This paper intends to presents a new structure of nano topological space by using neutrosophic va... more This paper intends to presents a new structure of nano topological space by using neutrosophic vague sets. Here we define the neutrosophic vague nano topological spaces, various properties and characterizations related to these sets are also examined. Because of the increased volume of information available to physicians from advanced medical technology, the obtained information of each symptom with respect to a disease may contain truth, falsity and indeterminacy information, by using this information an application is also discussed with neutrosophic vague nano topological space. In this application we identified the risk factors for the cause of stroke attack through the concept of neutrosophic vague nano topology.
The term topology was introduced by Johann Beredict Listing in the 19th century. Closed<br>... more The term topology was introduced by Johann Beredict Listing in the 19th century. Closed<br> sets are fundamental objects in a topological space. In this paper, we use neutrosophic vague sets and<br> topological spaces and we construct and develop a new concept namely "neutrosophic vague<br> topological spaces". By using the fundamental definition and necessary example we have defined the<br> neutrosophic vague topological spaces and have also discussed some of its properties. Also we have<br> defined the neutrosophic vague continuity and neutrosophic vague compact space in neutrosophic<br> vague topological spaces and their properties are deliberated.
Neutrosophic set (NS) is a powerful tool to deal with indeterminacy. In this paper, the neutrosop... more Neutrosophic set (NS) is a powerful tool to deal with indeterminacy. In this paper, the neutrosophic set is applied to the image domain and a novel edge detection technique is proposed. Noise reduction of images is a challenging task in image processing. Salt and pepper noise is one kind of noise that affects a grayscale image significantly. Generally, the median filter is used to reduce salt and pepper noise; it gives optimum results while compared to other image filters. Median filter works only up to a certain level of noise intensity. Here we proposed a neighborhood-based image filter called nbd-filter, it works perfectly for gray image regardless of noise intensity. It reduces salt and pepper noise significantly at any noise level and produces a noise-free image. Further, we proposed an edge detection algorithm based on the neutrosophic set, it detectsedges efficiently for images corrupted by noise and noise-free images. Since most of the real-life images consists of indetermin...
This paper intends to presents a new structure of nano topological space by using neutrosophic va... more This paper intends to presents a new structure of nano topological space by using neutrosophic vague sets. Here we define the neutrosophic vague nano topological spaces, various properties and characterizations related to these sets are also examined. Because of the increased volume of information available to physicians from advanced medical technology, the obtained information of each symptom with respect to a disease may contain truth, falsity and indeterminacy information, by using this information an application is also discussed with neutrosophic vague nano topological space. In this application we identified the risk factors for the cause of stroke attack through the concept of neutrosophic vague nano topology.
The term topology was introduced by Johann Beredict Listing in the 19th century. Closed<br>... more The term topology was introduced by Johann Beredict Listing in the 19th century. Closed<br> sets are fundamental objects in a topological space. In this paper, we use neutrosophic vague sets and<br> topological spaces and we construct and develop a new concept namely "neutrosophic vague<br> topological spaces". By using the fundamental definition and necessary example we have defined the<br> neutrosophic vague topological spaces and have also discussed some of its properties. Also we have<br> defined the neutrosophic vague continuity and neutrosophic vague compact space in neutrosophic<br> vague topological spaces and their properties are deliberated.
Neutrosophic set (NS) is a powerful tool to deal with indeterminacy. In this paper, the neutrosop... more Neutrosophic set (NS) is a powerful tool to deal with indeterminacy. In this paper, the neutrosophic set is applied to the image domain and a novel edge detection technique is proposed. Noise reduction of images is a challenging task in image processing. Salt and pepper noise is one kind of noise that affects a grayscale image significantly. Generally, the median filter is used to reduce salt and pepper noise; it gives optimum results while compared to other image filters. Median filter works only up to a certain level of noise intensity. Here we proposed a neighborhood-based image filter called nbd-filter, it works perfectly for gray image regardless of noise intensity. It reduces salt and pepper noise significantly at any noise level and produces a noise-free image. Further, we proposed an edge detection algorithm based on the neutrosophic set, it detectsedges efficiently for images corrupted by noise and noise-free images. Since most of the real-life images consists of indetermin...
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