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New Topological Approaches to Generalized Soft Rough Approximations with Medical Applications
There are many approaches to deal with vagueness and ambiguity including soft sets and rough sets. Feng et al. initiated the concept of possible hybridization of soft sets and rough sets.
Mostafa K. El-Bably +2 more
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Label-based Approach for Dynamic Updating Approximations in Incomplete Fuzzy Probabilistic Rough Sets over Two Universes [PDF]
When the missing values are obtained in incomplete fuzzy probabilistic rough sets over two universes,the time efficiency of the traditional static algorithm for updating approximations in incomplete fuzzy probabilistic rough sets over two universes is ...
XUE Zhan-ao, HOU Hao-dong, SUN Bing-xin, YAO Shou-qian
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Algebraic structures and lattice properties of hypergraph Pre-Rough sets [PDF]
The study introduces and examines the concept of hypergraph pre-rough sets, which are developed by combining minimum soft descriptions with hypergraph structures.
Ganesan Gomathi +3 more
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Rough quotient in topological rough sets
In this paper, we introduce a rough quotient. Also, we present conditions ensuring that G/H are partitions of G. The rough projection map is also presented. We discuss first, second and third rough isomorphism theorems and other related results.
Alharbi Nof +3 more
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New neighborhood based rough sets [PDF]
Neighborhood based rough sets are important generalizations of the classical rough sets of Pawlak, as neighborhood operators generalize equivalence classes.
I Couso +11 more
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Grid service discovery with rough sets [PDF]
Copyright [2008] IEEE. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Brunel University's products or services.
Bin Yu +4 more
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Fuzzy-rough set models and fuzzy-rough data reduction
Rough set theory is a powerful tool to analysis the information systems. Fuzzy rough set is introduced as a fuzzy generalization of rough sets. This paper reviewed the most important contributions to the rough set theory, fuzzy rough set theory and their
Hassan Mishmast Nehi +1 more
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Incremental Updating Algorithm for Approximation Sets on Semi-Monolayer Cover Rough Sets [PDF]
A one-to-one mapping relationship exists between the semi-monolayer cover rough sets and the set-valued information system.When an object set in a set-valued information system is dynamically added or removed, the information unit that corresponds to the
WU Zhengjiang, ZHANG Yaning, ZHANG Zhen, MEI Qiuyu, YANG Tian
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(𝓘, 𝓣) −Standard neutrosophic rough set and its topologies properties [PDF]
In this paper, we defined (𝓘, 𝓣) − standard neutrosophic rough sets based on an implicator 𝓘 and a tnorm 𝓣 on 𝑫∗ ; lower and upper approximations of standard neutrosophic sets in a standard neutrosophic approximation are defined.
Nguyen Xuan Thao, Florentin Smarandache
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Soft Rough Approximation Operators and Related Results
Soft set theory is a newly emerging tool to deal with uncertain problems. Based on soft sets, soft rough approximation operators are introduced, and soft rough sets are defined by using soft rough approximation operators.
Zhaowen Li, Bin Qin, Zhangyong Cai
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