A fuzzy function of C-level subsets

Author(s):  
Intissar Abd AL-Hur Kadum ◽  
Azal Taha Abdulwahab ◽  
Batool Hatem Akar Alkfari
Keyword(s):  
2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Zhanli Wang ◽  
Yanjuan Hu ◽  
Yao Wang ◽  
Chao Dong ◽  
Zaixiang Pang

In the process of turning, pointing at the uncertain phenomenon of cutting which is caused by the disturbance of random factors, for determining the uncertain scope of cutting force, the integrated symmetric fuzzy number and the finite element method (FEM) are used in the prediction of cutting force. The method used symmetric fuzzy number to establish fuzzy function between cutting force and three factors and obtained the uncertain interval of cutting force by linear programming. At the same time, the change curve of cutting force with time was directly simulated by using thermal-mechanical coupling FEM; also the nonuniform stress field and temperature distribution of workpiece, tool, and chip under the action of thermal-mechanical coupling were simulated. The experimental result shows that the method is effective for the uncertain prediction of cutting force.


2021 ◽  
Vol 58 (6) ◽  
pp. 0610001
Author(s):  
崔紫薇 Cui Ziwei ◽  
詹伟达 Zhan Weida ◽  
付靖淇 Fu Jingqi ◽  
魏然然 Wei Ranran

2019 ◽  
Vol 48 (6) ◽  
pp. 610001
Author(s):  
江泽涛 JIANG Ze-tao ◽  
何玉婷 HE Yu-ting ◽  
张少钦 ZHANG Shao-qin

Symmetry ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 384 ◽  
Author(s):  
Suwei Gao ◽  
Kaiyang Sun

This study aims to solve the problem that the traditional method of measuring the poverty level in rural and urban areas of China from a purely monetary perspective can’t comprehensively analyze and reflect the poverty. In this study, a multidimensional poverty measurement model with non-monetary indicators is proposed, the data of families and their members provided by the China Health and Nutrition Survey (CHNS) of a certain year’s health and nutrition survey in China are used for analysis, and a fuzzy set method is adopted to analyze the poverty situation in various regions of China. First, the fuzzy function set method is used to calculate the one-dimensional poverty index. On the basis of income, the multi-dimensional poverty fuzzy index is calculated from five dimensions, including education, health, assets, and living standard. The calculation results of the single-dimensional poverty and the multi-dimensional poverty are compared to further analyze the reasons of the family poverty of rural residents. Second, the poverty rate of each dimension in each region is calculated by referring to the appropriate measurement indexes of each dimension of the message passing interface (MPI) team. The results show that the concept of measuring poverty by the fuzzy set method is more sensitive to the overall distribution of population in the poverty dimension than the poverty line method. Compared with the poverty line method, the fuzzy set method can better consider the overall distribution of population in poverty dimension. Accordingly, China should strengthen the infrastructure construction in rural areas, increase the investment in education in rural areas, and improve the overall quality of the poor population.


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