Pawlak's Many Valued Information System, Non-deterministic Information System, and a Proposal of New Topics on Information Incompleteness Toward the Actual Application

• Published in: Thriving Rough Sets Vol. 708; pp. 187 - 204
• Main Authors: Sakai, Hiroshi, Nakata, Michinori, Yao, Yiyu
• Format: Book Chapter
• Language: English
• Published: Switzerland Springer International Publishing AG 2017; Springer International Publishing
• Series: Studies in Computational Intelligence
• Subjects: Actual Application; Apriori Algorithm; Information Incompleteness; Uncertain Data; World Semantic
• ISBN: 9783319549651; 3319549650
• ISSN: 1860-949X; 1860-9503
• DOI: 10.1007/978-3-319-54966-8_9

This chapter considers Pawlak’s Many Valued Information System (MVIS), Non-deterministic Information System (NIS), and related new topics on information incompleteness toward the actual application. Pawlak proposed rough sets, which were originally defined in a standard table, however his research in non-standard tables like MVIS and NIS is also seen. Since rough sets have been known to many researchers deeply and several software tools have been proposed until now, it will be necessary to advance from this research on a standard table to research on MVIS and NIS, especially in regards to NIS. In this chapter, previous research is surveyed and new topics toward the actual application of NIS are proposed, namely data mining under various types of uncertainty, rough set-based estimation of an actual value, machine learning by rule generation, information dilution, and an application to privacy-preserving questionnaire, in NIS. Such new topics will further extend the role of Pawlak’s rough sets.