Fuzzy sets, uncertainty, and information
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Information Sciences: an International Journal
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Information Sciences: an International Journal
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IEEE Computational Intelligence Magazine
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Uncertainty bounds and their use in the design of interval type-2 fuzzy logic systems
IEEE Transactions on Fuzzy Systems
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IEEE Transactions on Fuzzy Systems
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IEEE Transactions on Fuzzy Systems
Geometric Type-1 and Type-2 Fuzzy Logic Systems
IEEE Transactions on Fuzzy Systems
Type-reduction of the discretised interval type-2 fuzzy set
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Interval type-2 fuzzy logic congestion control for video streaming across IP networks
IEEE Transactions on Fuzzy Systems
Multivariate modeling and type-2 fuzzy sets
Fuzzy Sets and Systems
Information Sciences: an International Journal
Interval Type-2 fuzzy voter design for fault tolerant systems
Information Sciences: an International Journal
Fire-rule-based direct adaptive type-2 fuzzy H∞ tracking control
Engineering Applications of Artificial Intelligence
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Information Sciences: an International Journal
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Information Sciences: an International Journal
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A closed form type reduction method for piecewise linear interval type-2 fuzzy sets
International Journal of Approximate Reasoning
Fuzzy Optimization and Decision Making
Information Sciences: an International Journal
Type-1 OWA methodology to consensus reaching processes in multi-granular linguistic contexts
Knowledge-Based Systems
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This paper proposes a new approach for defuzzification of interval type-2 fuzzy sets. The collapsing method converts an interval type-2 fuzzy set into a type-1 representative embedded set (RES), whose defuzzified values closely approximates that of the type-2 set. As a type-1 set, the RES can then be defuzzified straightforwardly. The novel representative embedded set approximation (RESA), to which the method is inextricably linked, is expounded, stated and proved within this paper. It is presented in two forms: Simple RESA: this approximation deals with the most simple interval FOU, in which a vertical slice is discretised into 2 points. Interval RESA: this approximation concerns the case in which a vertical slice is discretised into 2 or more points. The collapsing method (simple RESA version) was tested for accuracy and speed, with excellent results on both criteria. The collapsing method proved more accurate than the Karnik-Mendel iterative procedure (KMIP) for an asymmetric test set. For both a symmetric and an asymmetric test set, the collapsing method outperformed the KMIP in relation to speed.