Evaluation of Deep Learning Recommendation System Based on Group Consensus Algorithm

doi:10.3778/j.issn.1002-8331.2111-0245

Abstract

Abstract: With respect to the problems that the consensus level of expert group is not high in the process of group decision-making（GDM）, a GDM algorithm based on minimizing adjustment cost is constructed. Firstly, the consistency-consensus measures are defined at three levels to measure the consistency and consensus levels of fuzzy judgment matrix. Secondly, a consensus adjustment feedback mechanism based on the minimum adjustment cost is established to identify decision makers and preference values that need to adjust consensus level. Then, an optimization model with the objective function of minimizing the total cost of consensus adjustment is established to calculate the optimal adjustment parameters and the upper bound of consensus threshold for each decision-maker. Finally, a GDM algorithm based on minimizing adjustment cost is designed and its convergence is verified. The optimization experiment of deep learning recommendation system shows that the proposed GDM algorithm is more effective in terms of cost and efficiency.

Key words: group decision-making, fuzzy judgment matrix, group consensus adjustment algorithm, minimize cost

摘要： 针对群决策过程中专家群体共识水平不高的问题，构建一种基于调整成本最小化的群决策算法。该算法在三个层面定义一致性-共识性测度，用于衡量模糊判断矩阵的一致性和共识性水平；建立基于最小调整成本的共识调整反馈机制来识别需要调整的决策者和偏好值；建立以共识调整总成本最小为目标函数的最优化模型计算每个决策者的最优调整参数和共识阈值上界；设计基于调整成本最小化的群决策算法，并验证其收敛性。通过深度学习推荐系统的优选实验表明，构建的群决策算法在成本和效率方面更有效。

关键词: 群决策, 模糊判断矩阵, 群体共识调整算法, 最小化成本

LI Chuzhen, WU Xinling, YU Yuwen. Evaluation of Deep Learning Recommendation System Based on Group Consensus Algorithm[J]. Computer Engineering and Applications, 2022, 58(21): 142-148.

李楚贞, 吴新玲, 余育文. 基于群体共识算法的深度学习推荐系统评价[J]. 计算机工程与应用, 2022, 58(21): 142-148.

References

[1] 陈雪娟.犹豫模糊群共识实现算法及其数据系统优选[J].计算机工程与应用，2021，57（11）：128-134.
CHEN X J.Hesitant fuzzy group consensus reaching algorithm and its application to select data system[J].Computer Engineering and Applications，2021，57（11）：128-134.
[2] PANTELI A，BOUTSINAS B.Improvement of similarity-diversity trade-off in recommender systems based on a facility location model[J].Neural Computing and Applications，2021，5：1-13.
[3] KARCZMAREK P，PEDRYCZ W，KIERSZTYN A.Fuzzy analytic hierarchy process in a graphical approach[J].Group Decision and Negotiation，2021，30（3）：463-481.
[4] WU J，ZHAO Z W，SUN Q，et al.A maximum self-esteem degree based feedback mechanism for group consensus reaching with the distributed linguistic trust propagation in social network[J].Information Fusion，2020，67：80-93.
[5] PALOMARES I，MARTINEZ L，HERRERA F.A consensus model to detect and manage noncooperative behaviors in large-scale group decision making[J].IEEE Transactions on Fuzzy Systems，2014，22（3）：516-530.
[6] GONG Z W，WANG H，GUO W W，et al.Measuring trust in social networks based on linear uncertainty theory[J].Information Sciences，2020，508：154-172.
[7] WU Q，LIU X W，QIN J D，et al.Multi-criteria group decision-making for portfolio allocation with consensus reaching process under interval type-2 fuzzy environment[J].Information Sciences，2021，570：668-688.
[8] GONG Z W，ZHANG H H，JEFFREY F，et al.Two consensus models based on the minimum cost and maximum return regarding either all individuals or one individual[J].European Journal of Operational Research，2015，240（1）：183-192.
[9] GONG Z W，XU X X，ZHANG H H，et al.The consensus models with interval preference opinions and their economic interpretation[J].Omega，2015，55：81-90.
[10] BEN-ARIEH D，EASTON T，EVANS B，et al.Minimum cost consensus with quadratic cost functions[J].IEEE Transactions on Systems，Man，and Cybernetics，Part A：Systems and Humans，2009，39（1）：210-217.
[11] DONG Y C，CHEN X，HERRERA F.Minimizing adjusted simple terms in the consensus reaching process with hesitant linguistic assessments in group decision making[J].Information Sciences，2015，297：95-117.
[12] XUE M，FU C，YANG S L.Dynamic expert reliability based feedback mechanism in consensus reaching process with distributed preference relations[J].Group Decision and Negotiation，2021，30（2）：341-375.
[13] RODRíGUEZ R M，LABELLA L，SESMA-SARA M，et al.A cohesion-driven consensus reaching process for large scale group decision making under a hesitant fuzzy linguistic term sets environment[J].Computers & Industrial Engineering，2021，155（17）：107158.
[14] CHENG D，ZHOU Z，CHENG F，et al.Modeling the minimum cost consensus problem in an asymmetric costs context[J].European Journal of Operational Research，2018，270（3）：1122-1137.
[15] LABELLA L，LIU H，RODRíGUEZ R M，et al.A cost consensus metric for consensus reaching processes based on a comprehensive minimum cost model[J].European Journal of Operational Research，2019，281（2）：316-331.
[16] ZHANG Z M，PEDRYCZ W.Goal programming approaches to managing consistency and consensus for intuitionistic multiplicative preference relations in group decision-making[J].IEEE Transactions on Fuzzy Systems，2018，26（6）：3261-3275.
[17] WU Z B，HUANG S，XU J P.Multi-stage optimization models for individual consistency and group consensus with preference relations[J].European Journal of Operational Research，2019，275（1）：182-194.
[18] 张祖平，沈晓阳.基于深度学习的用户行为推荐方法研究[J].计算机工程与应用，2019，55（4）：142-147.
ZHANG Z P，SHEN X Y.Research on user behavior recommendation method based on deep learning[J].Computer Engineering and Applications，2019，55（4）：142-147.
[19] ZHANG H，DONG Y C，CHICLANA F，et al.Consensus efficiency in group decision making：a comprehensive comparative study and its optimal design[J].European Journal of Operational Research，2019，27（2）：580-598.