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An optimization technique for national income determination model with stability analysis of differential equation in discrete and continuous process under the uncertain environment

Title
An optimization technique for national income determination model with stability analysis of differential equation in discrete and continuous process under the uncertain environment
Author
허선
Keywords
Optimization; national income determination model; fuzzy difference equation; fuzzy differential equation
Issue Date
2019-10
Publisher
EDP SCIENCES S A
Citation
RAIRO-OPERATIONS RESEARCH, v. 53, No. 5, Page. 1649-1674
Abstract
The paper represents a variation of the national income determination model with discrete and continuous process in fuzzy environment, a significant implication in economics planning, by means of fuzzy assumptions. This model is re-recognized and deliberated with fuzzy numbers to estimate its uncertain parameters whose values are not precisely known. Exhibition of imprecise solutions of the concerned model is carried out by using the proposed two methods: generalized Hukuhara difference and generalized Hukuhara derivative (gH-derivative) approaches. Moreover, the stability analysis of the model in two different systems in fuzzy environment is illustrated. Additionally, different illustrative examples for optimization of national income determination model are undertaken with the constructive graph and table for convenience for clarity of the projected approaches.
URI
https://www.rairo-ro.org/articles/ro/abs/2019/05/ro170350/ro170350.htmlhttp://repository.hanyang.ac.kr/handle/20.500.11754/121268
ISSN
0399-0559; 1290-3868
DOI
10.1051/ro/2018071
Appears in Collections:
COLLEGE OF ENGINEERING SCIENCES[E](공학대학) > INDUSTRIAL AND MANAGEMENT ENGINEERING(산업경영공학과) > Articles
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