Table of Content

  

20 July 2022
Volume 57 Issue 7

Separated fuzzy set (A^(-overF),A^F) and the intelligent fusion of fuzzy information

SHI Kai-quan, LI Shou-wei

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2022, 57(7):  1-13.  doi:10.6040/j.issn.1671-9352.0.2022.132

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By using internal-separated universe, outer-separated universe and separated universe, L.A.Zadeh fuzzy set is improved, and a separated fuzzy set composed of internal-separated fuzzy set and outer-separated fuzzy set is proposed. Based on the separated fuzzy set, the generation of fuzzy information fusion and its attribute relationship are given. The information screening and its criteria in fuzzy information fusion are given, and then the outer-fusion intelligent retrieval algorithm of fuzzy information is proposed. By using these theoretical results, the application of fuzzy information outer-fusion in intelligent retrieval of disease classification is given.

On path(signless)Laplacian spectral radius and energy of graphs

LU Peng-li, LUAN Rui, GUO Yu-hong

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2022, 57(7):  14-21.  doi:10.6040/j.issn.1671-9352.0.2021.321

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Given a graph G with vertex set V(G)={v1,v2,…,v_n}, a path matrix associate to G is P(G)=(p_ij)_n×n, p_ij is the maximum number of interior vertex disjoint paths. The path Laplacian matrix and path signless Laplacian matrix of a connected graph is defined and the bounds of the spectral radius and energy is obtained.

Existence of solutions for boundary value problems of a class of nonlinear Caputo type sequential fractional differential equations on star graphs

LI Ning, GU Hai-bo, MA Li-na

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2022, 57(7):  22-34.  doi:10.6040/j.issn.1671-9352.0.2020.668

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The existence of solutions for a class of nonlinear Caputo type sequential fractional differential equations BVP on a star graph consisting of three nodes and two edges is investigated. By using variable transformation, the system of fractional differential equations, with mixed boundary conditions and the different domain, is transformed into an equivalent system of differential equations with the same boundary conditions and domain. Then, by using Schaefer fixed point theory and Schauder fixed point theory, a sufficient condition is obtained for the existence of solutions to boundary value problems, and by means of Banach fixed point theory, a sufficient condition is obtained for the existence and uniqueness of solutions to boundary value problems.

Positive solutions of predator-prey model with spatial heterogeneity and hunting cooperation

HAN Zhuo-ru, LI Shan-bing

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2022, 57(7):  35-42.  doi:10.6040/j.issn.1671-9352.0.2021.609

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The steady-state problem of a predator-prey model with spatial heterogeneity and hunting cooperation is investigated. Firstly, by using the Riesz-Schauder theory, the local asymptotic stability of trivial solution and semi-trivial solutions is obtained. By means of the comparison principle, the global asymptotic stability of trivial solution and semi-trivial solutions is derived. Finally, the sufficient conditions for the existence of positive solutions are established by the fixed point index theory.

Modeling for dissolved gases concentration based on mutual information and kernel entropy component analysis

LI Ying, ZHANG Guo-lin

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2022, 57(7):  43-52.  doi:10.6040/j.issn.1671-9352.4.2021.247

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Aiming at the testing problem of dissolved gases concentration in transformer oil, a new prediction modeling method based on mutual information(MI)and kernel entropy component analysis(KECA)was proposed. Firstly, normalized mutual information feature selection method was used to select input variables and the phase reconstruction space were reconstructed for them. Then, feature extraction was carried out in the phase reconstruction space by using KECA, meanwhile, the kernel parameter of KECA was determined by Renyi information entropy. At last, kernel entropy components were extracted by KECA and then they were used as the inputs of extreme learning machine(ELM)which was employed to forecast dissolved gases concentration. Experimental results show that compared with grey model, support vector machine(SVM)and BP neural network(BPNN), the proposed model can sufficiently utilize the dissolved gases information, thus it has a better prediction and generalization.

Label distribution learning by fusion of local correlation of labels

RONG Bin-yuan, XU Yuan-yuan, LÜ Ya-lan, ZHANG Heng-ru

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2022, 57(7):  53-64.  doi:10.6040/j.issn.1671-9352.4.2021.196

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This paper proposes an LDL algorithm, which integrates the local correlation of labels. The algorithm is divided into three stages. In the initial prediction stage, this paper constructs a multi-layer neural network, which takes the original features as the input and the initial prediction label distribution as the outputs. In the local correction stage, first we use k-means to obtain the local information described by different clusters. Then, for each class, we calculate the corresponding covariance matrix, and finally use this matrix to correct the initial predicted label distribution to obtain the corrected label distribution. In the label fusion stage, the corrected label distribution is weighted, and then fused with the initial predicted label distribution to obtain the final predicted distribution. Compared with night popular LDL algorithms, experiments were conducted on eight different public datasets. The results show that our algorithm can better describe the local correlation of labels, and ranks higher on mainstream evaluation measures.

