Premium
A new approach for soft topology and soft function via soft element
Author(s) -
Taşköprü Kemal,
Altıntaş İsmet
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6354
Subject(s) - topology (electrical circuits) , soft set , mathematics , general topology , extension topology , function (biology) , topological space , initial topology , network topology , product topology , relation (database) , computer science , discrete mathematics , combinatorics , artificial intelligence , data mining , evolutionary biology , biology , fuzzy logic , operating system
In this article, we give some new properties of elementary operations on soft sets and then we introduce a new soft topology by using elementary operations over a universal set with a set of parameters called elementary soft topology. Also, we define a topology, members of which are collections of the soft elements and give the relation between this topology and elementary soft topology. We show that this new soft topology is different from those previously defined soft topologies. We prove some of the properties of the topological concepts we investigate in this topology. Finally, we describe soft function and soft continuity and give an application of the soft function as soft set approach to the rotation inE 3 .