A Simple Method of Calculating the Choquet Integral using T-formula
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- TSUKAMOTO Yahachiro
- Emeritus Professor, Meijo University
Bibliographic Information
- Other Title
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- Choquet積分のT-formulaによる簡単計算
Abstract
As for the other expressions of the Choquet integral with respect to non-additive measures, there are the ones using the Inclusion-exclusion integral or Möbius transform. In this paper another expression called T-formula is shown, which was proposed in 2013 by the author. In order to calculate the Choquet integral with respect to capacities, permutation is required in advance. Using this formula, such a permutation is not necessary. The purposes of this paper are to show that the Choquet integral is derived from the T-formula and to propose an easy method of calculating the Choquet integral using the T-formula with an example, where it suffices to use only the database function in Excel 2007 to obtain the solution.
Journal
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- Journal of Japan Society for Fuzzy Theory and Intelligent Informatics
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Journal of Japan Society for Fuzzy Theory and Intelligent Informatics 28 (2), 583-587, 2016
Japan Society for Fuzzy Theory and Intelligent Informatics
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Details 詳細情報について
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- CRID
- 1390282680162810368
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- NII Article ID
- 130005147697
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- ISSN
- 18817203
- 13477986
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- Text Lang
- ja
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- Data Source
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- JaLC
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed