直觉模糊近似空间上多颗粒粗糙集的拓扑性质

Q4 Business, Management and Accounting

International Journal of Intelligent Enterprise Pub Date : 2021-01-01 DOI:10.1504/ijie.2021.10034448

A. J. Reddy, B. Tripathy

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引用次数: 0

摘要

Pawlak(1982)提出的基本粗糙集模型的两个扩展是De等人(2003)提出的模糊近似空间上的粗糙集和Tripathy(2006)提出的直觉模糊近似空间上的扩展粗糙集。Tripathy模型依赖于直觉模糊接近关系。为了同时处理多个颗粒，Qian等人分别在2006年和2010年引入了两种类型的多颗粒，称为乐观多颗粒和悲观多颗粒。Tripathy等人于2018年引入了直觉模糊近似空间上的多颗粒粗糙集的概念。由Pawlak引入的粗糙集的拓扑性质已经被Tripathy等人广泛地研究了不同类型的粗糙集。在此基础上，引入并研究了直觉模糊近似空间上多颗粒粗糙集的拓扑性质。

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Topological properties of multigranular rough sets on intuitionistic fuzzy approximation spaces

Two of the extensions of the basic rough set model introduced by Pawlak in 1982 is the rough sets on fuzzy approximation spaces introduced by De et al. in 2003 and its extension rough sets on intuitionistic fuzzy approximation spaces in 2006 by Tripathy. The model of Tripathy is dependent upon an intuitionistic fuzzy proximity relation. In an attempt to handle multiple granulations simultaneously two types of multigranulations called the optimistic and pessimistic multigranulation were introduced by Qian et al. in 2006 and 2010 respectively. The notion of multigranular rough sets over intuitionistic fuzzy approximation spaces were introduced by Tripathy et al. in 2018. Topological properties of rough sets, introduced by Pawlak have been studied extensively for different types of rough sets by Tripathy et al. Continuing this, here we introduce and study the concept of topological properties of multigranular rough sets on intuitionistic fuzzy approximation spaces.

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来源期刊

International Journal of Intelligent Enterprise Business, Management and Accounting-Management of Technology and Innovation

CiteScore

1.20

自引率

0.00%

发文量

期刊介绍： Major catalysts such as deregulation, global competition, technological breakthroughs, changing customer expectations, structural changes, excess capacity, environmental concerns and less protectionism, among others, are reshaping the landscape of corporations worldwide. The assumptions about predictability, stability, and clear boundaries are becoming less valid as two factors, by no means exhaustive, have a clear impact on the nature of the competitive space and are changing the sources of competitive advantage of firms and industries in new and unpredictable ways: agents with knowledge and interactions.