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新角度下的貼近度公式及應用

發表時間:2019-08-30? 瀏覽量:463? 下載量:23
全部作者: 舍應欽,宋明悅,王增偉,劉海濤
作者單位: 遼寧工程技術大學理學院
摘 要: 為解決常用貼近度在某些情況下會失去分辨度的局限性,本文提出了新的貼近度算子,該貼近度是受勒貝格積分思想影響產生的,因此稱為勒貝格貼近度。勒貝格貼近度彌補了海明貼近度、歐幾里得貼近度等算子的不足,通過驗證該算子分辨區間增大,分辨度大大提高,并且理論分析證明了新算子滿足公理化定義,因此具有較好的應用前景。
關 鍵 詞: 模糊數學;模糊貼近度;勒貝格貼近度;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
發表期數: 2019年8月第4期
引用格式: 舍應欽,宋明悅,王增偉,等. 新角度下的貼近度公式及應用[J]. 中國科技論文在線精品論文,2019,12(4):552-560.
 
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