On Some Classical Soft Intersection Properties

Volume 9, Issue 7, pp 5136--5142 http://dx.doi.org/10.22436/jnsa.009.07.15

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Authors

Parin Chaipunya - KMUTTFixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand. Poom Kumam - KMUTTFixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand. - KMUTT-Fixed Point Theory and Applications Research Group (KMUTT-FPTA), Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand.

Abstract

In this paper, we investigate on the finite soft intersection property of a family of soft sets that is indexed by another soft set, so that such family is represented by a soft set-valued map. We show that the finite soft intersection property is characterized by some appropriate conditions on such maps.

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Keywords

• Soft set
• soft intersection
• soft topological space
• soft connectedness.

MSC

•  54A40
•  54C60

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