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How to Fuse Expert Knowledge: Not Always “And” but a Fuzzy Combination of “And” and “Or”

  • Christian Servin
  • Olga Kosheleva
  • Vladik KreinovichEmail author
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1000)

Abstract

In the non-fuzzy (e.g., interval) case, if two expert’s opinions are consistent, then, as the result of fusing the knowledge of these two experts, we take the intersection of the two sets (e.g., intervals) describing the expert’s opinions. In the experts are inconsistent, i.e., if the intersection is empty, then a reasonable idea is to assume that at least one of these experts is right, and thus, to take the union of the two corresponding sets. In practice, expert opinions are often imprecise; this imprecision can be naturally described in terms of fuzzy logic – a technique specifically designed to describe such imprecision. In the fuzzy case, expert opinions are not always absolutely consistent or absolutely inconsistent, they may be consistent to a certain degree. In this case, we show how the above natural idea of fusing expert opinions can be extended to the fuzzy case. As a result, we, in general, get not “and” (which would correspond to the intersection), not “or” (which would correspond to the union), but rather an appropriate fuzzy combination of “and”- and “or”-operations.

Notes

Acknowledgments

This work was supported in part by the US National Science Foundation via grant HRD-1242122 (Cyber-ShARE Center of Excellence).

The authors are thankful to the anonymous referees for valuable suggestions.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Christian Servin
    • 1
  • Olga Kosheleva
    • 2
  • Vladik Kreinovich
    • 2
    Email author
  1. 1.Computer Science and Information Technology Systems DepartmentEl Paso Community CollegeEl PasoUSA
  2. 2.University of Texas at El PasoEl PasoUSA

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