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Limits of it-Soft Sets and Their Applications for Rough Sets
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Version 1
: Received: 27 July 2018 / Approved: 1 August 2018 / Online: 1 August 2018 (09:01:34 CEST)
A peer-reviewed article of this Preprint also exists.
Xie, X.; He, J. Limits of it-Soft Sets and Their Applications for Rough Sets. Symmetry 2018, 10, 406. Xie, X.; He, J. Limits of it-Soft Sets and Their Applications for Rough Sets. Symmetry 2018, 10, 406.
Abstract
Soft set theory is a mathematical tool for dealing with uncertainty. This paper investigates limits of interval type of soft sets (for short, it-soft sets). The concept of it-soft sets is first introduced. Then, limits of it-soft sets are proposed and their properties are obtained. Next, point-wise continuity of it-soft sets and continuous it-soft sets are discussed. Finally, an application for rough sets is given.
Keywords
soft set; it-soft set; limit; continuity; rough set
Subject
Computer Science and Mathematics, Analysis
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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