsevier
It is commonsense that people do express, think, reason, and make decision directly using
linguistic terms in natural language rather than using numerical quantification. How to …

α-Generalized lock resolution method in linguistic truth-valued lattice-valued logic

X He, Y Xu, J Liu, S Chen - International Journal of Computational …, 2012 - Springer
This paper focuses on efficient non-clausal resolution-based automated reasoning methods
and algorithms for a lattice-ordered linguistic truth-valued logic, which corresponds to …

2-Dimension Linguistic Lattice Implication Algebra

H Zhu, J Zhao, W Chang, Y Xu - 2015 10th International …, 2015 - ieeexplore.ieee.org
This paper concerns the representation of the linguistic evaluation set, which is often a total
order set for its simple structure and operations. However, in some uncertain situations, the …

Non-Clausal Multi-ary α-Generalized Resolution Calculus for a Finite Lattice-Valued Logic

Y Xu, J Liu, X He, X Zhong, S Chen - International Journal of …, 2018 - Springer
Due to the need of the logical foundation for uncertain information processing, development
of efficient automated reasoning system based on non-classical logics is always an active …

(α, β)-Ordered linear resolution of intuitionistic fuzzy propositional logic

L Zou, XN Li, C Pan, X Liu - Information Sciences, 2017 - Elsevier
This paper presents an approach for (α, β)-resolution-based automated reasoning in
intuitionistic fuzzy propositional logic (IFL). In IFL systems, every IFL formula with both a truth …

A decision making approach with linguistic weight and unavoidable incomparable ranking

Y Zhang, D Huang, W Gao, VG Kaburlasos - International Journal of …, 2019 - Springer
In order to deal with the decision making problem including some linguistic values
uncertainty information, we propose an approach for decision making with linguistic …

On the algebraic structure of binary lattice-valued fuzzy relations

X Pan, Y Xu - Soft Computing, 2013 - Springer
From a general algebraic point of view, this paper aims at providing an algebraic analysis for
binary lattice-valued relations based on lattice implication algebras—a kind of lattice-valued …

基于语言值相似度推理的网络商家自评价方法

崔晓松, 王颖, 孟佳, 邹丽 - 山东大学学报(工学版), 2017 - gxbwk.njournal.sdu.edu.cn
为更合理的表示不确定性知识ꎬ 在格蕴涵代数的基础上ꎬ 运用不同程度的语气词表达一个模糊
命题的真值程度ꎬ 建立一个基于2n 元语言值格值一阶逻辑的知识表示模型ꎮ …

[PDF][PDF] a-Paramodulation Method for a Lattice-Valued Logic LnF (X) with Equality

X He, Y Xu, J Liu, Y Li - core.ac.uk
In this paper, a-paramodulation and a-GH paramodulation methods are proposed for
handling logical formulas with equality in a lattice-valued logic LnF (X), which has unique …