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

Biswajit Sarkar, Sankar Prasad Mondal, Sun Hur, Ali Ahmadian, Soheil Salahshour, Rekha Guchhait, Muhammad Waqas Iqbal

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)1649-1674
Number of pages26
JournalRAIRO - Operations Research
Volume53
Issue number5
DOIs
Publication statusPublished - 2019

Bibliographical note

Funding Information:
Acknowledgements. This work has been supported by the National Research Foundation of Korea (NRF) grant funded by the Korea Government (MSIT) (2017R1A2B4006643).

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science Applications
  • Management Science and Operations Research

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