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Research Article | Open Access

A novel method to solve the optimization problem of uncertain network system based on uncertainty theory

Xiaodie Lv1,2( )Yi Liu1,2Yihua Zhong3
School of Mathematics and Information Science, Neijiang Normal University, Neijiang 641000, China
Data Recovery Key Laboratory of Sichuan Province, Neijiang Normal University, Neijiang 641000, China
School of Science, Southwest Petroleum University, Chengdu, Sichuan, 610500, China
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Abstract

When the network optimization problem is discussed, in the actual situation, it is necessary to consider the uncertain factors in the network. This paper employs the theories of uncertainty, uncertain programming and network optimization to solve the uncertain network optimization problem. First, based on uncertainty theory and uncertainty graph, we redefine the concept of an uncertain network system, and propose a unified identification method for an uncertain network system based on a conditional uncertain measure matrix. Second, we establish the network optimization model for the shortest path problem based on a conditional uncertain measure matrix. Third, according to the measure simulation technology, a hybrid intelligent algorithm is designed to solve the model. Finally, the correctness and feasibility of the approach is illustrated by a numerical example of an underground logistics system.

CLC number: 68U35

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AIMS Mathematics
Pages 5445-5461

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Cite this article:
Lv X, Liu Y, Zhong Y. A novel method to solve the optimization problem of uncertain network system based on uncertainty theory. AIMS Mathematics, 2023, 8(3): 5445-5461. https://doi.org/10.3934/math.2023274

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Received: 27 September 2022
Revised: 25 November 2022
Accepted: 05 December 2022
Published: 15 March 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)