关于使用毕达哥拉斯模糊框架的毕达哥拉斯模糊 [公式:参见文本] 分数密集空间的调查
N B Gnanachristy1, G K Revathi2
1Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology Chennai, Vandalur-Kelambakkam Road, Chennai, 600127, Tamilnadu, India.
Scientific reports
|January 6, 2026
概括
这项研究引入了毕达哥拉斯的模糊框架,扩展了拓学概念. 研究人员探索了它们在毕达哥拉斯模糊结构空间中的行为,定义了关键属性和连续函数.
科学领域:
- 拓学的拓学
- 模糊的集合理论 模糊的集合理论
背景情况:
- 框架是拓空间的一般化.
- 毕达哥拉斯的模糊集合被定义为框架.
研究的目的:
- 调查毕达哥拉斯模糊框架的行为.
- 定义和探索毕达哥拉斯模糊结构空间.
- 检查这些空间中的属性.
主要方法:
- 定义毕达哥拉斯的模糊框架.
- 建立毕达哥拉斯模糊结构空间.
- 引入像毕达哥拉斯模糊闭集,密集集和连续函数这样的概念.
主要成果:
- 毕达哥拉斯模糊结构空间是使用毕达哥拉斯模糊框架来定义的.
- 建立了各种模糊集属性 (封闭,密集,无处密集,某处密集).
- 探讨了毕达哥拉斯的模糊连续性和分离公理.
结论:
- 这项研究为研究毕达哥拉斯模糊框架提供了一个框架.
- 定义的概念有助于理解这些模糊结构的行为.
- 对毕达哥拉斯模糊分数密度和空间进行了进一步的探索.
相关概念视频
Frames: Problem Solving I
925
Consider a jib crane with an external load suspended from the pulley. The dimensions of the crane members are shown in the figure. A systematic analysis of the frame structure is required to determine the reaction forces at the pin joints, assuming that the pulleys are frictionless.
925
Frames: Problem Solving II
474
Consider a hydraulic hoist supporting a load of 1 kN. Assuming a simplified schematic representation of this frame structure, the force acting on BD and BF members can be determined.
474
The Distance Formula
559
In geometry, measuring the direct distance between two points on a plane is essential in various practical and theoretical applications. Whether in navigation, engineering, or computer graphics, determining the shortest path between two locations involves using the distance formula. This formula is derived from the Pythagorean Theorem, which relates the lengths of the sides of a right triangle. On a coordinate plane, the horizontal and vertical distances between two points serve as the legs of...
559
Frames
811
Frames are essential components of various mechanical and structural systems used daily. These structures are known for their stability and ability to bear heavy loads. A frame is constructed using two-force and multi-force members, interconnected using pin joints. In contrast, trusses are made entirely of two-force members.
Frames are versatile and widely used in various applications such as structural supports for beams and columns, automobile chassis construction, and in the construction...
Frames are versatile and widely used in various applications such as structural supports for beams and columns, automobile chassis construction, and in the construction...
811
Relative Motion Analysis using Rotating Axes-Problem Solving
693
Consider a crane whose telescopic boom rotates with an angular velocity of 0.04 rad/s and angular acceleration of 0.02 rad/s2. Along with the rotation, the boom also extends linearly with a uniform speed of 5 m/s. The extension of the boom is measured at point D, which is measured with respect to the fixed point C on the other end of the boom. For the given instant, the distance between points C and D is 60 meters.
Here, in order to determine the magnitude of velocity and acceleration for point...
Here, in order to determine the magnitude of velocity and acceleration for point...
693
Three-Dimensional Force System:Problem Solving
1.3K
A three-dimensional force system refers to a scenario in which three forces act simultaneously in three different directions. This type of problem is commonly encountered in physics and engineering, where it is necessary to calculate the resultant force on the system, which can then be used to predict or analyze the behavior of the object or structure under consideration.
To solve a three-dimensional force system, first resolve each force into its respective scalar components. Do this using...
To solve a three-dimensional force system, first resolve each force into its respective scalar components. Do this using...
1.3K


