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A Fuzzy Measure Identification Method by Diamond Pairwise Comparisons: AHP Scales and Grabish’s Graphical Interpretation

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Book cover Knowledge-Based Intelligent Information and Engineering Systems (KES 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4694))

Abstract

We propose an identification method of fuzzy measures by diamond pairwise comparisons. Right and left side of the diamond means ordinal weights’ comparison and up and down means interaction degrees. From the comparisons, we estimate a hierarchy diagram with interaction degrees and weights of evaluation items and the fuzzy measure of the diagram. In this paper, we compare the two interpretations of the diamond, AHP scales and Grabish’s graphical interpretation.

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References

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Bruno Apolloni Robert J. Howlett Lakhmi Jain

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© 2007 Springer-Verlag Berlin Heidelberg

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Takahagi, E. (2007). A Fuzzy Measure Identification Method by Diamond Pairwise Comparisons: AHP Scales and Grabish’s Graphical Interpretation. In: Apolloni, B., Howlett, R.J., Jain, L. (eds) Knowledge-Based Intelligent Information and Engineering Systems. KES 2007. Lecture Notes in Computer Science(), vol 4694. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74829-8_39

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  • DOI: https://doi.org/10.1007/978-3-540-74829-8_39

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74828-1

  • Online ISBN: 978-3-540-74829-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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