本文選題：三元概念分析 + 三元背景��； 參考：《計(jì)算機(jī)科學(xué)》2017年09期

【摘要】：三元概念分析是對(duì)形式概念分析理論的擴(kuò)展,三元背景作為其數(shù)據(jù)基礎(chǔ)在實(shí)際生活中普遍存在。三元背景所反映的三元關(guān)系是形成概念三元格的基礎(chǔ),它比形式概念分析中的二元關(guān)系更復(fù)雜,因而在此基礎(chǔ)上形成的三元概念以及概念三元格就更為復(fù)雜。對(duì)此,提出一種三元背景和概念三元格的信息簡(jiǎn)化方法,該方法將三元關(guān)系拆解為最本質(zhì)的二元關(guān)系,并在保證所有二元關(guān)系不變的基礎(chǔ)上,同時(shí)考慮三元背景的3個(gè)論域,刪減其中不必要的元素,以減少數(shù)據(jù)量,簡(jiǎn)化三元背景和概念三元格的表達(dá)方式。進(jìn)而,得到簡(jiǎn)化后概念三元格的一些性質(zhì)以及簡(jiǎn)化前后三元概念的關(guān)系等理論結(jié)果,為進(jìn)一步的算法研究與應(yīng)用以及更深入的理論分析工作奠定基礎(chǔ)。
[Abstract]:The three element concept analysis is an extension of the theory of formal concept analysis. The three yuan background is common in real life as its data base. The three yuan relationship reflected by the three yuan background is the basis for the formation of the concept three element lattice. It is more complex than the two yuan relationship in the formal concept analysis, and the concept and concept of the three yuan formed on this basis are based on the concept and concept. The three element lattice is more complex. A method of information simplification of the three element background and the concept three element lattice is proposed. The method dissolves the three element relationship into the most essential two element relation, and on the basis of ensuring that all the two yuan relations are unchanged, and the 3 domains of the three Yuan background are considered, and the unnecessary elements are deleted to reduce the amount of data and simplify the simplification. The three element background and the concept of the concept of the three element lattice, and then get some properties of the simplified concept three lattice and the relationship between the simplified concept of three yuan and so on, which lays the foundation for the further research and application of the algorithm and the more in-depth theoretical analysis.
【作者單位】： 西安電子科技大學(xué)計(jì)算機(jī)學(xué)院;西北大學(xué)數(shù)學(xué)學(xué)院;
【基金】：國(guó)家自然科學(xué)基金項(xiàng)目(11371014,11071281) 陜西省自然科學(xué)基礎(chǔ)研究計(jì)劃資助項(xiàng)目(2014JM8306)資助
【分類號(hào)】：O153.1
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本文編號(hào)：1991533