Title: An application of multi-layered fuzzy attributed rough set in studying organisational culture system

Authors: B. Praba; G. Gomathi; Vijaya Mani; M. Vageesh

Addresses: Department of Mathematics, SSN College of Engineering, Chennai, Tamil Nadu, India ' Department of Mathematics, SSN College of Engineering, Chennai, Tamil Nadu, India ' SSN School of Management, Rajiv Gandhi Salai (OMR), Chennai, Tamil Nadu, India ' Department of Electrical and Electronics Engineering, SSN College of Engineering, Chennai, Tamil Nadu, India

Abstract: In this paper, the concept of rough set is introduced for an information system with multi-layered weighted fuzzy attributes. The equivalence classes of the objects are formed using the fuzzy weight given to the objects in terms of these multi-layered weighted fuzzy attributes. The weight of the rough set is also defined using the weight of its lower and upper approximations and also we defined an interval valued fuzzy set on the set of objects. This helps to study the behaviour of any system with complex attributes. These concepts are illustrated with a real-time example.

Keywords: rough set; information system; lower approximation; upper approximation; equivalence classes.

DOI: 10.1504/IJMOR.2018.094849

International Journal of Mathematics in Operational Research, 2018 Vol.13 No.3, pp.320 - 331

Received: 18 Nov 2016
Accepted: 18 Feb 2017
Published online: 25 Sep 2018 *

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