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. 2023;56(7):6855-6883.
doi: 10.1007/s10462-022-10346-7. Epub 2022 Dec 2.

Rough sets models inspired by supra-topology structures

Tareq M Al-Shami  1 , Ibtesam Alshammari  2
Affiliations

Rough sets models inspired by supra-topology structures

Tareq M Al-Shami et al. Artif Intell Rev. 2023.

Abstract

Our aim of writing this manuscript is to found novel rough-approximation operators inspired by an abstract structure called "supra-topology". This approach is more relaxed than topological ones and extends the scope of applications because an intersection condition of topology is dispensed. Firstly, we generate eight types of supra-topologies using Nk-neighborhood systems induced from any arbitrary relation. We elucidate the relationships between them and investigate the conditions under which some of them are identical. Then, we create new rough sets models from these supra-topologies and present the main characterizations of their lower and upper approximations. We apply these approximations to classify the regions of the subset and compute its accuracy measures. The master merits of the current approach are to produce the highest accuracy values compared with all approaches given in the published literature under a reflexive relation as well as preserve the monotonicity property of accuracy and roughness measures. Moreover, we demonstrate the good performance of the followed technique through analysis of some data of dengue fever disease. Ultimately, we debate the advantages and disadvantages of the followed approach and make a plan for some upcoming work.

Keywords: Accuracy and roughness measures; Dengue fever; Nk-neighborhood; Supra upper and supra lower approximations; Supra-topology.

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Conflict of interest statement

Conflict of interestThe authors declare that there is no conflict of interests regarding the publication of this article.

Figures

Fig. 1
Fig. 1
Flow chart of determining supra k-exact and supra k-rough subsets of k-supra topologies
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References

    1. Abd El-Monsef ME, Embaby OA, El-Bably MK. Comparison between rough set approximations based on different topologies. Int J Granul Comput Rough Sets Intell Syst. 2014;3(4):292–305.
    1. Abo-Tabl EA. Rough sets and topological spaces based on similarity. Int J Mach Learn Cybern. 2013;4:451–458.
    1. Abo-Tabl EA. On links between rough sets and digital topology. Appl Math. 2014;5:941–948.
    1. Abu-Donia HM. Comparison between different kinds of approximations by using a family of binary relations. Knowl-Based Syst. 2008;21:911–919.
    1. Abu-Donia HM. Multi-knowledge based rough approximations and applications. Knowl-Based Syst. 2012;26:20–29.

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