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新角度下的贴近度公式及应用

发表时间:2019-08-30  浏览量:216  下载量:7
全部作者: 舍应钦,宋明悦,王增伟,刘海涛
作者单位: 辽宁工程技术大学理学院
摘 要: 为解决常用贴近度在某些情况下会失去分辨度的局限性,本文提出了新的贴近度算子,该贴近度是受勒贝格积分思想影响产生的,因此称为勒贝格贴近度。勒贝格贴近度弥补了海明贴近度、欧几里得贴近度等算子的不足,通过验证该算子分辨区间增大,分辨度大大提高,并且理论分析证明了新算子满足公理化定义,因此具有较好的应用前景。
关 键 词: 模糊数学;模糊贴近度;勒贝格贴近度;分辨度
Title: Closeness formula under the new angle and its application
Author: SHE Yingqin, SONG Mingyue, WANG Zengwei, LIU Haitao
Organization: School of Sciences, Liaoning Technical University
Abstract: In order to overcome the limitation that the commonly used closeness will lose its resolution in some cases, a new closeness operator is proposed in this paper. The closeness is caused by the thought of Lebesgue integral, so it is called Lebesgue closeness. Lebesgue closeness makes up for the shortcomings of Hemingway closeness and Euclidean closeness. By verifying that the operator’s resolution interval increases and the resolution is greatly improved, the theoretical analysis proves that the new operator satisfies the axiomatic definition, so it has good application prospects.
Key words: fuzzy mathematics; fuzzy closeness; Lebesgue closeness; resolution
发表期数: 2019年8月第4期
引用格式: 舍应钦,宋明悦,王增伟,等. 新角度下的贴近度公式及应用[J]. 中国科技论文在线精品论文,2019,12(4):552-560.
 
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