An optimization technique for national income determination model with stability analysis of differential equation in discrete and continuous process under the uncertain environment
RAIRO - Operations Research - Recherche Opérationnelle, Tome 53 (2019) no. 5, pp. 1649-1674.

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.

DOI : 10.1051/ro/2018071
Classification : 34Dxx, 39Axx, 90C70, 90C90
Mots-clés : Optimization, national income determination model, fuzzy difference equation, fuzzy differential equation
Sarkar, Biswajit 1 ; Mondal, Sankar Prasad 1 ; Hur, Sun 1 ; Ahmadian, Ali 1 ; Salahshour, Soheil 1 ; Guchhait, Rekha 1 ; Iqbal, Muhammad Waqas 1

1 
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     author = {Sarkar, Biswajit and Mondal, Sankar Prasad and Hur, Sun and Ahmadian, Ali and Salahshour, Soheil and Guchhait, Rekha and Iqbal, Muhammad Waqas},
     title = {An optimization technique for national income determination model with stability analysis of differential equation in discrete and continuous process under the uncertain environment},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {1649--1674},
     publisher = {EDP-Sciences},
     volume = {53},
     number = {5},
     year = {2019},
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Sarkar, Biswajit; Mondal, Sankar Prasad; Hur, Sun; Ahmadian, Ali; Salahshour, Soheil; Guchhait, Rekha; Iqbal, Muhammad Waqas. An optimization technique for national income determination model with stability analysis of differential equation in discrete and continuous process under the uncertain environment. RAIRO - Operations Research - Recherche Opérationnelle, Tome 53 (2019) no. 5, pp. 1649-1674. doi : 10.1051/ro/2018071. http://archive.numdam.org/articles/10.1051/ro/2018071/

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