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Fuzzy decisive set method for solving multiobjective linear programming problem with intuitionistic fuzzy parameters as a new approach | ||
| Caspian Journal of Mathematical Sciences | ||
| مقاله 14، دوره 11، شماره 1، 2022، صفحه 170-180 اصل مقاله (300.92 K) | ||
| نوع مقاله: Research Articles | ||
| شناسه دیجیتال (DOI): 10.22080/cjms.2021.18538.1479 | ||
| نویسندگان | ||
| Elham Hosseinzadeh* 1؛ Sakineh Beigi2؛ Javad Tayyebi3 | ||
| 1Department of Mathematics, Kosar University of Bojnord, Bojnord, Iran | ||
| 2Department of Industrial Engineering, Kosar University of Bojnord, Bojnord, Iran | ||
| 3Department of Industrial Engineering, Birjand University of Technology, Birjand, Iran | ||
| تاریخ دریافت: 08 اردیبهشت 1399، تاریخ بازنگری: 03 فروردین 1400، تاریخ پذیرش: 11 فروردین 1400 | ||
| چکیده | ||
| In this article, we construct a new computational algorithm for solving multiobjective linear programming problem in intuitionistic fuzzy environment. The resources and technological coefficients are taken to be intuitionistic fuzzy numbers. Here, the intuitionistic fuzzy multi-objective linear programming problem is transformed into an equivalent crisp multi-objective linear programming problem. By using fuzzy mathematical programming approach, the transformed multiobjective linear programming problem is reduced into a single objective nonlinear and non-convex programming problem. Stepwise algorithm is given for solving an intuitionistic fuzzy multiobjective linear programming problem and it is checked with a numerical example using intuitionistic fuzzy decisive set method. | ||
| کلیدواژه‌ها | ||
| Intuitionistic fuzzy set, Multi-objective linear programming problem؛ Membership and non-membership functions؛ Intuitionistic index؛ fuzzy decisive set method | ||
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آمار تعداد مشاهده مقاله: 287 تعداد دریافت فایل اصل مقاله: 214 |
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