Approximation spaces inspired by subset rough neighborhoods with applications

• Autorzy: Al-shami Tareq M. , Mhemdi Abdelwaheb

Identyfikatory

DOI

10.1515/dema-2022-0223

• Języki publikacji: EN

Abstrakty

EN

In this manuscript, we first generate topological structures by subset neighborhoods and ideals and apply to establish some generalized rough-set models. Then, we present other types of generalized rough-set models directly defined by the concepts of subset neighborhoods and ideals. We explore the main characterizations of the proposed approximation spaces and compare them in terms of approximation operators and accuracy measures. The obtained results and given examples show that the second type of the proposed approximation spaces is better than the first one in cases of u and ⟨u⟩ , whereas the relationships between the rest of the six cases are posted as an open question. Moreover, we demonstrate the advantages of the current models to decrease the upper approximation and increase the lower approximation compared to the existing approaches in published literature. Algorithms and a flow chart are given to illustrate how the exact and rough sets are determined for each approach. Finally, we analyze the information system of dengue fever to confirm the efficiency of our approaches to maximize the value of accuracy and shrink the boundary regions.

Słowa kluczowe

EN

rough set; approximation spaces; subset neighborhoods; topology; ideal; dengue fever

PL

zbiór przybliżony; przestrzenie aproksymacyjne; podzbiór; topologia; ideał

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2023
• Tom: Vol. 56, nr 1
• Strony: art. no. 20220223
• Opis fizyczny: Bibliogr. 46 poz., rys., tab.

Twórcy

autor

Al-shami Tareq M.

• Department of Mathematics, Sana’a University, Sana’a, Yemen

autor

Mhemdi Abdelwaheb

• Department of Mathematics, College of Sciences and Humanities in Aflaj, Prince Sattam bin Abdulaziz University, Riyadh, Saudi Arabia

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