Measuring the difference between fuzzy numbers is often needed in many fuzzy optimization problems such as manufacturing system production line scheduling with uncertainty environments. In this paper, based on the dis...Measuring the difference between fuzzy numbers is often needed in many fuzzy optimization problems such as manufacturing system production line scheduling with uncertainty environments. In this paper, based on the distance function of plane R2 and the level importance function, we establish the UID-metric and LPID-metric of measuring the difference between fuzzy numbers, and discuss the basic properties of UID-metric and LPID-metric, and prove that fuzzy number spaces are metric spaces about UID-metric and LPID-metric if and only if the level importance function I(λ)≠0 almost everywhere on [0, 1]. Further, we discuss the convergence, separability and completeness of UID-metric and LPID-metric based on the norms of plane R2. Finally, we analyze the characteristics of UID-metric and LPID-metric by some application examples.展开更多
针对非局部均值(non local mean,NLM)相似性度量不够准确的问题,提出一种基于模糊度量的视觉特征相似度的改进非局部均值图像去噪算法。利用模糊度量理论构建视觉特征度量相似性函数作为衡量图像像素点相似性;将平滑核函数代替高斯加权...针对非局部均值(non local mean,NLM)相似性度量不够准确的问题,提出一种基于模糊度量的视觉特征相似度的改进非局部均值图像去噪算法。利用模糊度量理论构建视觉特征度量相似性函数作为衡量图像像素点相似性;将平滑核函数代替高斯加权核函数,提高运算速度和避免滤波参数的设置;利用构建视觉特征相似性度量生成的平滑核函数,对图像进行去噪。由于改进方法考虑图像视觉结构特征,更加完善了非局部均值结构相似的特点。在高斯噪声和椒盐噪声下,用峰值信噪比(peak signal to noise ratio,PSNR)和结构相似性(structural similarity index,SSIM)评价指标分别对比分析提出方法与几种优秀的改进NLM方法的降噪性能。实验结果表明,改进的新方法在去噪性能方面得到较高的提升,同时降低了相似度计算的复杂度和减少了参数设置问题。展开更多
UP till now there has been much spectacular and creative work about the theories of uniformi-ties and metrics in topological lattice.But this is mostly generalizations and developmentsof Hutton’s and Erceg’s pointle...UP till now there has been much spectacular and creative work about the theories of uniformi-ties and metrics in topological lattice.But this is mostly generalizations and developmentsof Hutton’s and Erceg’s pointless work.They cannot directly reflect the characteristics ofpointwise topology.In this note we shall set up a theory of pointwise uniformity and a theoryof pointwise metric on fuzzy lattices.展开更多
This study establishes a common coupled fixed point for two pairs of compatible and sequentially continuous mappings in the intuitionistic fuzzy metric space that satisfy theφ-contractive conditions.Many basic defini...This study establishes a common coupled fixed point for two pairs of compatible and sequentially continuous mappings in the intuitionistic fuzzy metric space that satisfy theφ-contractive conditions.Many basic definitions and theorems have been used from some recent scientific papers about the binary operator,t-norm,t-conorm,intuitionistic fuzzy metric space,and compatible mapping for reaching to the paper’s purpose.展开更多
基金supported by the National Natural Science Foundation of China(Grant Nos.60004010,60274045)High-Tech Program of China(Grant No.2001AA411020)China Postdoctoral Science Foundation
文摘Measuring the difference between fuzzy numbers is often needed in many fuzzy optimization problems such as manufacturing system production line scheduling with uncertainty environments. In this paper, based on the distance function of plane R2 and the level importance function, we establish the UID-metric and LPID-metric of measuring the difference between fuzzy numbers, and discuss the basic properties of UID-metric and LPID-metric, and prove that fuzzy number spaces are metric spaces about UID-metric and LPID-metric if and only if the level importance function I(λ)≠0 almost everywhere on [0, 1]. Further, we discuss the convergence, separability and completeness of UID-metric and LPID-metric based on the norms of plane R2. Finally, we analyze the characteristics of UID-metric and LPID-metric by some application examples.
文摘针对非局部均值(non local mean,NLM)相似性度量不够准确的问题,提出一种基于模糊度量的视觉特征相似度的改进非局部均值图像去噪算法。利用模糊度量理论构建视觉特征度量相似性函数作为衡量图像像素点相似性;将平滑核函数代替高斯加权核函数,提高运算速度和避免滤波参数的设置;利用构建视觉特征相似性度量生成的平滑核函数,对图像进行去噪。由于改进方法考虑图像视觉结构特征,更加完善了非局部均值结构相似的特点。在高斯噪声和椒盐噪声下,用峰值信噪比(peak signal to noise ratio,PSNR)和结构相似性(structural similarity index,SSIM)评价指标分别对比分析提出方法与几种优秀的改进NLM方法的降噪性能。实验结果表明,改进的新方法在去噪性能方面得到较高的提升,同时降低了相似度计算的复杂度和减少了参数设置问题。
文摘UP till now there has been much spectacular and creative work about the theories of uniformi-ties and metrics in topological lattice.But this is mostly generalizations and developmentsof Hutton’s and Erceg’s pointless work.They cannot directly reflect the characteristics ofpointwise topology.In this note we shall set up a theory of pointwise uniformity and a theoryof pointwise metric on fuzzy lattices.
文摘This study establishes a common coupled fixed point for two pairs of compatible and sequentially continuous mappings in the intuitionistic fuzzy metric space that satisfy theφ-contractive conditions.Many basic definitions and theorems have been used from some recent scientific papers about the binary operator,t-norm,t-conorm,intuitionistic fuzzy metric space,and compatible mapping for reaching to the paper’s purpose.
