Measuring the similarity between zSlices general type-2 fuzzy sets with non-normal Secondary membership functions
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 buil...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
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2016
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| Online Access: | https://eprints.nottingham.ac.uk/33194/ |
| _version_ | 1848794579824803840 |
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| author | McCulloch, Josie Wagner, Christian |
| author_facet | McCulloch, Josie Wagner, Christian |
| author_sort | McCulloch, Josie |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:18:27Z |
| format | Conference or Workshop Item |
| id | nottingham-33194 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:18:27Z |
| publishDate | 2016 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-331942020-05-04T17:58:57Z https://eprints.nottingham.ac.uk/33194/ Measuring the similarity between zSlices general type-2 fuzzy sets with non-normal Secondary membership functions McCulloch, Josie Wagner, Christian 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. 2016-07-30 Conference or Workshop Item PeerReviewed McCulloch, Josie and Wagner, Christian (2016) Measuring the similarity between zSlices general type-2 fuzzy sets with non-normal Secondary membership functions. In: IEEE World Congress on Computational Intelligence (WCCI 2016), 24-29 July 2016, Vancouver, Canada. (Submitted) similarity measure fuzzy sets general type-2 zSlices α-planes |
| spellingShingle | similarity measure fuzzy sets general type-2 zSlices α-planes McCulloch, Josie Wagner, Christian Measuring the similarity between zSlices general type-2 fuzzy sets with non-normal Secondary membership functions |
| title | Measuring the similarity between zSlices general type-2 fuzzy sets with non-normal Secondary membership functions |
| title_full | Measuring the similarity between zSlices general type-2 fuzzy sets with non-normal Secondary membership functions |
| title_fullStr | Measuring the similarity between zSlices general type-2 fuzzy sets with non-normal Secondary membership functions |
| title_full_unstemmed | Measuring the similarity between zSlices general type-2 fuzzy sets with non-normal Secondary membership functions |
| title_short | Measuring the similarity between zSlices general type-2 fuzzy sets with non-normal Secondary membership functions |
| title_sort | measuring the similarity between zslices general type-2 fuzzy sets with non-normal secondary membership functions |
| topic | similarity measure fuzzy sets general type-2 zSlices α-planes |
| url | https://eprints.nottingham.ac.uk/33194/ |