Novel concepts of soft rough set topology with applications

Muhammad Riaz · Bijan Davvaz · Atiqa Firdous · Atiqa Fakhar

49 citations0/0 files storedJournal of Intelligent & Fuzzy Systems

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Fuzzy and Soft Set Theory Multi-Criteria Decision Making Rough Sets and Fuzzy Logic

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).

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1965Fuzzy sets 1999Soft set theory—First results 2003Soft set theory 2002An application of soft sets in a decision making problem 2009On some new operations in soft set theory 2007Soft sets and soft groups 2011On soft topological spaces 2007A fuzzy soft set theoretic approach to decision making problems

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