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Measuring the similarity between zSlices general type-2 fuzzy sets with non-normal Secondary membership functions

McCulloch, Josie; Wagner, Christian

Authors

Josie McCulloch josie.mcculloch@nottingham.ac.uk



Abstract

This paper presents a method of measuring the similarity between general type-2 fuzzy sets that may have non-normal secondary membership functions. Such fuzzy sets are increasingly common in applications such as the modelling of the subjective meaning of linguistic terms by groups of people. By building upon existing similarity measures in the literature, which thus far cannot compare such fuzzy sets, we derive an extended similarity measure which can be applied to both normal and non-normal (in terms of the secondary membership functions) general type-2 fuzzy sets. We provide proofs that the proposed method follows all of the common properties of a similarity measure and demonstrations are given to compare the proposed method with others in the literature.

Citation

McCulloch, J., & Wagner, C. (2016). Measuring the similarity between zSlices general type-2 fuzzy sets with non-normal Secondary membership functions. https://doi.org/10.1109/FUZZ-IEEE.2016.7737723

Conference Name IEEE World Congress on Computational Intelligence (WCCI 2016)
Start Date Jun 24, 2016
End Date Jul 29, 2016
Acceptance Date Mar 14, 2016
Online Publication Date Nov 10, 2016
Publication Date Jul 30, 2016
Deposit Date Jun 21, 2016
Publicly Available Date Jul 30, 2016
Publisher Institute of Electrical and Electronics Engineers
Peer Reviewed Peer Reviewed
DOI https://doi.org/10.1109/FUZZ-IEEE.2016.7737723
Keywords similarity measure, fuzzy sets, general type-2, zSlices, α-planes
Public URL http://eprints.nottingham.ac.uk/id/eprint/33194
Publisher URL https://ieeexplore.ieee.org/document/7737723/
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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