On Fréchet and Gateaux Derivatives for Interval and Fuzzy-Valued Functions in the Setting of Gh-Differentiability
IEEE International Conference on Fuzzy Systems(2020)
摘要
We present new results in the calculus for interval functions of multiple real variables in the setting of gH-differentiability and, based on a new concept of interval linear functions, we define and analyse Gateaux and Frechet́ differentiability and their properties. Finally, the results obtained for interval-valued functions are easily extended (level-wise) to define linear fuzzy-valued functions and corresponding Gateaux-Fréchet fuzzy differentiability.
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关键词
linear fuzzy-valued functions,gH-differentiability,calculus,interval functions,multiple real variables,interval linear functions,Frechet́ differentiability,interval-valued functions,Gateaux-Fréchet derivatives
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