Journal article
On blocks and coverings based on semi-equivalence relation in pansystems methodology
Kybernetes, v 37(6), pp 739-748
17 Jun 2008
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
Purpose - The purpose of this paper is to construct diverse granules and coverings derived from a semi-equivalence class and then to reveal the relationships between granules and coverings and even relations, and to help one to study pansystems relations in a trans-cross view.Design methodology approach - Forms regarding semi-equivalence classes as primitives, blocks or granules such as tolerance class, join class, meet class, optimist pessimist selected compatible class, and tolerantly kernel class in an incomplete information system are defined and compared. Different approximations are also introduced. Furthermore, diverse coverings are also suggested.Findings - A tolerance class of an object is proved to be the join of semi-equivalence classes containing it, i.e. a result of acting union operation on some primitive classes. A compatibly kernel class of an object is a meet of semi-equivalence classes including it, i.e. a result of acting intersection operation on some primitive classes. Related coverings can also be regarded as coverings derived from the covering consisting of primitive granules. Several necessary and or sufficient conditions for a general covering to become a semi-equivalence or complete covering are obtained. Meaningful property and relationship results are also exploited.Practical implications - Constructing diverse granules naturally from an incomplete information system to form a different knowledge expression system looks promising for data mining in the information society. It widens the approach and schema.Originality value - The paper shows that the formation process of granules is natural, newly defined, and not similar and theoretic to those existing in a neighborhood system. The relationship between diverse granules and coverings is described by mathematical theorems in sufficient or necessary condition form.
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1 citations in Scopus
Details
- Title
- On blocks and coverings based on semi-equivalence relation in pansystems methodology
- Creators
- Chen Wu - School of Electronics & Information, East China Shipbuilding Institute, Zhenjiang, People's Republic of ChinaXiaohua Hu - College of Information Science and Technology, Drexel University, Philadelphia, Pennsylvania, USAJingyu Yang - Department of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing, People's Republic of China
- Publication Details
- Kybernetes, v 37(6), pp 739-748
- Publisher
- Emerald Group Publishing Limited
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Information Science
- Web of Science ID
- WOS:000257527800004
- Scopus ID
- 2-s2.0-45249124685
- Other Identifier
- 991014878532404721
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Computer Science, Cybernetics