Computing Bonds Between Formal Contexts

IF 2 3区数学 Q1 MATHEMATICS, APPLIED

Mathematical Methods in the Applied Sciences Pub Date : 2026-07-02 Epub Date: 2026-03-10 DOI:10.1002/mma.70597

Roberto G. Aragón, Jesús Medina, Samuel Molina-Ruiz

引用次数: 0

Abstract

The notion of bond was introduced as a technique to aggregate information from multiple datasets without modifying the information already present in each of the datasets. This notion has been extended to several fuzzy frameworks, including the residuated lattice setting, which we also consider in this paper. While most studies on bonds have emphasized their role in aggregating contexts, relatively little attention has been given to how they can be effectively computed. In this paper, we address this gap by introducing algorithms to compute all bonds between two contexts in both the classical and residuated lattice setting.

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bond的概念是作为一种聚合来自多个数据集的信息而不修改每个数据集中已经存在的信息的技术而引入的。这一概念已推广到若干模糊框架，包括本文所考虑的剩余格集。虽然大多数关于债券的研究都强调了它们在聚合环境中的作用，但相对较少的关注是如何有效地计算它们。在本文中，我们通过引入算法来计算经典和剩余晶格设置中两个上下文之间的所有键来解决这一差距。

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来源期刊

Mathematical Methods in the Applied Sciences 数学-应用数学

CiteScore

4.90

自引率

6.90%

发文量

798

审稿时长

6 months

期刊介绍： Mathematical Methods in the Applied Sciences publishes papers dealing with new mathematical methods for the consideration of linear and non-linear, direct and inverse problems for physical relevant processes over time- and space- varying media under certain initial, boundary, transition conditions etc. Papers dealing with biomathematical content, population dynamics and network problems are most welcome. Mathematical Methods in the Applied Sciences is an interdisciplinary journal: therefore, all manuscripts must be written to be accessible to a broad scientific but mathematically advanced audience. All papers must contain carefully written introduction and conclusion sections, which should include a clear exposition of the underlying scientific problem, a summary of the mathematical results and the tools used in deriving the results. Furthermore, the scientific importance of the manuscript and its conclusions should be made clear. Papers dealing with numerical processes or which contain only the application of well established methods will not be accepted. Because of the broad scope of the journal, authors should minimize the use of technical jargon from their subfield in order to increase the accessibility of their paper and appeal to a wider readership. If technical terms are necessary, authors should define them clearly so that the main ideas are understandable also to readers not working in the same subfield.