A novel method to solve the optimization problem of uncertain network system based on uncertainty theory-Reference-Cited by-同舟云学术

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

Published:2022 Issue:3 Volume:8 Page:5445-5461
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Lv Xiaodie¹²,Liu Yi¹²,Zhong Yihua³

Affiliation:

1. School of Mathematics and Information Science, Neijiang Normal University, Neijiang 641000, China

2. Data Recovery Key Laboratory of Sichuan Province, Neijiang Normal University, Neijiang 641000, China

3. School of Science, Southwest Petroleum University, Chengdu, Sichuan, 610500, China

Abstract

<abstract> <p>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.</p> </abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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