Abstract
In this paper we put forward the concepts of directional derivative, differential and subdifferential for fuzzy valued functions, discuss the characterizations of them and the relations among them. We also define the gradients of a fuzzy valued function and study the relation between gradients and partial derivatioves, the relation between the directional a.e. cut-derivatives and the subgradients of the convex fuzzy mappings. At the end, we give two results of application in convex fuzzy programming.
This paper is supported by HIT. MD. 2000. 21.
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© 2002 Springer-Verlag Berlin Heidelberg
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Congxin, W., Guixiang, W., Cong, W. (2002). Derivative and Differential of Convex Fuzzy Valued Functions and Application. In: Pal, N.R., Sugeno, M. (eds) Advances in Soft Computing — AFSS 2002. AFSS 2002. Lecture Notes in Computer Science(), vol 2275. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45631-7_65
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DOI: https://doi.org/10.1007/3-540-45631-7_65
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