Table of Content

  

20 September 2022
Volume 57 Issue 9

Inverse separated fuzzy set ((-overA)^F,(-overA)^(-overF)) and secure acquisition of fuzzy information

LI Shou-wei, SHI Kai-quan

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2022, 57(9):  1-14.  doi:10.6040/j.issn.1671-9352.0.2022.131

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By using the dynamic characteristics of universe, the inverse separated fuzzy set with attribute disjunctive characteristics is given, which is composed of internal inverse separated fuzzy set and outer inverse separated fuzzy set, and then the fuzzy distance between inverse separated fuzzy sets is also given; Based on the generation of inverse separated fuzzy set, the relationship of fuzzy information is given, and then the intelligent camouflage and intelligent acquisition algorithm of inverse fuzzy information are given; Combined with elliptic curve, the application of internal camouflage security acquisition algorithm of inverse fuzzy information is given in commercial field.

Security analysis and improvement of a certificateless signcryption scheme

YANG Xiao-dong, LI Mei-juan, WANG Zhi-song, CHEN Ai-jia, LI Kai-bin

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2022, 57(9):  15-24.  doi:10.6040/j.issn.1671-9352.0.2021.688

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An improved certificateless signcryption scheme is proposed. It is proved that the new scheme meets the confidentiality and unforgeability in the random oracle model. Compared with similar schemes, the new scheme has higher security and lower computational overhead.

Research and implementation of real-time processing model of high-speed network stream

SU Zi-peng, YUAN Lei, LIU Peng, CHEN Xing-shu, LUO Yong-gang, CHEN Liang-guo

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2022, 57(9):  25-32.  doi:10.6040/j.issn.1671-9352.2.2021.123

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With the increasing scale of network traffic, it becomes more and more difficult to analyze network traffic in real time, efficiently and accurately. Aiming at the problem that the current network flow processing is not real-time enough and it is difficult to adapt to different network traffic scale, this paper studies and implements a real-time network flow restructuring architecture with multiple traffic scenarios,Designed to be able to adapt to different network traffic scenarios during network stream processing, And effectively improve system resource utilization. The architecture is based on DPDK to achieve real-time collection of high-speed traffic, and the process of stream reorganization is divided into stages, to construct operating topologies for different scenarios, and to achieve dynamic allocation of system resources. The system was implemented in a stand-alone environment and tested in a 10Gbps network environment. The results show that the architecture is superior to similar methods in throughput and resource utilization.

Research on multi-granularity hierarchical sequential three-way decision model

QIAN Jin, TANG Da-wei, HONG Cheng-xin

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2022, 57(9):  33-45.  doi:10.6040/j.issn.1671-9352.0.2021.457

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The existing algorithms generate a large number of the decision rules, which is not easy to be understood. Moreover, the descriptions of the rules are too specific, which easily lead to overfitting. To this end, a multi-granularity hierarchical sequential three-way decision model is proposed. Firstly, we generalize the target concept through the concept hierarchy tree and construct the multi-hierarchical decision table. Then, we construct the multi-granularity hierarchical sequential three-way decision model, calculate the three probabilistic regions, and acquire the corresponding the generalized rules from the multi-view and multi-level. Finally, the effectiveness of our model is verified by experiments. This model provides a new perspective for knowledge acquisition and enriches the research of multi-granularity three-way decisions.

American option pricing and simulation under the mixed fractional Heston-CIR model

GUO Jing-jun, WANG Yu-bing, BAI Ya-nan

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2022, 57(9):  46-54.  doi:10.6040/j.issn.1671-9352.0.2020.584

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In order to describe the volatility smile and long dependence of the underlying asset, a mixed fractional Heston-CIR model is constructed to describe the underlying asset price based on the fractional market theory,which replaces the Brownian motion with the linear combination of standard and fractional Brownian motion (H∈(3/4,1)). Secondly, the existence and uniqueness of solutions of stochastic differential equations under this model are discussed as well as the strong convergence of the Eolagian discretization of interest rate equation. Finally, the least-square Monte Carlo algorithm is used to simulate the American option to verify the validity of the model.

