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1
Content available remote Duality in Rough Set Theory Based on the Square of Opposition
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EN
In rough set theory, one typically considers pairs of dual entities such as a pair of lower and upper approximations, a pair of indiscernibility and discernibility relations, a pair of sets of core and non-useful attributes, and several more. By adopting a framework known as hypercubes of duality, of which the square of opposition is a special case, this paper investigates the role of duality for interpreting fundamental concepts in rough set analysis. The objective is not to introduce new concepts, but to revisit the existing concepts by casting them in a common framework so that we can obtain more insights into an understanding of these concepts and their relationships. We demonstrate that these concepts can, in fact, be defined and explained in a common framework, although they first appear to be very different and have been studied in somewhat isolated ways.
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Content available remote Two Semantic Issues in a Probabilistic Rough Set Model
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EN
Probabilistic rough set models are quantitative generalizations of the classical and qualitative Pawlak model by considering degrees of overlap between equivalence classes and a set to be approximated. The extensive studies, however, have not sufficiently addressed some semantic issues in a probabilistic rough set model. This paper examines two fundamental semantics-related questions. One is the interpretation and determination of the required parameters, i.e., thresholds on probabilities, for defining the probabilistic lower and upper approximations. The other is the interpretation of rules derived from the probabilistic positive, boundary and negative regions. We show that the two questions can be answered within the framework of a decision-theoretic rough set model. Parameters for defining probabilistic rough sets are interpreted and determined in terms of loss functions based on the well established Bayesian decision procedure. Rules constructed from the three regions are associated with different actions and decisions, which immediately leads to the notion of three-way decision rules. A positive rule makes a decision of acceptance, a negative rule makes a decision of rejection, and a boundary rules makes a decision of deferment. The three-way decisions are, again, interpreted based on the loss functions
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Content available remote A Multifaceted Analysis of Probabilistic Three-way Decisions
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EN
In situations where available information or evidence is incomplete or uncertain, probabilistic two-way decisions/classifications with a single threshold on probabilities for making either an acceptance or a rejection decision may be inappropriate. With the introduction of a third non-commitment option, probabilistic three-way decisions use a pair of thresholds and provide an effective and practical decision-making strategy. This paper presents a multifaceted analysis of probabilistic three-way decisions. By identifying an inadequacy of two-way decisions with respect to controlling the levels of various decision errors, we examine the motivations and advantages of three-way decisions. We present a general framework for computing the required thresholds of a three-way decision model as an optimization problem. We investigate two special cases, one is a decision-theoretic rough set model and the other is an information-theoretic rough set model. Finally, we propose a heuristic algorithm for finding the required thresholds.
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Content available remote Rough Set Approximations in Multi-granulation Fuzzy Approximation Spaces
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EN
Pawlak’s rough set model considers the rough approximations based on an equivalence relation. Multi-granulation rough setmodels concern rough approximations based onmultiple equivalence relations. In this paper, we examine six types of rough set approximations in multi-granulation fuzzy approximation spaces (MGFASs). We construct a partition of the given universe based on a fuzzy binary relation in a fuzzy approximation space. Based on the partition, we introduce a pair of rough set approximations. In a multi-granulation fuzzy approximation space, by a family of fuzzy binary relations, we introduce two kinds of rough set approximations in terms of the union and intersection of fuzzy relations, respectively. A pair of rough set approximations based on the family of fuzzy binary relations is also discussed. Furthermore, the optimistic and pessimistic multigranulation rough set approximations are investigated due to the fuzzy binary relations in aMGFAS. Properties of these rough set approximations are demonstrated. Finally, we examine relationships of them. It is proved that the lower and upper approximations generated by a family of fuzzy binary relations are the pair nearest to the undefinable set, and the pessimistic multi-granulation lower and upper approximations are the pair farthest to the undefinable set.
EN
Formal concept analysis and rough set analysis are two complementary approaches for analyzing data. This paper studies approaches to constructing fuzzy concept lattices based on generalized fuzzy rough approximation operators. For a residual implicator θ satisfying θa, b) = *theta;(1 -b, 1 -a) and its dual σ, a pair of (θ,σ)-fuzzy rough approximation operators is defined. We then propose three kinds of fuzzy operators, and examine some of their basic properties. Thus, three complete fuzzy concept lattices can be produced, for which the properties are analogous to those of the classical concept lattices.
