R-fuzzy sets and grey system theory

Singh Khuman, Arjab and Yang, Yingjie and John, Robert and Liu, Sifeng (2016) R-fuzzy sets and grey system theory. In: 2016 IEEE International Conference on Systems, Man, and Cybernetics (SMC 2016), 9-12 October 2016, Budapest, Hungary. (In Press)

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Abstract

This paper investigates the use of grey theory to en- hance the concept of an R-fuzzy set, with regards to the precision of the encapsulating set of returned significance values. The use of lower and upper approximations from rough set theory, allow for an R-fuzzy approach to encapsulate uncertain fuzzy membership values; both collectively generic and individually specific. The authors have previously created a significance measure, which when combined with an R-fuzzy set provides one with a refined approach for expressing complex uncertainty. This pairing of an R-fuzzy set and the significance measure, replicates in part, the high detail of uncertainty representation from a type-2 fuzzy approach, with the relative ease and objectiveness of a type-1 fuzzy approach. As a result, this new research method allows for a practical means for domains where ideally a generalised type-2 fuzzy set is more favourable, but ultimately unfeasible due to the subjectiveness of type-2 fuzzy membership values. This paper focuses on providing a more effective means for the creation of the set which encapsulates the returned degrees of significance. Using grey techniques, rather than the arbitrary configuration of the original work, the result is a high precision set for encapsulation, with the minimal configuration of parameter values. A worked example is used to demonstrate the effectiveness of using grey theory in conjunction with R-fuzzy sets and the significance measure.

Item Type: Conference or Workshop Item (Paper)
Additional Information: © 2016 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. Published in: Proceedings the 2016 IEEE International Conference on Systems, Man, and Cybernetics (SMC 2016). The Institute of Electrical and Electronics Engineers, c2016, ISBN
Schools/Departments: University of Nottingham UK Campus > Faculty of Science > School of Computer Science
Related URLs:
URLURL Type
http://www.ieeesmc.org/publications/enewsletter/338-2016-ieee-international-conference-on-systems-man-and-cyberneticsUNSPECIFIED
http://www.smc2016.org/UNSPECIFIED
Depositing User: John, Professor Robert
Date Deposited: 08 Jun 2016 12:54
Last Modified: 12 Oct 2016 20:36
URI: http://eprints.nottingham.ac.uk/id/eprint/33840

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