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The node in the network of enterprise competitiveness is possible to receive service and information with poor quality from the other nodes. Group analysis and evaluation is a common method to solve this problem. The calculation mechanism of enterprise competitiveness based on score feedback has the following disadvantages: unable to distinguish the difference between malicious evaluation and error evaluation given by honest nodes; need second evaluation on the score credibility, which slows down the computing speed of competitiveness; the method of using number to express the node reputation is not natural. In fact, the use of group analysis and evaluation is to determine the relative order of node credibility. Therefore, a kind of reputation based law of logic partial order (RLPO) was proposed. The mathematical modeling and theoretical analysis were conducted based on RLPO and its malicious attacks. Results show that the influence of non-malicious error of RLPO decreases with the exponent of law of logic partial order number; generally, the effect of malicious attack on RLPO decreases with the polynomial of law of logic partial order number; for the collusion attack by design, the malicious attacks were effectively neutralized because RLPO must introduce the right information. Therefore, RLPO no longer feeds back rating information. So there is no group analysis and evaluation problem caused by score feedback (such as no need of second evaluation for the credibility of feedback information).

Group Analysis and Evaluation Method of Enterprise Competitiveness Based on Law of Logic Partial Order