The paper presents various methods of solving systems of linear equations under conditions of uncertainty. In a situation when the parameters of such systems cannot be precisely determined with real numbers, they can be represented by interval numbers, fuzzy numbers or ordered fuzzy numbers. Solutions of systems of linear equations with such representations of parameters are shown in the example of Leontief input-output model. It has also been shown that when ordered fuzzy numbers are applied, their additional feature – orientation – can broaden and deepen economic analysis.
Background: Starting from the limitations of different single-method approaches to measuring the organizational efficiency, the paper is focused on covering both the financial and non-financial factors of this concept by combining two methods, namely the Balanced Scorecard (BSC) and Data Envelopment Analysis (DEA).
Objectives: The main goal of the research in the paper is to show that certain deficiencies in the independent application of each method are eliminated by combining these methods.
Methods/Approach: The paper combines two methods, BSC and DEA, to measure the relative efficiency of all branches of a bank in Serbia.
Results: Results confirmed that the combined use of the named methods facilitates measurement of organizational efficiency by using both financial and non-financial indicators.
Conclusions: The paper shows that it is possible to achieve synergetic effects in the evaluation of organizational efficiency in the banking sector if BSC is applied first, to define goals within four perspectives, and then four DEA models are developed to measure efficiency in each perspective.
Objective To investigate the 23 bp and 12 bp insertion/deletion (indel) mutations within the bovine prion protein (PRNP) gene in Chinese dairy cows, and to detect the associations of two indel mutations with BSE susceptibility and milk performance.
Methods Based on bovine PRNP gene sequence, two pairs of primers for testing the 23 bp and 12 bp indel mutations were designed. The PCR amplification and agarose electrophoresis were carried out to distinguish the different genotypes within the mutations. Moreover, based on previous data from other cattle breeds and present genotypic and allelic frequencies of two indels mutations in this study, the corrections between the two indel mutations and BSE susceptibility were tested, as well as the relationships between the mutations and milk performance traits were analyzed in this study based on the statistical analyses.
Results In the analyzed Chinese Holstein population, the frequencies of two “del” alleles in 23 bp and 12 bp indel muations were more frequent. The frequency of haplotype of 23del-12del was higher than those of 23del- 12ins and 23ins-12del. From the estimated r2 and D’ values, two indel polymorphisms were linked strongly in the Holstein population (D’ = 57.5%, r2 = 0.257). Compared with the BSE-affected cattle populations from the reported data, the significant differences of genotypic and allelic frequencies were found among present Holstein and some BSE-affected populations (P < 0.05 or P < 0.01). Similarly, there were significant frequency distribution differences of genotypes and alleles among Chinese Holstein and several previous reported healthy dairy cattle (P < 0.05 or P < 0.01). Moreover, association of genotype and combined genotypes of two indel polymorphisms with milk performance and resistant mastitis traits were analyzed in Holstein population, but no significant differences were found (P > 0.05).
Conclusions These observations revealed that the influence of two indel mutations within the bovine PRNP gene on BSE depended on the breed and they did not affect the milk production traits, which layed the foundation for future selection of resistant animals, and for improving health conditions for dairy breeding against BSE in China.
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