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

Gang Xiao, Khizar Hayat and Xiaopeng Yang ()
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Gang Xiao: Hanshan Normal University
Khizar Hayat: University of Kotli
Xiaopeng Yang: Hanshan Normal University

Fuzzy Optimization and Decision Making, 2023, vol. 22, issue 2, No 3, 213-245

Abstract: 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.

Keywords: Fuzzy relation inequality; Fuzzy relation equation; Max-min composition; Division of the solution set; Evaluation score (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10700-022-09390-3

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