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On FP-filters and FPD-filters of lattice implication algebra
Jiajun Lai,Yang Xu,Zhiyan Chang 한국전산응용수학회 2008 Journal of applied mathematics & informatics Vol.26 No.3-4
In this paper, we consider the fuzzification of prime filters in Lattice Implication Algebras (briefly, LIAs), and introduce the concepts of fuzzy prime filters (briefly, FP-filters), and we also studied the properties of FP-filters. Finally, we investigate the properties of fuzzy prime dual filters (briefly, FPD-filters) in LIA, and the relations of them are investigated.
Bounded Traveling Wave Solution of a Nonlinear Equation
Jiang Tao,Yang Zhiyan,Liu Zhengrong 경북대학교 자연과학대학 수학과 2003 Kyungpook mathematical journal Vol.43 No.1
Bifurcation method of dynamical systems is applied to investigate traveling waves of nonlinear equation[a(1 + bu)u ]ux + uxxx = 0with =a,= > 0. Parameter space is partitioned. Types of bounded traveling waves are shown, that is, the equation has three types of bounded traveling waves, solitary waves,periodic waves and domain wall waves. When integral constant is zero, explicit expressions of bounded traveling wave solutions are obtained.
Tang, Jianhong,Zhang, Zhiyan,Yang, Bin,Guo, Yuanmei,Ai, Huashui,Long, Yi,Su, Ying,Cui, Leilei,Zhou, Liyu,Wang, Xiaopeng,Zhang, Hui,Wang, Chengbin,Ren, Jun,Huang, Lusheng,Ding, Nengshui Asian Australasian Association of Animal Productio 2017 Animal Bioscience Vol.30 No.1
Objective: Three genome-wide association studies (GWAS) and a meta-analysis of GWAS were conducted to explore the genetic mechanisms underlying variation in pig teat number. Methods: We performed three GWAS and a meta-analysis for teat number on three pig populations, including a White Duroc${\times}$Erhualian $F_2$ resource population (n = 1,743), a Chinese Erhualian pig population (n = 320) and a Chinese Sutai pig population (n = 383). Results: We detected 24 single nucleotide polymorphisms (SNPs) that surpassed the genome-wide significant level on Sus Scrofa chromosomes (SSC) 1, 7, and 12 in the $F_2$ resource population, corresponding to four loci for pig teat number. We highlighted vertnin (VRTN) and lysine demethylase 6B (KDM6B) as two interesting candidate genes at the loci on SSC7 and SSC12. No significant associated SNPs were identified in the meta-analysis of GWAS. Conclusion: The results verified the complex genetic architecture of pig teat number. The causative variants for teat number may be different in the three populations
Guo, Tianfu,Gao, Jun,Yang, Bin,Yan, Guorong,Xiao, Shijun,Zhang, Zhiyan,Huang, Lusheng Asian Australasian Association of Animal Productio 2020 Animal Bioscience Vol.33 No.5
Objective: Muscle fiber types, numbers and area are crucial aspects associated with meat production and quality. However, there are few studies of pig muscle fibre traits in terms of the detection power, false discovery rate and confidence interval precision of whole-genome quantitative trait loci (QTL). We had previously performed genome scanning for muscle fibre traits using 183 microsatellites and detected 8 significant QTLs in a White Duroc×Erhualian F<sub>2</sub> population. The confidence intervals of these QTLs ranged between 11 and 127 centimorgan (cM), which contained hundreds of genes and hampered the identification of QTLs. A whole-genome sequence imputation of the population was used for fine mapping in this study. Methods: A whole-genome sequences association study was performed in the F<sub>2</sub> population. Genotyping was performed for 1,020 individuals (19 F<sub>0</sub>, 68 F<sub>1</sub>, and 933 F<sub>2</sub>). The whole-genome variants were imputed and 21,624,800 single nucleotide polymorphisms (SNPs) were identified and examined for associations to 11 longissimus dorsi muscle fiber traits. Results: A total of 3,201 significant SNPs comprising 7 novel QTLs showing associations with the relative area of fiber type I (I_RA), the fiber number per square centimeter (FN) and the total fiber number (TFN). Moreover, one QTL on pig chromosome 14 was found to affect both FN and TFN. Furthermore, four plausible candidate genes associated with FN (kinase non-catalytic C-lobe domain containing [KNDC1]), TFN (KNDC1), and I_RA (solute carrier family 36 member 4, contactin associated protein like 5, and glutamate metabotropic receptor 8) were identified. Conclusion: An efficient and powerful imputation-based association approach was utilized to identify genes potentially associated with muscle fiber traits. These identified genes and SNPs could be explored to improve meat production and quality via marker-assisted selection in pigs.
ON FP-FILTERS AND FPD-FILTERS OF LATTICE IMPLICATION ALGEBRA
Lai, Jiajun,Xu, Yang,Chang, Zhiyan Korean Society of Computational and Applied Mathem 2008 Journal of applied mathematics & informatics Vol.26 No.3-4
In this paper, we consider the fuzzification of prime filters in Lattice Implication Algebras (briefly, LIAs), and introduce the concepts of fuzzy prime filters (briefly, FP-filters), and we also studied the properties of FP-filters. Finally, we investigate the properties of fuzzy prime dual filters (briefly, FPD-filters) in LIA, and the relations of them are investigated.