模糊环境中的Hyper-Zagreb指数及其应用
Sk Rabiul Islam1,2, Bandar Bin Mohsin3, Madhumangal Pal2,4
1Department of Mathematics, Brainware University, 398, Ramkrishnapur Road, Jagadighata Market, Barasat, Kolkata-700125, India.
Heliyon
|September 9, 2024
概括
本研究介绍了模糊图的超-扎格勒布指数 (hyper-ZI),计算其边界和与其他图表指数的关系. 模糊图形的超-ZI显示在犯罪分析中比其清晰图形版本更高的现实性.
科学领域:
- 数学 数学 是一个数学.
- 图形理论 图形理论
- 模糊的图形理论 模糊的图形理论
背景情况:
- 萨格勒布指数 (ZIs) 是重要的图形变量,在数学和化学中具有应用.
- 模糊图形理论 (FGT) 将图形理论扩展到模拟不确定性.
- 拓指数量化分子结构用于化学和网络分析.
研究的目的:
- 介绍并定义专门用于模糊图形 (FGs) 的超扎格勒布指数 (hyper-ZI).
- 确定各种类型的FG和FG操作的超-ZI的边界.
- 在现实应用中,将FG的超-ZI与其他拓索引的有效性进行比较.
主要方法:
- 对路径,循环,恒星,完整的FG和部分模糊子图的超-ZI边界的计算.
- 在各种FG操作下分析超-ZI行为 (直接产物,卡特西亚产物,组合,合并,结合,强产物,半强产物).
- 对FG的超-ZI与鲜明图的超-ZI,FG的第一个ZI和FG的F指数进行比较分析.
主要成果:
- 同型的FG产生相同的hyper-ZI值.
- 建立了超级ZI和第二个扎格勒布FG指数之间的联系.
- 与其清晰图表对应物相比,FG的超-ZI在分析犯罪数据方面表现出更高的现实性.
结论:
- 超-ZI是用于模糊图的有价值的拓索引.
- 对FG的超-ZI为现实世界的场景提供了增强的适用性,如犯罪分析.
- 该索引提供了对不确定的环境中的图形结构的更细致的理解.
更多相关视频
08:42Measurement of the Directional Information Flow in fNIRS-Hyperscanning Data using the Partial Wavelet Transform Coherence Method
Published on: September 3, 2021
3.0K
07:05Applying Hyperspectral Reflectance Imaging to Investigate the Palettes and the Techniques of Painters
Published on: June 18, 2021
2.4K
相关概念视频
Properties of the z-Transform I
173
The z-transform is a fundamental tool in digital signal processing, enabling the analysis of discrete-time systems through its various properties. It is an invaluable tool for analyzing discrete-time systems, offering a range of properties that simplify complex signal manipulations. One fundamental property is linearity. For any two discrete-time signals, the z-transform of their linear combination equals the same linear combination of their individual z-transforms. This property is essential...
173
Introduction to z Scores
359
A z score (or standardized value) is measured in units of the standard deviation. It indicates how many standard deviations the value x is above (to the right of) or below (to the left of) the mean, μ. Values of x that are larger than the mean have positive z scores, and values of x that are smaller than the mean have negative z scores. If x equals the mean, then x has a zero z score. It is important to note that the mean of the z scores is zero, and the standard deviation is one.
z scores...
z scores...
359
Region of Convergence
398
The z-transform is a powerful mathematical tool used in the analysis of discrete-time signals and systems. It is a crucial tool in the analysis of discrete-time systems, but its convergence is limited to specific values of the complex variable z. This range of values, known as the Region of Convergence (ROC), is fundamental in determining the behavior and stability of a system or signal. The ROC defines the region in the complex plane where the z-transform converges, which can take various...
398
Definition of z-Transform
400
The z-transform is a powerful mathematical tool used in the analysis of discrete-time signals and systems. It is an essential analytical tool, analogous to the Laplace transform used in continuous-time systems. It plays a crucial role in the analysis of signals and systems, complementing the discrete-time Fourier transform. Both the z-transform and the Laplace transform convert differential or difference equations into algebraic equations, simplifying the process of solving complex problems.
400
z Scores and Unusual Values
9.3K
The z score is one of the three measures of relative standing. It describes the location of a value in a dataset relative to the mean. z scores are obtained after the standardization of the values in a dataset. The z score for the mean is 0.
This score indicates how far a value is from the mean in terms of standard deviation. For example, if a data value has a z score of +1, the researcher can infer that the particular data value is one standard deviation above the mean. If another data...
This score indicates how far a value is from the mean in terms of standard deviation. For example, if a data value has a z score of +1, the researcher can infer that the particular data value is one standard deviation above the mean. If another data...
9.3K
z Scores and Area Under the Curve
10.4K
z scores are the standardized values obtained after converting a normal distribution into a standard normal distribution. A z score is measured in units of the standard deviation. The z score tells you how many standard deviations the value x is above (to the right of) or below (to the left of) the mean, μ. Values of x that are larger than the mean have positive z scores, and values of x that are smaller than the mean have negative z scores. If x equals the mean, then x has a z score of...
10.4K
