On relationships between revised rough fuzzy approximation operators and fuzzy topological spaces

El-Monsef, M. E. Abd; El-Gayar, Mostafa A.; Aqeel, R. M.

doi:10.1504/ijgcrsis.2014.068022

Cited by 13 publications

(11 citation statements)

References 31 publications

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“…e second part is devoted to the application of the closure operators, proposed in the current paper, in the notion of rough sets. In fact, we have presented three models to approximate the rough sets, which are generalizations of previously presented methods (such as [2,4,8,11,13,20,22,23,[26][27][28][29][30][31][32][33][34][35][36][37][38][39]). We studied the properties of these approximations, and we were able to demonstrate all of Pawlak's properties, which were not fulfilled in some other generalizations such as Yao [26] without adding any conditions to the relation.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

“…e construction of topology and its concepts via relations has become a remarkable and hot role in solving many problems such as [2][3][4][5][6][7][8][9][10][11][12][13][14][15]. Closure space has been described by Cech [10] as an extension of classical topology.…”

Section: Introductionmentioning

confidence: 99%

“…Rough set theory was established by computer scientist Pawlak [24,25] based on several difficulties in computer science to overcome this challenge by a modal approximation of a crisp set in the expressions of a pair of sets called the rough approximations of it. Many writers have focused on generalization rough sets [2,4,8,11,13,20,22,23,[26][27][28][29][30][31][32][33][34][35][36][37][38][39].…”

Section: Introductionmentioning

confidence: 99%

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Topological Models of Rough Sets and Decision Making of COVID‐19

El-Gayar

Atik

2022

Complexity

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The basic methodology of rough set theory depends on an equivalence relation induced from the generated partition by the classification of objects. However, the requirements of the equivalence relation restrict the field of applications of this philosophy. To begin, we describe two kinds of closure operators that are based on right and left adhesion neighbourhoods by any binary relation. Furthermore, we illustrate that the suggested techniques are an extension of previous methods that are already available in the literature. As a result of these topological techniques, we propose extended rough sets as an extension of Pawlak’s models. We offer a novel topological strategy for making a topological reduction of an information system for COVID-19 based on these techniques. We provide this medical application to highlight the importance of the offered methodologies in the decision-making process to discover the important component for coronavirus (COVID-19) infection. Furthermore, the findings obtained are congruent with those of the World Health Organization. Finally, we create an algorithm to implement the recommended ways in decision-making.

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Section: Conclusion and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Topological Models of Rough Sets and Decision Making of COVID‐19

El-Gayar

Atik

2022

Complexity

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“…The methods of fuzzy sets theory will be used for blurring the spatial model of natural disaster [12].…”

Section: Research Of Existing Solutions Of the Problemmentioning

confidence: 99%

Developing the model of ecosystem in natural disasters conditions

Zharikova

2017

TAPR

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На основі проведених експериментальних досліджень встановлено, що при словесній розбірливості менш 20-30 % важко встановити навіть предмет ведення розмови, а при розбірливості мови менше 10 % -це неможливо. Надійне маскування досягається в тому випадку, коли отримана зашумлена мова має словесну розбірливість не більше 20 % (на практиці це відповідає сприйняттю окремих вигуків і окремих «знайомих» слів). влияние осоБенностей каналов утечки информации на раЗБорчивость перехваченных речевых сооБщенийИсследована защищенность акустических каналов утечки информации. Построена зависимость словесной разборчивости речи от отношения сигнал/помеха и сигнал/белый шум. В ка честве помех выступали характерные для офисного помещения акустические сигналы. Выявлено влияние на разборчивость речи семантической составляющей в сообщении и возмож ность её многократного прослушивания. Установлено, что для гарантированной защиты речевой информации должно быть реализовано отношение сигнал/белый шум не более 20 дБ.ключевые слова: разборчивость речи, семантический текст, утечка информации.Ликов Юрій Володимирович, кандидат технічних наук, кафедра основ радіотехніки, Харківський національний університет радіоелектроніки, Україна, Морозова Ганна Дмитрівна, кафедра основ радіотехніки, Україна, ORCID: http Zharikova m.

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“…Topological structures were applied in rough sets to improve evolutionary-based feature selection technique using the extension of knowledge [7], decision making of COVID-19 [8,9], and enhanced feature selection based on integration containment neighborhoods rough set approximations and binary honey badger optimization [10]. Several articles [11][12][13][14][15][16][17][18][19] extended the application fields of Pawlak's model. Popa et al introduced the minimal structure spaces [20], as a generalization of topological spaces to analyze information systems.…”

Section: Introductionmentioning

confidence: 99%

Approximations by Ideal Minimal Structure with Chemical Application

Hosny¹,

Abu-Gdairi²,

El-Bably³

2023

Intelligent Automation &Amp; Soft Computing

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The theory of rough set represents a non-statistical methodology for analyzing ambiguity and imprecise information. It can be characterized by two crisp sets, named the upper and lower approximations that are used to determine the boundary region and accurate measure of any subset. This article endeavors to achieve the best approximation and the highest accuracy degree by using the minimal structure approximation space MSAS via ideal J . The novel approach (indicated by J MSAS) modifies the approximation space to diminish the boundary region and enhance the measure of accuracy. The suggested method is more accurate than Pawlak's and EL-Sharkasy techniques. Via illustrated examples, several remarkable results using these notions are obtained and some of their properties are established. Several sorts of near open (resp. closed) sets based on J MSAS are studied. Furthermore, the connections between these assorted kinds of near-open sets in J MSAS are deduced. The advantages and disadvantages of the proposed approach compared to previous ones are examined. An algorithm using MATLAB and a framework for decision-making problems are verified. Finally, the chemical application for the classification of amino acids (AAs) is treated to highlight the significance of applying the suggested approximation.

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On relationships between revised rough fuzzy approximation operators and fuzzy topological spaces

Cited by 13 publications

References 31 publications

Topological Models of Rough Sets and Decision Making of COVID‐19

Topological Models of Rough Sets and Decision Making of COVID‐19

Developing the model of ecosystem in natural disasters conditions

Approximations by Ideal Minimal Structure with Chemical Application

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