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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Vydáno v:Yugoslav Journal of Operations Research Ročník 33; číslo 1; s. 71 - 90
Hlavní autoři: Davoudi, Niloofar, Hamidi, Farhad, Nehi, Hasan
Médium: Journal Article
Jazyk:angličtina
Vydáno: University of Belgrade 2023
Témata:
bilevel linear programming problem
interval type-2 triangular fuzzy number
type-2 fuzzy sets
ISSN:0354-0243, 1820-743X
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Abstract 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.
AbstractList 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.
Author Hamidi, Farhad
Nehi, Hasan
Davoudi, Niloofar
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  organization: Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
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crossref_primary_10_1016_j_jwpe_2025_107687
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SubjectTerms bilevel linear programming problem
interval type-2 triangular fuzzy number
type-2 fuzzy sets
Title A method for solving interval type-2 triangular fuzzy bilevel linear programming problem
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