Journal
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS
Volume 32, Issue 10, Pages 1030-1061Publisher
WILEY
DOI: 10.1002/int.21883
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In this paper, the parametric form of Z-numbers is introduced and it is followed by defining arithmetic operations on them. To suggest Z-number initial value problem (ZIVP), definition of derivative of Z-process is necessary. For this purpose, the generalized Hukuhara differentiation and generalized differentiation are defined in details. To solve the mentioned ZIVP, the characterization theorem is proved. Finally, for more illustrations of the subject, some examples are solved and expounded. (C) 2017 Wiley Periodicals, Inc.
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