The Parametric Form of Z‐Number and Its Application in Z‐Number Initial Value Problem
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...
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| Published in | International journal of intelligent systems Vol. 32; no. 10; pp. 1030 - 1061 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
New York
John Wiley & Sons, Inc
01.10.2017
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Pirmuhammadi, S. Allahviranloo, T. Keshavarz, M. |
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| Snippet | 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... 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... |
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| SubjectTerms | Arithmetic Differentiation Intelligent systems |
| Title | The Parametric Form of Z‐Number and Its Application in Z‐Number Initial Value Problem |
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