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POINTWISE CONVERGENCE TOPOLOGY AND FUNCTION SPACES IN FUZZY ANALYSIS | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 2، دوره 15، شماره 2، خرداد و تیر 2018، صفحه 1-21 اصل مقاله (448.3 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2018.3753 | ||
| نویسندگان | ||
| D. R. Jardon1؛ M. Sanchis* 2 | ||
| 1Academia de Matematicas, Universidad Autonoma de la Ciudad de Mexico, Calz. Ermita Iztapalapa s/n, Col. Lomas de Zaragoza 09620, Ciudad de Mexico , Mexico | ||
| 2Institut de Matematiques i Aplicacions de Castello (IMAC), Universitat Jaume I, Campus Riu Sec, 12071-Castello, Spain | ||
| چکیده | ||
| We study the space of all continuous fuzzy-valued functions from a space $X$ into the space of fuzzy numbers $(\mathbb{E}\sp{1},d\sb{\infty})$ endowed with the pointwise convergence topology. Our results generalize the classical ones for continuous real-valued functions. The field of applications of this approach seems to be large, since the classical case allows many known devices to be fitted to general topology, functional analysis, coding theory, Boolean rings, etc. | ||
| کلیدواژهها | ||
| Fuzzy-number؛ Fuzzy analysis؛ Function space؛ Pointwise convergence؛ Dual map؛ Evaluation map؛ Fr'echet space؛ Grothendieck's theorem؛ Cardinal function | ||
| مراجع | ||
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