γ-Operation and Some Types of Soft Sets and Soft Continuity of (Supra) Soft Topological Spaces

View Sample PDF

Author(s): Ali Kandil (Helwan University, Egypt), Osama A. El-Tantawy (Zagazig University, Egypt), Sobhy A. El-Sheikh (Ain Shams University, Egypt)and A. M. Abd El-latif (Ain Shams University, Egypt)
Copyright: 2016
Pages: 45
Source title: Handbook of Research on Generalized and Hybrid Set Structures and Applications for Soft Computing
Source Author(s)/Editor(s): Sunil Jacob John (National Institute of Technology Calicut, India)
DOI: 10.4018/978-1-4666-9798-0.ch008

Keywords: Artificial Intelligence / Information Science Reference / Library & Information Science / Theoretical Studies

Purchase

View γ-Operation and Some Types of Soft Sets and Soft Continuity of (Supra) Soft Topological Spaces on the publisher's website for pricing and purchasing information.

Abstract

The main purpose of this chapter is to introduce the notions of ?-operation, pre-open soft set a-open sets, semi open soft set and ß-open soft sets to soft topological spaces. We study the relations between these different types of subsets of soft topological spaces. We introduce new soft separation axioms based on the semi open soft sets which are more general than of the open soft sets. We show that the properties of soft semi Ti-spaces (i=1,2) are soft topological properties under the bijection and irresolute open soft mapping. Also, we introduce the notion of supra soft topological spaces. Moreover, we introduce the concept of supra generalized closed soft sets (supra g-closed soft for short) in a supra topological space (X,µ,E) and study their properties in detail.

The IRMA Community

Research IRM

γ-Operation and Some Types of Soft Sets and Soft Continuity of (Supra) Soft Topological Spaces

Purchase

Abstract

Related Content

IRMA Sponsors