论文标题
关于软集的正确结构和相似性度量以及D. A. Molodtsov教授的历史评论
On correct structures and similarity measures of soft sets along with historic comments of Prof. D. A. Molodtsov
论文作者
论文摘要
在Molodtsov的论文（D. Molodtsov，软集理论的第一条结果）之后。与应用有关的计算机和数学，37（4-5）（1999），19-31，19-31），软集理论以惊人的节奏增长。尽管它们在数学和相关领域中广泛使用，但有几位作者介绍了软集理论和混合结构的各种操作，关系，结果以及其他方面。在他的论文中（D. A. Molodtsov，《软套》的等效和正确的操作。国际机器人和自动化杂志，4（1）（2018），18-21），软集理论的父亲莫洛德索夫（Molodtsov）指出了错误的结果和概念。 Molodtsov（D。A. Molodtsov，软集的结构。Nechetkiesistemy I Myagkie，12（1）（1）（2017），5-18）也指出，软集的概念尚未完全理解和在任何地方使用。结果，重新审视这些概念的怪癖并对软设置等效概念的正式描述似乎是合理的。 Molodtsov已经在软集上探索了正确的操作。我们使用Molodtsov的一些概念和结果（Molodtsov D.A.（2017）软集的结构。Nechetkiesistemy I Myagkie，12（1）（2017），5-18），创建矩阵表示以及某些相关的软集合，并量化两个软集之间的相似性。
After the paper of Molodtsov ( D. Molodtsov, Soft set theory first results. Computers and Mathematics with Applications, 37(4-5) (1999), 19-31), soft set theory grew at a breakneck pace. Several authors have introduced various operations, relations, results, as well as other aspects in soft set theory and hybrid structures incorrectly, despite their widespread use in mathematics and allied areas. In his paper (D. A. Molodtsov, Equivalence and correct operations for soft sets. International Robotics and Automation Journal, 4(1) (2018), 18-21), Molodtsov, the father of soft set theory, pointed out the wrong results and notions. Molodtsov (D. A. Molodtsov, Structure of soft sets. Nechetkie Sistemy i Myagkie, 12(1) (2017), 5-18) also stated that the concept of soft set had not been fully understood and used everywhere. As a result, it seemed reasonable to revisit the quirks of those conceptions and provide a formal account of the notion of soft set equivalency. Molodtsov already explored the correct operations on soft sets. We use some notions and results of Molodtsov (Molodtsov D.A. (2017) Structure of soft sets. Nechetkie Sistemy i Myagkie, 12(1) (2017), 5-18) to create matrix representations as well as certain associated operations of soft sets, and to quantify the similarity between two soft sets.
