Abstract
In this paper, we contribute to infrasoft topology which is one of the recent generalizations of soft topology. Firstly, we redefine the concept of soft mappings to be convenient for studying the topological concepts and notions in different soft structures. Then, we introduce the concepts of open, closed, and homeomorphism mappings in the content of infrasoft topology. We establish main properties and investigate the transmission of these concepts between infrasoft topology and its parametric infratopologies. Finally, we define a quotient infrasoft topology and infrasoft quotient mappings and study their main properties with the aid of illustrative examples.
Highlights
We face vagueness, ambiguity, and representation of imperfect knowledge in different areas such as economics, engineering, medical science, sociality, and environmental sciences
We define new types of infrasoft mappings and investigate main properties. We prove that these infrasoft mappings are preserved under product of infrasoft topological spaces and investigate the transmission of these concepts between infrasoft topology and its parametric infratopologies
We target to achieve two goals; first, we update Definition 5 of soft mappings to be convenient for studying the concepts of open, closed, and homeomorphism mappings in different soft structures such as soft topology, suprasoft topology, and infrasoft topology
Summary
Ambiguity, and representation of imperfect knowledge in different areas such as economics, engineering, medical science, sociality, and environmental sciences. Mathematicians, engineers, and scientists, those who focus on artificial intelligence, are seeking for approaches to solve the problems that contain vagueness They experienced a trouble: how they can formulate uncertain concepts that may not involve mathematically definite results. Shabir and Naz [7] and Çaǧman et al [8] initiated the concept of soft topology They used different techniques to formulate soft topology. Kharal and Ahmad [9] defined soft mappings using two ordinary (crisp) mappings, one of them between the sets of parameters and the other between the universal sets We reformulate this definition using the concept of soft points to be convenient for studying in different soft structures.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
