Maximum number of line faults in a P2P network system based on the addition-min fuzzy relation inequalities

Considering the application background on P2P network system, we investigate the max-product fuzzy relation equation with interval-valued parameter in this paper. Order relation on the set of all interval-valued numbers plays key role in the construction and resolution of the interval-valued-parameter fuzzy relation equation (IPFRE). The basic operations supremum (a∨b) and infimum (a∧b) in the IPFRE should be defined depending on the order relation. A novel total order is introduced for establishing the IPFRE. We also discuss some properties of the IPFRE system, including the consistency and structure of the complete solution set. Concepts of close index set and open index set are defined, helping us to construct the resolution method of the IPFRE system. We further provide a detailed algorithm for obtaining the complete solution set. Besides, the solution set is compared to that of the classical max-T fuzzy relation equations system.

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Variable Substitution Method for Solving Single-Variable Term Fuzzy Relation Geometric Programming Problem and Its Application

International Journal of Uncertainty Fuzziness and Knowledge-Based Systems ◽

10.1142/s0218488519500247 ◽

2019 ◽

Vol 27 (04) ◽

pp. 537-557

Author(s):

Xiao-Peng Yang ◽

Xue-Gang Zhou ◽

Bing-Yuan Cao ◽

Ying-Han Hong

Keyword(s):

Geometric Programming ◽

Fuzzy Relation ◽

Network System ◽

Single Variable ◽

Substitution Method ◽

Peer Network ◽

Convex Problem ◽

Optimization Management ◽

Variable Substitution ◽

Peer To Peer Network

As an extension of the fuzzy relation linear programming, geometric programming with single-variable term subject to max–min fuzzy relation equations is a nonlinear and non-convex problem. To deal with this problem, we develop the variable substitution method to find out all of the optimal solutions (if not unique). The variable substitution method is carried out by the resolution procedures with an illustrative example. In addition, the proposed method is applied to the optimization management in laboratory Peer-to-Peer network system.

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Analysis of threats and security issues evaluation in mobile P2P networks

International Journal of Electrical and Computer Engineering (IJECE) ◽

10.11591/ijece.v10i6.pp6435-6445 ◽

2020 ◽

Vol 10 (6) ◽

pp. 6435

Author(s):

Ali Abdulwahhab Mohammed ◽

Dheyaa Jasim Kadhim

Keyword(s):

System Architecture ◽

Network Architecture ◽

P2p Network ◽

Network System ◽

P2p Networks ◽

Security Issues ◽

Network Bandwidth ◽

Mobile P2p ◽

Mobile P2p Network ◽

Central Coordination

Technically, mobile P2P network system architecture can consider as a distributed architecture system (like a community), where the nodes or users can share all or some of their own software and hardware resources such as (applications store, processing time, storage, network bandwidth) with the other nodes (users) through Internet, and these resources can be accessible directly by the nodes in that system without the need of a central coordination node. The main structure of our proposed network architecture is that all the nodes are symmetric in their functions. In this work, the security issues of mobile P2P network system architecture such as (web threats, attacks and encryption) will be discussed deeply and then we propose different approaches and we analysis and evaluation of these mobile P2P network security issues and submit some proposal solutions to resolve the related problems with threats and other different attacks since these threats and attacks will be serious issue as networks are growing up especially with mobility attribute in current P2P networks.

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