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Developing Complementary Rough Inclusion Functions

Formalized Mathematics

Volume 28 (2020): Issue 1 (April 2020)

By: Adam Grabowski

Open Access

|May 2020

Abstract

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].

References

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Articles in this issue

DOI: https://doi.org/10.2478/forma-2020-0009 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630

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Language: English

Page range: 105 - 113

Accepted on: Feb 26, 2020

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Published on: May 29, 2020

Published by: University of Białystok

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

rough inclusion function,

Steinhaus generate metric

Related subjects:

Computer sciences,

Computer sciences, other,

General mathematics

© 2020 Adam Grabowski, published by University of Białystok
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.

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