Cross-modal information retrieval method based on multi-view symmetric nonnegative matrix factorization

LIU Li-fang, MA Yuan-yuan

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2022, 57(7):  65-72.  doi:10.6040/j.issn.1671-9352.1.2021.032

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This article summarizes the strategies and core issues in cross-modal information retrieval and analyses the advantages of multi-view symmetric nonnegative matrix factorization for cross-modal retrieval in terms of improving retrieval effect. A new cross-modal retrieval framework based on symmetric non-negative matrix factorization is proposed. Firstly, a consistent subspace representation is learned from the Wikipedia and Pascal datasets. Then, based on the subspace, a method of mapping real-time samples into subspaces is designed. Compared with the canonical correlation analysis, semantic matching and partial least squares regression, the proposed method has the best performance in terms of MAP and PR curves. The results demonstrate that the proposed algorithm has the potential ability in the task of cross-modal information retrieval.

Trust management optimization of wireless sensor network nodes based on blockchain using equilibrium evaluation algorithm

LIU Yun, SONG Kai, CHEN Lu-yao, ZHU Peng-jun

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2022, 57(7):  73-84.  doi:10.6040/j.issn.1671-9352.0.2021.453

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An equilibrium evaluation algorithm to enhance the trust relationship between beacon nodes by eliminating malicious nodes in wireless sensor networks in the blockchain is proposed. The sensor node information is first packaged to generate a block according to the node number order, behavior, feedback and data-based trust value, the three trust values are weighted to obtain the balanced trust value of each beacon node, broadcast to the base station; in the end, the beacon nodes with small trust values are regarded as malicious nodes and removed from the blockchain. Simulation results show that the equilibrium evaluation algorithm has been well improved in terms of average positioning error, detection accuracy and average energy consumption, while ensuring the safety and traceability of the trust evaluation management process.

Malicious evasion sample detection based on dynamic API call sequence and machine learning

ZHANG Jie, PENG Guo-jun, YANG Xiu-zhang

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2022, 57(7):  85-93.  doi:10.6040/j.issn.1671-9352.2.2021.117

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This paper analyzes the evasion behavior of malicious evasion samples, summarizes the commonly used evasion API function set of malicious evasion samples, and proposes a malicious evasion sample detection method based on dynamic API call sequence and machine learning. In the feature engineering processing stage, this paper proposes an evasion API function weight measurement algorithm and optimizes word frequency processing. At the same time, our method enhances the eigenvector value of the evasion API function, and the accuracy of the method in this paper can reach 95.09% in detecting malicious evasion samples.

Searching for Boolean functions with DPA-resistance and high nonlinearity in the rotation symmetric class

SHI Yu, ZHENG Dong, ZHAO Qing-lan, LI Lu-yang, WANG Yong

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2022, 57(7):  94-102.  doi:10.6040/j.issn.1671-9352.2.2021.064

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An efficient search algorithm is proposed to find Boolean functions with differential power analysis(DPA)resistance and high nonlinearity in the class of rotation symmetric Boolean functions(RSBFs). Using the search algorithm designed in this paper, we get functions with better properties than the existing results in the classes of 9-variable and 10-variable RSBFs. In addition, an exhaustive algorithm of 8-variable RSBFs based on multi-core parallel technology is proposed and for the first time all 8-variable RSBFs with nonlinearity not less than 112 are found and their transparency order and algebraic degree are analyzed. These functions can be utilized to construct S-Boxes with good cryptographic properties.

Target-oriented bi-attribute user equilibrium with travelers perception errors

JI Xiang-feng, ZHANG Yan, AO Xiao-yu

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2022, 57(7):  103-110.  doi:10.6040/j.issn.1671-9352.0.2021.147

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A target-oriented route utility model is proposed to study travelers route choice behavior with their perception errors on the stochastic traffic network, where travel time and travel time reliability are considered, and travelers utility is determined by the targets that achieved. There are three characteristics of this new model. The first one is that after incorporating travelers perception errors, perceived travel time and perceived travel time reliability are obtained; the second one is that stochastic correlation between the perceived values are captured by the copula with their marginal distributions; the third one is that travelers specify one target for each attribute, and the target interaction, namely the complementarity relationship between the targets, is modeled. Furthermore, a target-oriented bi-attribute user equilibrium model is proposed based on this new route choice model, which is formulated as a variational inequality problem and solved with method of successive average. Finally, the numerical results show the performance of different traveling behavior and validate the solution algorithm, and the sensitivity analysis with respect to the related parameters is also performed. The proposed model extends the scope of studies on travelers route choice behavior, which can provide scientific support to the design and implementation of policies.