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Riemann integrability based optimality criteria for fractional optimization problems with fuzzy parameters

Iranian journal of fuzzy systems (Online), 2022-03, Vol.19 (2), p.151 [Peer Reviewed Journal]

2022. This work is published under https://creativecommons.org/licenses/by-nc/2.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. ;ISSN: 1735-0654 ;EISSN: 2676-4334 ;DOI: 10.22111/ijfs.2022.6796

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  • Title:
    Riemann integrability based optimality criteria for fractional optimization problems with fuzzy parameters
  • Author: Agarwal, D ; Singh, P
  • Subjects: Optimization
  • Is Part Of: Iranian journal of fuzzy systems (Online), 2022-03, Vol.19 (2), p.151
  • Description: This paper aims to establish the Karush-Kuhn-Tucker type optimality criteria for linear fractional optimization problems with fuzzy parameters. To evolve the desired criteria first, the fractional optimization problem is transformed into the non-fractional optimization problem with fuzzy parameters. Then Hukuhara differentiability for the differentiation of functions with fuzzy parameters and Hausdorff metric to expound the distance between the fuzzy numbers is invoked. Optimality criteria are then elicited for the non-fractional optimization problems by introducing Lagrange multipliers and Riemann integration theory. In order to validate the developed theory, two numerical optimization problems are also verified.
  • Publisher: Zahedan: University of Sistan and Baluchestan, Iranian Journal of Fuzzy Systems
  • Language: English
  • Identifier: ISSN: 1735-0654
    EISSN: 2676-4334
    DOI: 10.22111/ijfs.2022.6796
  • Source: Alma/SFX Local Collection
    Coronavirus Research Database
    ProQuest Central

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