Some inequalities and convergence theorems for Choquet integrals View Full Text


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Article Info

DATE

2009-11-06

AUTHORS

Rui-Sheng Wang

ABSTRACT

Fuzzy measure (or non-additive measure), which has been comprehensively investigated, is a generalization of additive probability measure. Several important kinds of non-additive integrals have been built on it. Integral inequalities play important roles in classical probability and measure theory. In this paper, we discuss some of these inequalities for one kind of non-additive integrals—Choquet integral, including Markov type inequality, Jensen type inequality, Hölder type inequality and Minkowski type inequality. As applications of these inequalities, we also present several convergence concepts and convergence theorems as complements to Choquet integral theory. More... »

PAGES

305-321

References to SciGraph publications

  • 1992. Fuzzy Measure Theory in NONE
  • 1994. Non-Additive Measure and Integral in NONE
  • 2008-09-30. On the properties of sequences of fuzzy-valued Choquet integrable functions in FUZZY OPTIMIZATION AND DECISION MAKING
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s12190-009-0358-y

    DOI

    http://dx.doi.org/10.1007/s12190-009-0358-y

    DIMENSIONS

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