Weighted minimax programming subject to the max-min fuzzy relation inequalities-Reference-Cited by-同舟云学术

Weighted minimax programming subject to the max-min fuzzy relation inequalities

Published:2024 Issue:6 Volume:9 Page:13624-13641
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Chen Miaoxia¹²,Shibghatullah Abdul Samad¹,Subramaniam Kasthuri¹,Yang Xiaopeng¹³

Affiliation:

1. Institute of Computer Science & Digital Innovation, UCSI University, Kuala Lumpur, 56000, Malaysia

2. Department of Education, Hanshan Normal University, Chaozhou, 521041, China

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

Abstract

<abstract><p>Recently, max-min fuzzy relation inequalities (FRIs) have been used to model a (peer-to-peer) P2P network system. Any feasible scheme in the P2P network system is reflected by a solution of the max-min FRIs. One of the objectives of system managers is to decrease network congestion. To satisfy this objective, we attempt to minimize a weighted minimax function motivated by existing research. As a consequence, we establish a weighted minimax programming model in which the constraint is the max-min FRIs. Our goal in this work is to develop an effective algorithm to obtain the optimal solution of the optimization model. The so-called SCP-based algorithm is proposed to find the optimal solution. A numerical example shows the efficiency of our proposed SCP-based algorithm.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Reference38 articles.

1. J. X. Li, S. J. Yang, Fuzzy relation equalities about the data transmission mechanism in bittorrent-like peer-to-peer file sharing systems, In: Proceedings of the 2012 9th International Conference on Fuzzy Systems and Knowledge Discovery, 2012. Available from: https://ieeexplore.ieee.org/abstract/document/6233956.

2. X. P. Yang, H. T. Lin, X. G. Zhou, B. Y. Cao, Addition-min fuzzy relation inequalities with application in BitTorrent-like Peer-to-Peer file sharing system, Fuzzy Set. Syst., 343 (2018), 126–140. https://doi.org/10.1016/j.fss.2017.04.002

3. S. J. Yang, Some results of the fuzzy relation inequalities with addition-min composition, IEEE T. Fuzzy Syst., 26 (2018), 239–245. https://doi.org/10.1109/TFUZZ.2017.2648864

4. B. Y. Cao, X. P. Yang, X. G. Zhou, Properties of fuzzy relation inequalities with addition-min composition, Adv. Intel. Syst. Comput., 646 (2018), 177–185.

5. M. Li, X. P. Wang, Minimal solutions of fuzzy relation inequalities with addition-min composition and their applications, IEEE T. Fuzzy Syst., 31 (2023), 1665–1675.