On three types of covering-based rough sets
Web11 de jul. de 2014 · The study of definable sets in various generalized rough set models would provide better understanding to these models. Some algebraic structures of all definable sets have been investigated, and the relationships among the definable sets, the inner definable sets and the outer definable sets have been presented. In this paper, we …
On three types of covering-based rough sets
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WebAbstract. In this paper, six types of optimistic multi-covering rough set models and six types of pessimistic multi-covering rough set models are proposed in multi-covering approximation space. From three different points of views, relationships among multi-covering rough set models are deeply investigated. WebCovering-based rough sets are natural extensions of the classical rough sets by relaxing the partitions to coverings and have been applied for many ... Zhu, W., Wang, F.: On …
WebAbstract. In this paper, three new types of fuzzy covering-based rough set models are proposed. First, the membership-degree-based fuzzy covering rough set is defined in … Web7 de jul. de 2016 · Definition 3. Let ( U , C) be a covering approximation space. Then, by combining lower approximation operators of types 6, 7, 8, and 10 with upper approximation operators of types 1, 4, and 5, we can define twelve different types of covering based rough set as follows: C ¯ 61 ( X) = ∪ { C F r i e n d s ( x) x ∈ X - C 6. ̲.
Web31 de mar. de 2024 · TL;DR: Three new types of fuzzy covering-based rough set models are proposed by introducing a new notion of a fuzzy complementary -neighborhood by introducing some new definitions of fuzzy -covering approximation spaces. Abstract: Fuzzy coverings are a natural extension of the coverings by replacing crisp sets with fuzzy … Web18 de jan. de 2024 · Request PDF On three types of soft fuzzy coverings based rough sets Recently, the concept of soft fuzzy rough covering was defined and their properties were studied by Zhan et al.. (Zhan and ...
Web25 de fev. de 2024 · In this paper, we mainly construct three types of L-fuzzy β-covering-based rough set models and study the axiom sets, matrix representations and …
Web3 de mar. de 2024 · On three types of L-fuzzy β-covering-based rough sets. Author links open overlay panel Wei Li a, Bin Yang a, Junsheng Qiao b. Show more. ... In this paper, we mainly establish three types of L-fuzzy β-covering-based rough set models and study the axiomatic characterizations, matrix representations and interdependency of their rough ... biomerieux safety data sheetsWeb29 de nov. de 2014 · Covering is a common form of data representation, and covering-based rough sets, a technique of granular computing, provide an effective tool to deal with this type of data. However, many important problems of covering-based rough sets, such as covering reduction, are NP-hard so that most algorithms to solve them are greedy … daily science warm ups 4th grade pdfWeb15 de out. de 2012 · Based on the definitions of the three types of covering rough sets in , , , we define a new type of covering rough set model as follows . In this type of … biomerieux customer service phone numberWebadshelp[at]cfa.harvard.edu The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A biomerieux university e learningWeb1 de out. de 2012 · We propose a framework for the study of covering based rough set approximations. Three equivalent formulations of the classical rough sets are examined by using equivalence relations, partitions, and σ -algebras, respectively. They suggest the element based, the granule based and the subsystem based definitions of … daily school sheetsWebRough set theory is a useful tool for dealing with inexact, uncertain or vague knowledge of information systems. The core concepts of classical rough sets are lower and upper approximation operators based on equivalence relations. However, it is inefficient to compute the lower and upper approximations using set operations. Matrix is widely used … daily scoop batesville indianaWeb1 de abr. de 2024 · In Section 4, the characterizations of Ma's fuzzy covering-based rough set models are investigated. In Section 5, three new types of fuzzy covering-based … daily science grade 6 answer key