论文标题
模糊性，不确定性和软布：边界和观点
Fuzziness, Indeterminacy and Soft Sets: Frontiers and Perspectives
论文作者
论文摘要
本文遇到了从扎德（Zadeh）模糊性安娜·阿塔纳索夫（Ana Atanassov）直觉模糊的主要步骤，即Smarandache的不确定性以及Molodstov的柔软套件。在模糊条件下分别进行评估和决策的两种混合方法，还通过使用软集和实际间隔作为工具的合适示例提出。决策方法改善了Maji等人的早期方法。此外，它描述了拓扑空间的概念，即数学空间的最一般类别，如何扩展到模糊结构，以及如何在这种结构内概括极限，连续性紧凑和Hausdorff空间的基本数学概念。特别是，定义了模糊和软拓扑空间，并给出了示例以说明这些概括。
The present paper comes across the main steps that laid from Zadeh's fuzziness ana Atanassov's intuitionistic fuzzy sets to Smarandache's indeterminacy and to Molodstov's soft sets. Two hybrid methods for assessment and decision making respectively under fuzzy conditions are also presented through suitable examples that use soft sets and real intervals as tools. The decision making method improves an earlier method of Maji et al. Further, it is described how the concept of topological space, the most general category of mathematical spaces, can be extended to fuzzy structures and how to generalize the fundamental mathematical concepts of limit, continuity compactness and Hausdorff space within such kind of structures. In particular, fuzzy and soft topological spaces are defined and examples are given to illustrate these generalizations.
