A novel approach to study soft preopen sets inspired by classical topologies

Faculty Science Year: 2023
Type of Publication: ZU Hosted Pages: 6339-6350
Authors:
Journal: Journal of Intelligent & Fuzzy Systems IOS Press Volume: 45
Keywords : , novel approach , study soft preopen sets    
Abstract:
Our target in the present work, is presenting the idea of weakly soft preopen (ws-preopen) subsets and studying some of its characterizations. With the assistance of some elucidative examples, the interrelationships between ws-preopen sets and some extensions of soft open sets are studied. Under some conditions such as extended and hyperconnected soft topologies, several motivating results and relationships are acquired. The interior and closure operators that built through wspreopen and ws-preclosed subsets are introduced. Their main features that construe the relations among them are established. Soft continuity with respect to theses classes of soft subsets are studied and their substantial characteristics are investigated. Generally, the systematic relations and outcomes that are lost through the scope of this study are discussed. The proposed line in the current study will present new ways to discover novel concepts in the field of soft topology
   
     
 
       

Author Related Publications

  • Rodyna Ahmed Mahmoud, "More Properties on Continuous Multifunctions", American Scientific Publishers, 2018 More
  • Rodyna Ahmed Mahmoud, "Extra strongly generalized closed soft sets", International Information Institute (Tokyo), 2016 More
  • Rodyna Ahmed Mahmoud, "Modification of soft topology via soft stacks", International Information Institute (Tokyo), 2016 More
  • Rodyna Ahmed Mahmoud, "Supra soft separation axioms and supra irresoluteness based on supra b-Soft sets", GU J Sci, 2016 More
  • Rodyna Ahmed Mahmoud, "Supra semi open soft sets and associated soft separation axioms", Natural Sciences Publishing Cor., 2016 More

Department Related Publications

  • Heba Ibrahim Mustafa, "Bi Operation and Rough Sets Generalizations", Dixie W Publishing Corporation, U. S. A., 2008 More
  • Alaa Hassan Attia Hassan, "A New Class of Analytic Functions Defined by Using Salagean Operator", Hindawi Publishing Corporation, USA, 2013 More
  • Usama Abdelhamid Ibrahim, "Fuzzy Pairwise Separation Axioms in fuzzy Bitopological spaces", Jöklarannsóknafélag Íslands, 2013 More
  • Huda Ibrahim Sayed Ahmad, ", Multigrid solution of Three Dimensional Biharmonic Equations With Dirichlet Boundary Conditions of Second Kinds", كوريا, 2010 More
  • Huda Ibrahim Sayed Ahmad, "The two variable (G'/G,1/G) -expansion method for finding exact traveling wave solutions of the (3+1) - dimensional nonlinear potential Yu-Toda-Sasa-Fukuyama equation", الصين, 2013 More
Tweet