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ON CONVERGENCE THEOREMS FOR FUZZY HENSTOCK INTEGRALS | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 6، دوره 14، شماره 6، اسفند 2017، صفحه 87-102 اصل مقاله (420.66 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2017.3499 | ||
| نویسنده | ||
| B. M. Uzzal Afsan* | ||
| Department of Mathematics, Sripat Singh College, Jiaganj-742123, Murshidabad, West Bengal, India | ||
| چکیده | ||
| The main purpose of this paper is to establish different types of convergence theorems for fuzzy Henstock integrable functions, introduced by Wu and Gong \cite{wu:hiff}. In fact, we have proved fuzzy uniform convergence theorem, convergence theorem for fuzzy uniform Henstock integrable functions and fuzzy monotone convergence theorem. Finally, a necessary and sufficient condition under which the point-wise limit of a sequence of fuzzy Henstock integrable functions is fuzzy Henstock integrable has been established. | ||
| کلیدواژهها | ||
| Fuzzy number؛ Fuzzy number function؛ Fuzzy Henstock integral؛ Fuzzy monotone sequence | ||
| مراجع | ||
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