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A Novel View of Bipolarity in Linguistic Data Summaries

  • Janusz Kacprzyk
  • Sławomir Zadrożny
  • Mateusz Dziedzic
Chapter
Part of the Studies in Computational Intelligence book series (SCI, volume 530)

Abstract

The problem of data summarization of a set of (numeric) data, notably a (relational) database is dealt with. We are concerned with how to devise a short, (quasi) natural language summary, in the form of a sentence, which would best grasp the very content of the set of data. For instance, for a personnel database with records corresponding to particular employees who are described by attributes like age, sex, salary, etc., such a linguistic summary with respect to age may be “most employees are middle aged”. We use as a point of departure a fuzzy logic based approach to linguistic summarization originated by Yager, and then developed by Kacprzyk and Zadrożny who have also indicated—first—an intrinsic connection between linguistic summarization and fuzzy querying, and—second—a crucial role of protoforms in Zadeh’s sense. The second point of departure is the concept of a bipolar query in the sense that the querying criteria may be mandatory and optional, i.e. those which must be satisfied and those which should be satisfied if possible, as initiated by Zadrożny, and then developed by Zadrożny, Kacprzyk and De Tré. In this paper we present the concept of a bipolar linguistic summary that combines the very concepts of a linguistic summary with that of bipolarity in the above sense, and also an analogous relation between the linguistic summaries and bipolar queries.

Keywords

Bipolar query Database query Fuzzy logic Linguistic data summary  Linguistic quantifier  

Notes

Acknowledgments

Mateusz Dziedzic contribution is supported by the Foundation for Polish Science under International PhD Projects in Intelligent Computing. Project financed from The European Union within the Innovative Economy Operational Programme (2007–2013) and European Regional Development Fund.

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Janusz Kacprzyk
    • 1
    • 3
  • Sławomir Zadrożny
    • 1
    • 2
  • Mateusz Dziedzic
    • 1
    • 4
  1. 1.Systems Research InstitutePolish Academy of SciencesWarsawPoland
  2. 2.Warsaw School of Information TechnologyWarszawaPoland
  3. 3.PIAP–Industrial Research Institute of Automation and MeasurementsWarsawPoland
  4. 4.Department of Electrical and Computer EngineeringCracow University of TechnologyCracowPoland

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