Class-based Rough Approximation with Dominance Principle

Dominance-based Rough Set Approach (DRSA), as the extension of Pawlak's Rough Set theory, is effective and fundamentally important in Multiple Criteria Decision Analysis (MCDA). In previous DRSA models, the definitions of the upper and lower approximations are preserving the class unions rather than the singleton class. In this paper, we propose a new Class-based Rough Approximation with respect to a series of previous DRSA models, including Classical DRSA model, VC-DRSA model and VP-DRSA model. In addition, the new class-based reducts are investigated.Comment: Submitted to IEEE-GrC201

Introduction

Zadanie pt. „Digitalizacja i udostępnienie w Cyfrowym Repozytorium Uniwersytetu Łódzkiego kolekcji czasopism naukowych wydawanych przez Uniwersytet Łódzki” nr 885/P-DUN/2014 zostało dofinansowane ze środków MNiSW w ramach działalności upowszechniającej naukę

Dominance-based Rough Set Approach, basic ideas and main trends

Dominance-based Rough Approach (DRSA) has been proposed as a machine learning and knowledge discovery methodology to handle Multiple Criteria Decision Aiding (MCDA). Due to its capacity of asking the decision maker (DM) for simple preference information and supplying easily understandable and explainable recommendations, DRSA gained much interest during the years and it is now one of the most appreciated MCDA approaches. In fact, it has been applied also beyond MCDA domain, as a general knowledge discovery and data mining methodology for the analysis of monotonic (and also non-monotonic) data. In this contribution, we recall the basic principles and the main concepts of DRSA, with a general overview of its developments and software. We present also a historical reconstruction of the genesis of the methodology, with a specific focus on the contribution of Roman S{\l}owi\'nski.Comment: This research was partially supported by TAILOR, a project funded by European Union (EU) Horizon 2020 research and innovation programme under GA No 952215. This submission is a preprint of a book chapter accepted by Springer, with very few minor differences of just technical natur

Azimuthal Spin Asymmetries of Pion Electroproduction

Azimuthal spin asymmetries, both for charged and neutral pion production in semi-inclusive deep inelastic scattering of unpolarized charged lepton beams on longitudinally and transversely polarized nucleon targets, are analyzed and calculated. Various assumptions and approximations in the quark distributions and fragmentation functions often used in these calculations are studied in detail. It is found that different approaches to the distribution and fragmentation functions may lead to quite different predictions on the azimuthal asymmetries measured in the HERMES experiments, thus their effects should be taken into account before using the available data as a measurement of quark transversity distributions. It is also found that the unfavored quark to pion fragmentation functions must be taken into account for $\pi^-$ production from a proton target, although they can be neglected for $\pi^+$ and $\pi^0$ production. Pion production from a proton target is suitable to study the $u$ quark transversity distribution, whereas a combination of pion production from both proton and neutron targets can measure the flavor structure of quark transversity distributions.Comment: 31 latex pages, 13 figure, to appear in PR

Organic beef and sheep production in the uplands

The organic unit at ADAS Redesdale was established to evaluate the physical and financial implications of converting a progressive hill/upland unit to an organic system. Conversion of 400 ha, 600 breeding ewes (in 3 flocks) and 35 suckler cows was completed in 1993. One organic flock (Organic Dipper ) was managed as a direct comparison with a conventionally managed system (Conventional Dipper). During the early years following conversion, an organic system was developed which, financially, enabled the organic unit to compete favourably with a comparable conventional system. This was on the basis of maintaining similar stocking rates, and pushing the organic system towards maximum output. As the experiment progressed, it became increasingly clear that a different balance of farming and environmental objectives were required if the broader ecological and ethical objectives of organic farming were to be better met. Stocking rate reductions had been made in two of the organically managed flocks (Cairn and Burnhead) in 1995. On the basis of the divergence in flock and individual animal performance, and following recommendations by the Project Steering Committee, sheep stocking rates were reduced by 25% on the Organic Dipper flock from November 2000. From mating in November 2001, breeding ewe numbers on the Burnhead flock were reduced by a further 45% in line with Countryside Stewardship prescriptions. The overall objective of the study was to compare the long-term performance of organic and conventional hill and upland systems. The project was funded as a one-year extension, pending a review of DEFRA’s organic research programme. The 2000/01 production year covered in this report, represented the eighth year under full organic production, and coincided with the redirection of management on the unit towards better integration with agri-environmental objectives. Data were collected on physical and financial performance, animal health and welfare, and market performance. However, the outbreak of foot and mouth disease in February 2001, forced management changes, which significantly affected the systems comparison. Absolute results therefore need to be viewed against this background. Eight commercial organic farms were costed to provide information on physical and financial performance (related to 2000 born lamb and calf crops) in support of the main study. Stocking rates varied from 0.6 to 1.6 grazing livestock units (GLU) per adjusted hectare. Across the sample of farms, the effect of replacing HLCA (Hill Farming Compensatory Allowance) with HFA (Hill Farming Allowance) in 2000 was generally neutral, but tended to favour more extensive systems. Performance of sheep and cattle were within expected limits for hill and upland production. Farm output (£ per adjusted hectare) was £770, £407, and £592 for linked farms, Newcastle University and IRS FBS costed farms respectively. Whole farm gross margin averaged £587/adj. ha (range £265 – £628), representing extensive and value added production systems respectively. Fixed costs ranged from £332 - £498, compared with fixed costs of £184 and £337 for Newcastle and IRS respectively. Based on the identical sample of five farms, average Net Farm Income (NFI) was £46/adj. ha higher in 2000 than in the previous year. On all but one farm, NFI was equal or lower than the value of manual labour from the farmer and his spouse, resulting in a negative Management and Investment Income. It is difficult to draw precise conclusions on the performance of the organic unit during 2001, given the disruption to management caused by FMD. However, the relative physical performance of organic and conventional systems was broadly in line with previous years. Choice of stocking level and the availability of market premia for organic stock will have a profound effect on animal performance and economic return. Good levels of technical performance are increasingly important, as the price differentials between organic and conventional beef and lamb are eroded. Added value strategies such as direct selling, can significantly boost returns, but are not universally applicable. To generate significant ecological improvements a much more proactive management approach is required. Information from the linked farm study shows that organic farmers are generally willing to spend money on conservation projects. However, in order to make this investment a level of underlying profitability is required. The linked farm study also shows that once conversion aid payments are no longer payable, only a minority of organic hill/upland beef and sheep farms make a significant profit. With profitability increasingly fragile, and organic beef imports running at approximately 35%, any major changes in the organic standards which increase the costs of production could have a disproportionate effect