粗糙包含函数的形式化发展

IF 1 Q1 MATHEMATICS

Formalized Mathematics Pub Date : 2019-12-01 DOI:10.2478/forma-2019-0028

Adam Grabowski

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引用次数: 2

摘要

粗糙集由Pawlak[15]提出，是描述信息不完全或部分未知情况的重要工具。在本文中，继续粗糙集的形式化[12]，我们给出了三个粗糙包含函数(rif)的形式化表征。我们从与Łukasiewicz[14]相关的标准rif κ£开始，并在Gomolińska[4]，[3]的一篇论文之后，将本研究扩展到另外两个rif: κ1和κ2。我们还定义了q- rif和弱q- rif[2]。本文建立了[7]的正式对应物，并在Mizar[13]向粗略气象学[16]，[17]迈出了初步的一步。

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Formal Development of Rough Inclusion Functions

Summary Rough sets, developed by Pawlak [15], are important tool to describe situation of incomplete or partially unknown information. In this article, continuing the formalization of rough sets [12], we give the formal characterization of three rough inclusion functions (RIFs). We start with the standard one, κ£, connected with Łukasiewicz [14], and extend this research for two additional RIFs: κ1, and κ2, following a paper by Gomolińska [4], [3]. We also define q-RIFs and weak q-RIFs [2]. The paper establishes a formal counterpart of [7] and makes a preliminary step towards rough mereology [16], [17] in Mizar [13].

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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.