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GENERALIZED FUZZY VALUED $theta$-Choquet INTEGRALS AND THEIR DOUBLE-NULL ASYMPTOTIC ADDITIVITY | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 3، دوره 9، شماره 2، شهریور 2012، صفحه 13-24 اصل مقاله (127.13 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2012.188 | ||
| نویسندگان | ||
| Gui-jun Wang* 1؛ Xiao-ping Li2 | ||
| 1School of Mathematics Science, Tianjin Normal University, Tianjin 300387, China | ||
| 2School of Management, Tianjin Normal University, Tianjin 300387, China | ||
| چکیده | ||
| The generalized fuzzy valued $\theta$-Choquet integrals will be established for the given $\mu$-integrable fuzzy valued functions on a general fuzzy measure space, and the convergence theorems of this kind of fuzzy valued integral are being discussed. Furthermore, the whole of integrals is regarded as a fuzzy valued set function on measurable space, the double-null asymptotic additivity and pseudo-double-null asymptotic additivity of the fuzzy valued set functions formed are studied when the fuzzy measure satisfies autocontinuity from above (below).\\ | ||
| کلیدواژه‌ها | ||
| Fuzzy measures؛ Fuzzy valued $theta$-Choquet integrals؛ Autocontinuous from above (below)؛ Double-null asymptotic additive؛ Pseudo-double-null asymptotic additive | ||
| مراجع | ||
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