Neutrosophic Vague Topological Spaces

ยท ยท
Infinite Study
ืกืคืจ ื“ื™ื’ื™ื˜ืœื™
12
ื“ืคื™ื
ื›ืฉื™ืจ
ื”ื‘ื™ืงื•ืจื•ืช ื•ื”ื“ื™ืจื•ื’ื™ื ืœื ืžืื•ืžืชื™ืย ืžื™ื“ืข ื ื•ืกืฃ

ืžื™ื“ืข ืขืœ ื”ืกืคืจ ื”ื“ื™ื’ื™ื˜ืœื™ ื”ื–ื”

The term topology was introduced by Johann Beredict Listing in the 19th century. Closed sets are fundamental objects in a topological space. In this paper, we use neutrosophic vague sets and topological spaces and we construct and develop a new concept namely โ€œneutrosophic vague topological spacesโ€. By using the fundamental definition and necessary example we have defined the neutrosophic vague topological spaces and have also discussed some of its properties. Also we have defined the neutrosophic vague continuity and neutrosophic vague compact space in neutrosophic vague topological spaces and their properties are deliberated.

ืจื•ืฆื” ืœื“ืจื’ ืืช ื”ืกืคืจ ื”ื“ื™ื’ื™ื˜ืœื™ ื”ื–ื”?

ื ืฉืžื— ืœืฉืžื•ืข ืžื” ื“ืขืชืš.

ืื™ืš ืงื•ืจืื™ื ืืช ื”ืกืคืจ

ืกืžืืจื˜ืคื•ื ื™ื ื•ื˜ืื‘ืœื˜ื™ื
ื›ืœ ืžื” ืฉืฆืจื™ืš ืœืขืฉื•ืช ื”ื•ื ืœื”ืชืงื™ืŸ ืืช ื”ืืคืœื™ืงืฆื™ื” ืฉืœ Google Play Books ืœ-Android ืื• ืœ-iPad/iPhoneโ€. ื”ื™ื ืžืกืชื ื›ืจื ืช ื‘ืื•ืคืŸ ืื•ื˜ื•ืžื˜ื™ ืขื ื”ื—ืฉื‘ื•ืŸ ืฉืœืš ื•ืžืืคืฉืจืช ืœืš ืœืงืจื•ื ืžื›ืœ ืžืงื•ื, ื’ื ืœืœื ื—ื™ื‘ื•ืจ ืœืื™ื ื˜ืจื ื˜.
ืžื—ืฉื‘ื™ื ื ื™ื™ื“ื™ื ื•ืฉื•ืœื—ื ื™ื™ื
ื ื™ืชืŸ ืœื”ืื–ื™ืŸ ืœืกืคืจื™ ืื•ื“ื™ื• ืฉื ืจื›ืฉื• ื‘-Google Play ื‘ืืžืฆืขื•ืช ื“ืคื“ืคืŸ ื”ืื™ื ื˜ืจื ื˜ ืฉืœ ื”ืžื—ืฉื‘.
eReaders ื•ืžื›ืฉื™ืจื™ื ืื—ืจื™ื
ื›ื“ื™ ืœืงืจื•ื ื‘ืžื›ืฉื™ืจื™ื ืขื ืชืฆื•ื’ืช ื“ื™ื• ืืœืงื˜ืจื•ื ื™ (e-ink) ื›ืžื• ื”ืงื•ืจืื™ื ื”ืืœืงื˜ืจื•ื ื™ื™ื ืฉืœ Kobo, ืฆืจื™ืš ืœื”ื•ืจื™ื“ ืงื•ื‘ืฅ ื•ืœื”ืขื‘ื™ืจ ืื•ืชื• ืœืžื›ืฉื™ืจ. ื™ืฉ ืœืคืขื•ืœ ืœืคื™ ื”ื”ื•ืจืื•ืช ื”ืžืคื•ืจื˜ื•ืช ื‘ืžืจื›ื– ื”ืขื–ืจื” ื›ื“ื™ ืœื”ืขื‘ื™ืจ ืืช ื”ืงื‘ืฆื™ื ืœืงื•ืจืื™ื ืืœืงื˜ืจื•ื ื™ื™ื ื ืชืžื›ื™ื.