开发互补的粗包含函数

IF 1 Q1 MATHEMATICS

Formalized Mathematics Pub Date : 2020-04-01 DOI:10.2478/forma-2020-0009

Adam Grabowski

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引用次数: 0

摘要

我们继续对粗糙包含函数(rif)的形式化发展，继续对粗糙集形式化的研究[15]-一种众所周知的不完全或部分未知信息建模工具。在本文中，我们根据Gomolińska[4]的一篇论文给出互补rif的形式化表征。我们扩展了这个框架，引入了Jaccard指数、Steinhaus生成度量和Marczewski-Steinhaus度量空间[1]。这是[9]的延续;此外，我们还实现了[2]，[3]的一部分，这项工作的细节可以在[7]中找到。

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Developing Complementary Rough Inclusion Functions

Summary We continue the formal development of rough inclusion functions (RIFs), continuing the research on the formalization of rough sets [15] – a well-known tool of modelling of incomplete or partially unknown information. In this article we give the formal characterization of complementary RIFs, following a paper by Gomolińska [4]. We expand this framework introducing Jaccard index, Steinhaus generate metric, and Marczewski-Steinhaus metric space [1]. This is the continuation of [9]; additionally we implement also parts of [2], [3], and the details of this work can be found in [7].

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来源期刊

Formalized Mathematics MATHEMATICS-

自引率

0.00%

发文量

审稿时长

10 weeks

期刊介绍： Formalized Mathematics is to be issued quarterly and publishes papers which are abstracts of Mizar articles contributed to the Mizar Mathematical Library (MML) - the basis of a knowledge management system for mathematics.