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Fuzzy Optimization and Decision Making

Erschienen in:

30.07.2021

Min–max programming problem with constraints of addition-min-product fuzzy relation inequalities

verfasst von: Jianjun Qiu, Xiaopeng Yang

Erschienen in: Fuzzy Optimization and Decision Making | Ausgabe 2/2022

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Abstract

In this paper, we study a new type of fuzzy relation system called fuzzy relational inequalities with addition-min-product composition operations to model a peer-to-peer (P2P) file sharing system. Some properties of this addition-min-product system are investigated. We then characterize the structure of the solution set. Furthermore, to reduce the network congestion and improve the stability of data transmission, a min–max programming problem with constraints of addition-min-product fuzzy relation inequalities is established and investigated. We divide this min–max programming problem into several subproblems with the constraint of a single equation. Based on the optimal solutions to these subproblems, we can solve the original fuzzy relation min–max programming problem. Two algorithms, with polynomial computational complexity, are developed to search for an optimal solution to our studied problem. The validity of the algorithms is examined through a numerical example.

Vorheriger Artikel Multiple attribute decision-making method based on projection model for dual hesitant fuzzy set

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Titel: Min–max programming problem with constraints of addition-min-product fuzzy relation inequalities
verfasst von: Jianjun Qiu
Xiaopeng Yang
Publikationsdatum: 30.07.2021
Verlag: Springer US
Erschienen in: Fuzzy Optimization and Decision Making / Ausgabe 2/2022
Print ISSN: 1568-4539
Elektronische ISSN: 1573-2908
DOI: https://doi.org/10.1007/s10700-021-09368-7

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