New methodology to approximate type-reduction based on a continuous root-finding Karnik Mendel algorithm

DOI10.3390/A10030077zbMath1461.68229OpenAlexW2725188468WikidataQ58488199 ScholiaQ58488199MaRDI QIDQ1657028

Patricia Melin, Emanuel Ontiveros-Robles, Oscar Castillo

Publication date: 13 August 2018

Published in: Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/a10030077

zbMATH Keywords

Karnik-Mendel algorithmtype-reductioninterval type-2 fuzzy logictype-2 fuzzy controltype-2 fuzzy edge detection

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Fuzzy logic; logic of vagueness (03B52) Fuzzy control/observation systems (93C42) Theory of fuzzy sets, etc. (03E72) Reasoning under uncertainty in the context of artificial intelligence (68T37)

Related Items (8)

The stratic defuzzifier for discretised general type-2 fuzzy sets ⋮ Study on centroid type-reduction of general type-2 fuzzy logic systems with weighted Nie-Tan algorithms ⋮ Study on reasonable initialization enhanced Karnik-Mendel algorithms for centroid type-reduction of interval type-2 fuzzy logic systems ⋮ Study on sampling-based discrete noniterative algorithms for centroid type-reduction of interval type-2 fuzzy logic systems ⋮ New efficient algorithms for the centroid of an interval type-2 fuzzy set ⋮ Fuzzy numbers intuitionistic fuzzy descriptor systems ⋮ Interval analysis of the HIV dynamics model solution using type-2 fuzzy sets ⋮ An approach for parameterized shadowed type-2 fuzzy membership functions applied in control applications

Cites Work

• Study on enhanced Karnik-Mendel algorithms: initialization explanations and computation improvements
• A review on interval type-2 fuzzy logic applications in intelligent control
• Approximation of centroid end-points and switch points for replacing type reduction algorithms
• Interval type-2 fuzzy logic for edges detection in digital images

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