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Interval type-2 fuzzy backup 2-median location problem on trees
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Sepideh Taghikhani   , Fahimeh Baroughi * , Behrooz Alizadeh |
| Department of Applied Mathematics, Faculty of Basic Sciences, Sahand University of Technology, Tabriz, Iran , baroughi@sut.ac.ir |
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Abstract: (172 Views) |
| The backup 2-median location problem on a tree T is to deploy two servers at the vertices such that the expected sum of distances from all vertices to the set of functioning servers is minimum. In this paper, we investigate the backup 2-median location problem on tree networks with trapezoidal interval type-2 fuzzy weights. We first, present a new method for comparing generalized trapezoidal fuzzy numbers and then develop it for trapezoidal interval type-2 fuzzy numbers. Then numerical examples are given to compare the proposed methods with other existing methods. Finally, we apply our ranking method to solve the the backup 2-median location problem on a tree network with trapezoidal interval type-2 fuzzy weights. |
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| Keywords: Location theory, Backup 2-median, Generalized fuzzy number, Trapezoidal interval type-2 fuzzy number |
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Full-Text [PDF 875 kb]
(35 Downloads)
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Type of Study: Original |
Subject:
Fuzzy Sets and Systems
Received: 2024/08/20 | Accepted: 2024/10/30 | Published: 2025/04/25
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