Fuzzy relation inequality-based consistency of the wireless communication basic-station system considering the non-working state stations

Requirements of the electromagnetic intensities of radio waves in a wireless communication basic-station (WCBS) system could be reduced into a system of fuzzy relation inequalities with max-product composition. In order to check the consistency of a WCBS system with some non-working basic stations,...

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Bibliographic Details
Published in:Soft computing (Berlin, Germany) Vol. 26; no. 11; pp. 5131 - 5142
Main Authors: Yang, Xiaopeng, Li, Jianzhong
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2022
Subjects:
Artificial Intelligence
Computational Intelligence
Control
Engineering
Fuzzy Systems and Their Mathematics
Mathematical Logic and Foundations
Mechatronics
Robotics
Wireless communication basic-station system
Fuzzy relation equation
System consistency
Fuzzy relation inequality
Max-product composition
ISSN:1432-7643, 1433-7479
Online Access:Get full text
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Summary:Requirements of the electromagnetic intensities of radio waves in a wireless communication basic-station (WCBS) system could be reduced into a system of fuzzy relation inequalities with max-product composition. In order to check the consistency of a WCBS system with some non-working basic stations, we first introduce the consistency checking method for a WCBS system without any non-working basic station. An index set approach is designed for the consistency checking, with some numerical examples illustrating the effectiveness of our proposed approach. Moreover, in order to reduce the maintenance cost of the basic stations, we further discuss the minimum number of working stations, ensuring that the WCBS system is consistent. The corresponding minimization problem is equivalently converted into a 0-1 integer programming problem, which could be directly solved by some common softwares. The major contribution of this work is to develop an effective approach for obtaining the minimum number of working stations for a given WCBS system. Our obtained results have been formally proved in theory and illustrated by some numerical examples.
ISSN:1432-7643
1433-7479
DOI:10.1007/s00500-022-07076-x