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New Topological Approaches to Generalized Soft Rough Approximations with Medical Applications

open access: yesJournal of Mathematics, 2021
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
doaj   +1 more source

Label-based Approach for Dynamic Updating Approximations in Incomplete Fuzzy Probabilistic Rough Sets over Two Universes [PDF]

open access: yesJisuanji kexue, 2022
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
doaj   +1 more source

Algebraic structures and lattice properties of hypergraph Pre-Rough sets‎ [PDF]

open access: yesMathematics and Computational Sciences
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
doaj   +1 more source

Rough quotient in topological rough sets

open access: yesOpen Mathematics, 2019
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
doaj   +1 more source

New neighborhood based rough sets [PDF]

open access: yes, 2015
Neighborhood based rough sets are important generalizations of the classical rough sets of Pawlak, as neighborhood operators generalize equivalence classes.
I Couso   +11 more
core   +1 more source

Grid service discovery with rough sets [PDF]

open access: yes, 2008
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
core   +2 more sources

Fuzzy-rough set models and fuzzy-rough data reduction

open access: yesCroatian Operational Research Review, 2020
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
doaj   +1 more source

Incremental Updating Algorithm for Approximation Sets on Semi-Monolayer Cover Rough Sets [PDF]

open access: yesJisuanji gongcheng, 2022
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
doaj   +1 more source

(𝓘, 𝓣) −Standard neutrosophic rough set and its topologies properties [PDF]

open access: yesNeutrosophic Sets and Systems, 2016
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
doaj   +1 more source

Soft Rough Approximation Operators and Related Results

open access: yesJournal of Applied Mathematics, 2013
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
doaj   +1 more source

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