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Calculation method of nonmonotonic interval-valued and fuzzy-valued Choquet integrals | IEEE Conference Publication | IEEE Xplore

Calculation method of nonmonotonic interval-valued and fuzzy-valued Choquet integrals


Abstract:

A relative effective approach to calculate the Choquet integral of fuzzy-valued function with nonmonotonic fuzzy measure is proposed. Base on the connection between the C...Show More

Abstract:

A relative effective approach to calculate the Choquet integral of fuzzy-valued function with nonmonotonic fuzzy measure is proposed. Base on the connection between the Choquet integral value of the real-valued function and the Choquet integral values of its order-preserving functions, it is shown that the minimum and maximum of the integration of interval-valued function must be reached by ones of the critical cut point generated functions of the interval-valued integrand. With the MATLAB software, the efficiency and reliability of the proposed method in solving the nonmonotonic Choquet integral of fuzzy-valued function is demonstrated by the illustrative examples.
Date of Conference: 10-12 August 2010
Date Added to IEEE Xplore: 09 September 2010
ISBN Information:
Conference Location: Yantai, China

References

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