A Method for Solving Interval Type-2 Triangular Fuzzy Bilevel Linear Programming Problem

  • Niloofar Davoudi Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
  • Farhad Hamidi Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
  • Hasan Mishmast Nehi Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran

Abstract

In this paper, we consider the bilevel linear programming problem (BLPP) with the uncertainty, where all the coefficients in the problem are interval type-2 triangular fuzzy numbers (IT2TFN). First, we convert an interval type-2 triangular fuzzy bilevel linear programming problem (IT2TFBLPP) to an interval BLPP. In the next step, we solve BLPPs and obtain solution as an IT2TFN.

Published
Nov 20, 2022
How to Cite
DAVOUDI, Niloofar; HAMIDI, Farhad; MISHMAST NEHI, Hasan. A Method for Solving Interval Type-2 Triangular Fuzzy Bilevel Linear Programming Problem. Yugoslav Journal of Operations Research, [S.l.], v. 33, n. 1, p. 71-90, nov. 2022. ISSN 2334-6043. Available at: <https://yujor.fon.bg.ac.rs/index.php/yujor/article/view/1022>. Date accessed: 25 apr. 2024. doi: http://dx.doi.org/10.2298/YJOR210715027H.
Section
Research Articles