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首页> 外文期刊>Arabian Journal for Science and Engineering >Interval-Valued Neutrosophic Graph Representation of Concept Lattice and Its (α, β, γ )-Decomposition
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Interval-Valued Neutrosophic Graph Representation of Concept Lattice and Its (α, β, γ )-Decomposition

机译：概念格的区间值中智图表示及其（α，β，γ）分解

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摘要

Recently, three-way representation of fuzzy concept lattice is introduced to characterize the uncertainty and vagueness in the given data set based on its acceptation, rejection and uncertain regions, by a well-defined single-valued neutrosophic set. This paper put forward effort to deal with partial ignorance in the given three-way fuzzy context using the properties of interval-valued neutrosophic set and its graphical properties. The objective is to discover some of the important hidden patterns (i.e. formal concepts) in the interval-valued neutrosophic context, and visualize their super-sub-concept hierarchical-order reflection in the concept lattice. To achieve this goal, a method is proposed to generate the interval-valued neutrosophic formal concepts based on properties of interval-valued neutrosophic set, interval-valued neutrosophic graph and concept lattice. Another method is proposed to refine some of the important patterns (i.e. interval-valued neutrosophic formal concepts) at user-defined ()-cut for their truth (i.e. -cut), indeterminacy (i.e. -cut) and falsity (i.e. -cut) membership value, independently. In addition to that, both of the proposed methods are demonstrated with an illustrative example.
机译：最近，引入了模糊概念格的三向表示法，通过定义明确的单值中智集，基于给定数据集的接受度，拒绝度和不确定性区域来表征给定数据集中的不确定性和模糊性。本文提出了利用区间值中智集的性质及其图形性质来处理给定三向模糊上下文中的部分无知的方法。目的是在区间值中智上下文中发现一些重要的隐藏模式（即形式概念），并在概念格中可视化它们的超子概念层次顺序反射。为了实现这一目标，提出了一种基于区间值中智集，区间值中智图和概念格的性质生成区间值中智形式概念的方法。提出了另一种方法，以根据用户定义的（-cut）的真实性（即-cut），不确定性（即-cut）和虚假（即-cut）来完善一些重要的模式（即区间值中智形式概念）。会员价值，独立。除此之外，两个示例性方法都通过一个示例性示例进行了演示。

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