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Riemann integrability based optimality criteria for fractional optimization problems with fuzzy parameters | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 12، دوره 19، شماره 2، خرداد و تیر 2022، صفحه 151-168 اصل مقاله (245.28 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2022.6796 | ||
| نویسندگان | ||
| D. Agarwal1؛ P. Singh* 2 | ||
| 1Department of Mathematics, Motilal Nehru National Institute of Technology Allahabad, Prayagraj, India | ||
| 2Department of Mathematics, G L Bajaj Institute of Technology and Management, Greater Noida, India | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Hukuhara difference؛ Hausdorff metric؛ H-differentiability؛ Riemann integration؛ Lagrange multipliers | ||
| مراجع | ||
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