Soft Real Analysis

Radwa Hassan; O. A. Tantawy

Radwa Hassan Department of Mathematics, Faculty of science, Zagazig University, Zagazig, Egypt
O. A. Tantawy Mathematics Department, Faculty of Science, Suez Canal University, Ismailia, Egypt

Keywords: Soft sets, Soft real sets, Soft real numbers, countable soft sets, Soft supermum and Soft infimum.

Abstract

The Soft Real number is a parameterized collection real numbers. And by this relation, every properties of real numbers can be discussed in soft real numbers. In this paper, we introduce the operations on soft real numbers and define countable and uncountable soft real sets. Also, some concepts of real numbers such as( upper bound, lower bound, supermum and infimum) are introduced.

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