A new multi-ideal nano-topological model via neighborhoods for diagnosis and cure of dengue

被引:10
作者
Kaur, Kamalpreet [1 ]
Gupta, Asha [1 ]
Al-shami, Tareq M. [2 ,3 ]
Hosny, M. [4 ]
机构
[1] Punjab Engn Coll, Dept Math, Chandigarh 160012, India
[2] Sanaa Univ, Dept Math, POB 1247, Sanaa, Yemen
[3] Jadara Univ, Jadara Univ Res Ctr, Irbid 21110, Jordan
[4] King Khalid Univ, Coll Sci, Dept Math, Abha 61413, Saudi Arabia
关键词
Nano-topology; Approximation operator; Ideals; R-j-neighborhoods; Decision-making; DECISION-MAKING; ROUGH SETS; APPROXIMATION SPACE; REDUCTION;
D O I
10.1007/s40314-024-02910-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The idea of nano-topology was originally proposed a decade ago by Thivagar. Since then, a lot of research has been done on the generalizations of the basic notions of nano-topology to overcome the limitations of an equivalence relation. The aim of this paper is to induce a novel frame of nano-topology using various covering-based neighborhoods via multiple ideals. The main properties of the proposed frame are acquired with the help of some illustrative instances, as well as its pros compared to the previous ones are investigated amply. A medical application is also discussed towards the end of this paper, where multi-ideal nano-topology is used to find the key symptoms of dengue disease. In addition, the most suitable medication is also suggested for the cure using the proposed theory.
引用
收藏
页数:22
相关论文
共 48 条
[1]  
Abd El-Monsef M.E., 2015, J. Egypt Math. Soc., V23, P535, DOI [10.1016/j.joems.2014.12.007, DOI 10.1016/J.JOEMS.2014.12.007]
[2]   Some Topological Approaches for Generalized Rough Sets and Their Decision-Making Applications [J].
Abu-Gdairi, Radwan ;
El-Gayar, Mostafa A. ;
Al-shami, Tareq M. ;
Nawar, Ashraf S. ;
El-Bably, Mostafa K. .
SYMMETRY-BASEL, 2022, 14 (01)
[3]   Hybrid multi-attribute decision-making model based on (m, N)-soft rough sets [J].
Akram, Muhammad ;
Ali, Ghous ;
Alcantud, Jose Carlos R. .
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 36 (06) :6325-6342
[4]   Covering-Based Rough Fuzzy, Intuitionistic Fuzzy and Neutrosophic Nano Topology and Applications [J].
Al Shumrani, Mohammed A. ;
Topal, Selcuk ;
Smarandache, Florentin ;
Ozel, Cenap .
IEEE ACCESS, 2019, 7 :172839-172846
[5]   Maximal rough neighborhoods with a medical application [J].
Al-shami T.M. .
Journal of Ambient Intelligence and Humanized Computing, 2023, 14 (12) :16373-16384
[6]   Overlapping containment rough neighborhoods and their generalized approximation spaces with applications [J].
Al-shami, Tareq M. ;
Mhemdi, Abdelwaheb .
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2025, 71 (01) :869-900
[7]   Generalized approximation spaces generation from Ii-neighborhoods and ideals with application to Chikungunya disease [J].
Al-shami, Tareq M. ;
Hosny, M. .
AIMS MATHEMATICS, 2024, 9 (04) :10050-10077
[8]   Approximation operators and accuracy measures of rough sets from an infra-topology view [J].
Al-shami, Tareq M. ;
Mhemdi, Abdelwaheb .
SOFT COMPUTING, 2023, 27 (03) :1317-1330
[9]   Improvement of Approximation Spaces Using Maximal Left Neighborhoods and Ideals [J].
Al-Shami, Tareq M. ;
Hosny, Mona .
IEEE ACCESS, 2022, 10 :79379-79393
[10]   Topological approach to generate new rough set models [J].
Al-shami, Tareq M. .
COMPLEX & INTELLIGENT SYSTEMS, 2022, 8 (05) :4101-4113