Study on Generalized Directional Differentiability Problems of Fuzzy Mappings
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This paper discusses the gH-directional differentiability of fuzzy mappings, and proposes the concept of gH-directional differentiability of fuzzy mappings. Based on the concept of gH-directional differentiability of interval-valued mappings and its related properties, two properties of gH-directional differentiability fuzzy mappings are proposed. At the same time, the relation between gH-differentiability and gH-directional differentiability for a fuzzy mapping is discussed, and it is proved that both gH-derivative and gH-partial derivative are directional derivatives of fuzzy mappings in the direction of the coordinate axis.
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1985 ◽
Vol 23
(4)
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pp. 566-583
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1990 ◽
Vol 66
(3)
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pp. 489-502
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2005 ◽
Vol 50
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pp. 947-955
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1992 ◽
Vol 77
(3)
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pp. 273-284
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