Corrigendum to “Comparison of six types of rough approximations based on j-neighborhood space and j-adhesion neighborhood space"

Article type: Research Article

Authors: El-Bably, M.K.^a | Al-shami, T.M.^b | Nawar, A.S.^c | Mhemdi, A.^{d; *}

Affiliations: [a] Department of Mathematics, Tanta University, Tanta, Egypt | [b] Department of Mathematics, Sana’a University, Sana’a, Yemen | [c] Department of Mathematics and Computer Science, Menoufia University, Menoufia, Egypt | [d] Department of Mathematics, College of Sciences and Humanities in Aflaj, Prince Sattam bin Abdulaziz University, Riyadh, Saudi Arabia

Correspondence: [*] Corresponding author. T. M. Al-shami, Department of Mathematics, College of Sciences and Humanities in Aflaj, Prince Sattam bin Abdulaziz University, Riyadh, Saudi Arabia. E-mail: mhemdiabd@gmail.com.

Abstract: The main aims of this paper are to show that some results presented in [1] are erroneous. To this end, we provide some counterexamples to demonstrate our claim, and give the correct form of the incorrect results in [1]. Also, some improvements for the definition of accuracy measure is proposed. Furthermore, we show that the relationships given in the three figures need not be true in general, and determine the conditions under which they are correct. Finally, a medical application in the decision-making of the diagnosis of dengue fever is examined.

Keywords: Rough sets, lower and upper approximations, j-neighborhood, j-adhesion neighborhood, accuracy measure

DOI: 10.3233/JIFS-211198

Journal: Journal of Intelligent & Fuzzy Systems, vol. 41, no. 6, pp. 7353-7361, 2021