Soft points, s-relations and soft rough approximate operations

DOI

10.2991/ijcis.2017.10.1.7How to use a DOI?

Keywords

Soft sets; Soft points; Soft point sets; s-relations; Soft rough approximate operations; Soft topologies

Abstract

Soft set theory is a new mathematical tool to deal with uncertain problems. Since soft sets are defined by mappings and they lack “points”, managing them is not convenient. In this paper, the concept of soft points is introduced and the relationship between soft points and soft sets is investigated. We prove that soft sets can be translated into soft point sets and may be expediently handled like ordinary sets. Moreover, we propose s-relations on soft sets. By means of soft points and these results, a pair of soft rough approximate operations is defined. Serial, reflexive, symmetric, transitive and Euclidean s-relations are characterized by using soft rough approximate operations. In addition, we research soft topologies induced by a reflexive s-relation on a special soft set and gives their structure.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

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TY  - JOUR
AU  - Guangji Yu
PY  - 2017
DA  - 2017/01/01
TI  - Soft points, s-relations and soft rough approximate operations
JO  - International Journal of Computational Intelligence Systems
SP  - 90
EP  - 103
VL  - 10
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.2017.10.1.7
DO  - 10.2991/ijcis.2017.10.1.7
ID  - Yu2017
ER  -