Affiliations: [a] Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan
| [b] Department of Mathematics, Yazd University, Yazd, Iran
Correspondence:
[*]
Corresponding author. M. Riaz, Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan. E-mail: mriaz.math@pu.edu.pk.
Abstract: Rough set theory initiated by Pawlak [16] and soft set theory initiated by Molodtsov [15] are strong mathematical tools for handling uncertain and vague information. In this study, we bring out some results of soft rough sets (
SR
-sets) and topological structure of soft rough sets. We define
SR
-open set,
SR
-closed set,
SR
-interior,
SR
-closure,
SR
-frontier,
SR
-neighbourhood and
SR
-limit point. Furthermore, we propose an algorithm to illustrate uncertainties in the multi-criteria group decision making (MCGDM) using
SR
-sets. We utilize another algorithm for modeling uncertainties in multi-criteria decision making (MCDM) using soft rough topology(
SR
-topology).
