Footprint of uncertainty for type-2 fuzzy sets
In the paper, a new and comprehensible definition is proposed for type-2 fuzzy sets (T2 FSs), and the primary and secondary memberships function are defined respectively by using multi valued mapping. A new definition and formula for the footprint of uncertainty (FOU) is presented, and based on the...
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| Veröffentlicht in: | Information sciences 2014-07, Vol.272, p.96-110 |
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| container_title | Information sciences |
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| creator | Mo, Hong Wang, F.-Y. Zhou, Min Li, Runmei Xiao, Zhiquan |
| description | In the paper, a new and comprehensible definition is proposed for type-2 fuzzy sets (T2 FSs), and the primary and secondary memberships function are defined respectively by using multi valued mapping. A new definition and formula for the footprint of uncertainty (FOU) is presented, and based on the new definitions, the relation between FOU and the original definition of T2 FS is discussed. Finally, the partition method of FOU is provided to represent the primary membership grade, the FOU and the interval type-2 fuzzy sets (IT2 FS) when the upper and lower membership functions (UMF, LMF) of FOU are given. |
| doi_str_mv | 10.1016/j.ins.2014.02.092 |
| format | Article |
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| source | Elsevier ScienceDirect Journals |
| subjects | Footprint of uncertainty (FOU) Footprints Fuzzy set theory Interval type-2 fuzzy set (IT2 FS) Intervals Mapping Partition method of FOU Partitions Type-2 fuzzy set (T2 FS) Uncertainty |
| title | Footprint of uncertainty for type-2 fuzzy sets |
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