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For the existing problems in the design of mechanical products, based on the theory of fuzzy mathematics, the paper constructs fuzzy comprehensive evaluation model to comprehensively evaluate the existing problems. Then, by the obtained results, the model has a high degree of subjectivity. So, the paper combines data envelopment analysis with fuzzy comprehensive evaluation model, and establishes evaluation model of fuzzy data envelopment analysis. Ultimately, the paper improves the reliable and scientific evaluation model.

To make utility function reflect the comprehensive utility of things and decision, and consider the uncertainty in the decision analysis and things acknowledge, a deeply analysis of the set pair character of utility function is carried on from three aspects: risk aversion, risk neutral and risk pursuit, and then the set pair connection function of risk preference was constructed. Finally, the posture of preference connection degree was discussed.

This article focuses on heat conduction problems in the process of steel industry. Modeling the direct problems of heat transfer, establish heat conduction and thermal radiation model. Model discretization method are used, discussion process from one dimension to two. We give the difference schemes, and the numerical example. Through the results we compare differences between one and two dimensional models, and the impact to the results of the two heat transfer mode.

In the College, performance evaluation system is directly related to the harmonious development of the school. Taking into account the factors in the evaluation system is fuzzy, so this paper uses fuzzy comprehensive evaluation model. But the model is too subjective, so this paper combines neural network and data envelopment analysis method, which ensures that fuzzy comprehensive evaluation model is reasonable and scientific, and good school development and teacher self-interest. The performance assessment process, not only enables the combination of qualitative and quantitative analysis, but also fair and reasonably reflect the achievements of teachers, while this method is easy to use, wide application, and can be well applied in practice.

The-metric is an important class of Finsler metrics including Randers metric as the simplest class, and many people research the Randers metrics. In this paper, we study a new class of Finsler metrics in the form ,Whereis a Riemannian metric, is a 1-form. Bengling Li had introduced the projective flat of the-Metric F. We find another method which is about flag curvature to prove the projective flat conditions of this kind of-metric.

Combined set pair analysis and knowledge granularity theory, the author puts forward set pair granularity space, and extended rough logic of Pawlak and the decision logic to set pair granularity space, Studied the formula and some special properties of set pair granularity space, thereby expand the application scope of the logic theory.

To find if human soluble tumor necrosis factor receptor II (p75) fused IgG Fc protein (sTNFR II-IgG Fc) could be expressed in Pichia pastoris with an active dimmer form and characterize its N-linked oligosaccharides.Two gene fragment, human sTNFR II and IgGFc, were got by RT-PCR from leucocytes stimulated with LPS. And the chimeric gene sTNFR II-IgG Fc achieved through gene splicing by over lap extension (SOE) method was cloned into pPIC9 and transformed into methanotropic yeast Pichia pastoris. The fusion protein purified by Protein A affinity column was analyzed with SDS-PAGE electrophoresis under reducing or non-reducing conditions and immunological methods. The anti-TNF-alpha biological activity assay of fusion protein was performed with L929 cells and detected with MTT colorimetry. The N-linked oligosaccharides hydrolyzed from fusion protein were labeled with 8-amino-1, 3, 6-naphthalene trisulfonic acid (ANTS) were analyzed with fluorophore-assisted carbohydrate eletrophoresis (FACE) as well.The recombinant P. pastoris strain that expressed human sTNFR II-IgG Fc fusion protein was constructed. The expression level of fusion protein in 2 L flask reached 2 mg/L. SDS-PAGE and Western blot showed the expressed fusion protein purified by protein was a dimer linked with inter-molecular disulfide linkage. The fusion protein neutralized cytotoxic activity of TNF-alpha to L929 cells, and the EC(50) of the fusion protein to inhibit 5 x 10(4) U/L of TNF-alpha was 170 microg/L. The FACE analysis showed there are 11 to 13 hexoses on each N-linked oligosaccharide.The human sTNFR II-IgG Fc fusion protein is expressed successfully in P. pastoris and it could be a reference for the future expression of other Fc fusion proteins or immunoglobulins in Pichia pastoris.