Extending similarity measures of interval type-2 fuzzy sets to general type-2 fuzzy sets

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McCulloch, Josie, Wagner, Christian and Aickelin, Uwe (2013) Extending similarity measures of interval type-2 fuzzy sets to general type-2 fuzzy sets. In: IEEE International Conference on Fuzzy Systems 2013 (Fuzz-IEEE 2013), 7-10 July 2013, Hyderabad, India.

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Abstract

Similarity measures provide one of the core tools

that enable reasoning about fuzzy sets. While many types of

similarity measures exist for type-1 and interval type-2 fuzzy sets, there are very few similarity measures that enable the comparison of general type-2 fuzzy sets. In this paper, we introduce a general method for extending existing interval type-2 similarity measures to similarity measures for general type-2 fuzzy sets. Specifically, we show how similarity measures for interval type-2 fuzzy sets can be employed in conjunction with the zSlices based general type-2 representation for fuzzy sets to provide measures

of similarity which preserve all the common properties (i.e.

reflexivity, symmetry, transitivity and overlapping) of the original interval type-2 similarity measure. We demonstrate examples of such extended fuzzy measures and provide comparisons between (different types of) interval and general type-2 fuzzy measures.

Item Type: Conference or Workshop Item (Paper)
RIS ID: https://nottingham-repository.worktribe.com/output/1004937
Additional Information: Published in: IEEE International Conference on Fuzzy Systems (FUZZ) 2013 (ISBN: 9781479900206 ; doi: 10.1109/FUZZ-IEEE.2013.6622408）. © IEEE.
Keywords: Fuzzy, Logic
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Computer Science
Depositing User: Aickelin, Professor Uwe
Date Deposited: 29 Sep 2014 11:06
Last Modified: 04 May 2020 20:20
URI: https://eprints.nottingham.ac.uk/id/eprint/3339

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