GENERALIZED FUZZY VALUED $theta$-Choquet INTEGRALS AND THEIR DOUBLE-NULL ASYMPTOTIC ADDITIVITY

Authors

  • Gui-jun Wang School of Mathematics Science, Tianjin Normal University, Tianjin 300387, China
  • Xiao-ping Li School of Management, Tianjin Normal University, Tianjin 300387, China
Abstract:

The generalized fuzzy valued $theta$-Choquet integrals will beestablished for the given $mu$-integrable fuzzy valued functionson a general fuzzy measure space, and the convergence theorems ofthis kind of fuzzy valued integral are being discussed.Furthermore, the whole of integrals is regarded as a fuzzy valuedset function on measurable space, the double-null asymptoticadditivity and pseudo-double-null asymptotic additivity of thefuzzy valued set functions formed are studied when the fuzzymeasure satisfies autocontinuity from above (below).\

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Journal title

volume 9  issue 2

pages  13- 24

publication date 2012-06-08

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