Related papers: Granule Description based on Compound Concepts

Granule Description based on Compound Concepts

URL: http://arxiv.org/abs/2111.00004v1
Date: Fri, 29 Oct 2021 01:56:29 GMT
Title: Granule Description based on Compound Concepts
Authors: Jianqin Zhou, Sichun Yang, Xifeng Wang and Wanquan Liu
Abstract summary: We propose two new types of compound concepts in this paper: bipolar concept and common-and-necessary concept. We have derived concise and unified equivalent conditions for describable granules and approaching description methods for indescribable granules for all five kinds of concepts.
Score: 5.657202839641533
License: http://creativecommons.org/licenses/by/4.0/
Abstract: Concise granule descriptions for describable granules and approaching description methods for indescribable granules are challenging and important issues in granular computing. The concept with only common attributes has been frequently studied. To investigate the granules with some special needs, we propose two new types of compound concepts in this paper: bipolar concept and common-and-necessary concept. Based on the definitions of concept-forming operations, the logical formulas are derived for each of the following types of concepts: formal concept, three-way concept, object oriented concept, bipolar concept and common-and-necessary concept. Furthermore, by utilizing the logical relationship among various concepts, we have derived concise and unified equivalent conditions for describable granules and approaching description methods for indescribable granules for all five kinds of concepts.

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