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Evaluation and its derived classification in a Server-to-Client architecture based on the fuzzy relation inequality

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Abstract

Server-to-Client network system is one of the most important architectures for data transmission. Fuzzy relation inequalities have been introduced to manage the quality levels in such system. In most existing works, relevant optimization models have been studied for providing some optional schemes to the manager. In this paper, we first define the concept of evaluation score for the server, embodying the service capability for supplying its local resources to the clients. Then the servers could be ordered according to their evaluation scores. Some interesting properties of the evaluation score vector are investigated. Applying our proposed evaluation model, we further construct an equivalence relation, based on which the complete solution set of the fuzzy relation inequalities could be divided into several equivalence classes. In such classification, each equivalence class corresponds to a unique evaluation score vector. Numerical examples are provided to illustrate our proposed evaluation model and classification method.

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Acknowledgements

Supported by the National Natural Science Foundation of China (61877014) and the funds provided by the Department of Education of Guangdong Province (2022A1515011460, 2021ZDJS044, 2021B1212040015, XS202008, 2019KZDXM013).

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Authors and Affiliations

  1. School of Mathematics and Statistics, Hanshan Normal University, Chaozhou, 521041, Guangdong, China

    Gang Xiao & Xiaopeng Yang

  2. Department of Mathematics, University of Kotli, Kotli, 11100, Azad Jammu and Kashmir, Pakistan

    Khizar Hayat

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  1. Gang Xiao
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  2. Khizar Hayat
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  3. Xiaopeng Yang
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Correspondence to Xiaopeng Yang.

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Xiao, G., Hayat, K. & Yang, X. Evaluation and its derived classification in a Server-to-Client architecture based on the fuzzy relation inequality. Fuzzy Optim Decis Making 22, 213–245 (2023). https://doi.org/10.1007/s10700-022-09390-3

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