Many Valued Algebraic Structures as the Measures for Comparison

  • Authors:

  • Kalle O. Saastamoinen

  • Affiliations:

  • Lappeenranta University of Technology, kalle.saastamoinen@lut.fi

  • Venue:
  • Proceedings of the 2006 conference on Integrated Intelligent Systems for Engineering Design
  • Year:
  • 2006

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Abstract

In this chapter we will study properties and usability of basic many valued structures called t-norms, t-conorms, implications and equivalences in comparison tasks. We will show how these measures can be aggregated with generalized mean and what kind of measures for comparison can be achieved from this procedure. New classes for comparison measures are suggested, which are combination measure based on the use of t-norms and t-conorms and pseudo equivalence measures based on S-type implications. In experimental part of this chapter we will show how some of the comparison measures presented here work in comparison task. For comparison task we use classification. We show by comparison to results that can be achieved through some known public domain classifier results that our classification results are highly competitive.