A method for solving interval type-2 triangular fuzzy bilevel linear programming problem

In this paper, we consider the bilevel linear programming problem (BLPP) where all the coefficients in the problem are interval type-2 triangular fuzzy numbers (IT2TFNs). First, we convert a BLPP with IT2TFN parameters to an interval BLPP. In the next step, we solve BLPPs and obtain optimal solution...

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Bibliographic Details
Published in:	Yugoslav Journal of Operations Research Vol. 33; no. 1; pp. 71 - 90
Main Authors:	Davoudi, Niloofar, Hamidi, Farhad, Nehi, Hasan
Format:	Journal Article
Language:	English
Published:	University of Belgrade 2023
Subjects:	bilevel linear programming problem interval type-2 triangular fuzzy number type-2 fuzzy sets
ISSN:	0354-0243, 1820-743X
Online Access:	Get full text
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Summary:	In this paper, we consider the bilevel linear programming problem (BLPP) where all the coefficients in the problem are interval type-2 triangular fuzzy numbers (IT2TFNs). First, we convert a BLPP with IT2TFN parameters to an interval BLPP. In the next step, we solve BLPPs and obtain optimal solution as an IT2TFN.
ISSN:	0354-0243 1820-743X
DOI:	10.2298/YJOR210715027H