Unified pricing and service effort strategy in a dual-channel supply chain with bidirectional free-riding

XU Ming-xing, LI Xue-qin

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2022, 57(9):  55-70.  doi:10.6040/j.issn.1671-9352.0.2021.159

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Considering a dual-channel supply chain where the manufacturer operates the online channel and the traditional retailer operates the offline channel in the uniform price setting, to study the two members optimal unified pricing and service effort strategy with bidirectional free-riding, and investigate how free riding affects the two members pricing, service strategies and profits. The results show that(ⅰ)compared to the situation where there is no free-riding behavior between online and offline channels, the uniform price, service effort level and total profit of the dual channels with bidirectional free-riding are higher.(ⅱ)In the manufacturer-Stackelberg scenario, the uniform price and service effort level will increase with the increasement of the degree of free riding; in the retailer-Stackelberg scenario, the price and service level will increase with the increasement of the degree of offline free riding, but will hardly be affected by online free riding behavior.(ⅲ)If the manufacturer dominates the supply chain, offline free-riding behavior will increase the both members profits, while online free-riding behavior is only increasing the manufacturer profit but decreasing the retailer profit; if the retailer dominate the supply chain, the profits of both manufacturer and retailer can be enhanced by the free riding behavior between the two channels. In general, bidirectional free-riding behavior is beneficial to the dual-channel supply chain, that is, the total profit of the supply chain will increase with the increasement of the degree of free-riding between channels.

Coordination strategy and social responsibility of product service supply chain under retailer provides extended warranty service

KOU Jun, ZHAO Ze-hong, TIAN Shuai-hui

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2022, 57(9):  71-82.  doi:10.6040/j.issn.1671-9352.0.2020.125

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Focused on the social responsibility problem of products service supply chain, a two level product service supply chain model was developed. The following four cases are analyzed and compared: the retailer implement CRS behavior of products or service alone, the manufacturer and the retailer implement CRS behavior together, the manufacturer implement CRS behavior of products or service alone and centralized decision. The conclusions show that the contract can not only achieve cooperation, improve the consumer surplus. Improving product surplus and service residual concern can increase the profits of supply chain enterprises in most cases. Finally, a numerical example is used to analyze the differences between consumers product surplus, consumers service surplus and the total surplus in the four scenarios.

Stability and Turing instability in the diffusive Beddington-DeAngelis-Tanner predator-prey model

SUN Chun-jie, ZHANG Cun-hua

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2022, 57(9):  83-90.  doi:10.6040/j.issn.1671-9352.0.2021.500

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The diffusive Beddington-DeAngelis-Tanner predator-prey model with Neumann boundary condition is considered. By using the linearization method and analyzing the distribution of the eigenvalues of the associated eigenvalue problem on the complex plane, the local asymptotic stability and Turing instability of the unique constant positive equilibrium solution are obtained. The numerical simulation using MATLAB software package is carried out to verify the theoretical results obtained.

Existence and uniqueness of solutions for fractional Langevin type equations with dual anti-periodic boundary conditions involving p-Laplace operator

ZHANG Ji-feng, ZHANG Wei, WEI Hui, NI Jin-bo

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2022, 57(9):  91-100.  doi:10.6040/j.issn.1671-9352.0.2021.501

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A new class of fractional Langevin type equations with anti-periodic boundary conditions is studied. The equations involve p-Laplace operator and the boundary conditions are constituted by two pairs of anti-periodic boundary conditions(dual anti-periodic boundary conditions). The criteria for the existence and uniqueness of solutions are presented by applying the Krasnoselskiis fixed point theorem and Banach contraction mapping principle, and two examples are constructed to support our main results. The results obtained in this study enrich the existing related works.

Blow-up of solutions to a weakly coupled semilinear Moore-Gibson-Thompson system with a nonlinear term of derivative type

OUYANG Bai-ping

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2022, 57(9):  101-110.  doi:10.6040/j.issn.1671-9352.0.2021.509

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Blow-up of solutions to the Cauchy problem for a weakly coupled semilinear Moore-Gibson-Thompson(MGT)system with a nonlinear term of derivative type is investigated. By formulating auxiliary functional and using methods of iteration technique and functional analysis, the nonexistence of global solutions and an upper bound estimate of solutions for the lifespan to the Cauchy problem in the subcritical case is derived.