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Article type: Research Article
Authors: Phu, Nguyen Dinha; * | Tri, Phan Vanb
Affiliations: [a] Faculty of Mathematics and Computer Science, University of Science, VNU Ho Chi Minh City, Viet Nam | [b] Faculty of Science Basic, Telecommunications University, Khanh Hoa province, Viet Nam
Correspondence: [*] Corresponding author. Nguyen Dinh Phu, Faculty of Mathematics and Computer Science, University of Science, VNU Ho Chi Minh City, Viet Nam. E-mail: [email protected].
Abstract: In this work we consider the fuzzy dynamic programming problems. For this purpose, using the generalized Hukuhara differentiability for fuzzy functions, new concepts, for example: the fuzzy product, the fuzzy collocation and the Bellman’s principle, we have the neccesary and sufficient conditions.
Keywords: Fuzzy number, fuzzy Hausdrorff metric space, generalized Hukuhara differentiability, the fuzzy dynamic programming problems, Bellman’s principle
DOI: 10.3233/IFS-151875
Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 3, pp. 1663-1674, 2016
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