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Sinopachymeridium popovi, a new genus and species of fossil true bugs is described. The new species is reported from the Jiulongshan Formation (Middle Jurassic), in Daohugou Village, Shantou Town, Ningcheng County, Inner Mongolia, China. It clearly belongs to Pachymeridiidae by Sc, R and M diverging at a single point and presence costal fracture. The new genus is most similar to Pachycoridium Popov, 1986, but can be distinguished from the latter by the larger body, rostrum extending to second abdominal sternite, first vein of membrane situated remote from anterior margin of fore wing and fourth and fifth veins forming a merged vein.
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A robust Kalman filter improved with IGG (Institute of Geodesy and Geophysics) scheme is proposed and used to resist the harmful effect of gross error from GPS observation in PPP/INS (precise point positioning/inertial navigation system) tightly coupled positioning. A new robust filter factor is constructed as a three-section function to increase the computational efficiency based on the IGG principle. The results of simulation analysis show that the robust Kalman filter with IGG scheme is able to reduce the filter iteration number and increase efficiency. The effectiveness of new robust filter is demonstrated by a real experiment. The results support our conclusion that the improved robust Kalman filter with IGG scheme used in PPP/INS tightly coupled positioning is able to remove the ill effect of gross error in GPS pseudorange observation. It clearly illustrates that the improved robust Kalman filter is very effective, and all simulated gross errors added to GPS pseudorange observation are successfully detected and modified.
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Content available remote Set-theoretic Approaches to Granular Computing
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EN
A framework is proposed for studying a particular class of set-theoretic approaches to granular computing. A granule is a subset of a universal set, a granular structure is a family of subsets of the universal set, and relationship between granules is given by the standard set-inclusion relation. By imposing different conditions on the family of subsets, we can define several types of granular structures. A number of studies, including rough set analysis, formal concept analysis and knowledge spaces, adopt specific models of granular structures. The proposed framework therefore provides a common ground for unifying these studies. The notion of approximations is examined based on granular structures.
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Content available remote On Modal and Fuzzy Decision Logics Based on Rough Set Theory
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EN
Some modal decision logic languages are proposed for knowledge representation in data mining through the notions of models and satisfiability. The models are collections of data tables consisting of a finite set of objects described by a finite set of attributes. Some relationships may exist between data tables in a collection and the modalities of our languages are interpreted with respect to these relations in Kripkean style semantics. The notion of fuzzy decision logic is also reviewed and combined with the modal decision logic. The combined logic is shown to be useful in the representation of fuzzy sequential patterns.
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The construction and the general performance characteristics of thebaine-selective PVC membrane electrode based on thebaine-reinecke ion-pair complex was described. The electrode exhibited a rapid and Nernstian response (56.7 mV decade') to thebaine hydrochlo-ride concentration ranging from 1 x 10(-6)to I 10(-3)mol dm"1 within pH 1.0-5.0, The lower detection limit was 7.7 x 10(-7)' mol dm(-3). Interfering effects of some foreign substances were reported. The proposed electrode was applied for the direct assay of thebaine hydrochloride content in injections by means of the standard addition method. The results obtained were compared with the determination made by use of high performance liquid chromatography.
PL
Opisano budowę i zbadano charakterystykę elektrody membranowej selektywnej względem tebainy, która zawiera parę je nową: tebaina-sól Reinecke'go w PVC. Elektroda wykazuje nernstowską odpowiedź (56.7 mV dekada(-1) względem chlorowodorku tebainy w zakresie stężeń l x l0(-6) x 10(-3) mol dni(-3) i w zakresie pH 1.0-5.0. Granica wykrywalności wynosi 7.7 x 10(-7) mol dnr'. Wskazano na efekty interferencyjne ze strony niektórych substancji. Elektrodę zasotoswano do bezpośredniego oznaczania chlorowodorku tebainy w zastrzykach, za pomocą metody dodatków. Uzyskane wyniki porównano z wynikami uzyskanymi za pomocą wysokosprawnej chromatografii cieczowej.
EN
Stress-strain mechanical properties of polystyrene foam plastic material were tested under different loading conditions. An empirical constitutive model for describing metal materials was proposed for the polystyrene plastic foam. The static and dynamic tests results show that the ductility and watertightness of the polystyrene plastic foam are significantly improved. At the same time, in order to check its seismic-isolation property, the high-performance foam concrete as filling materials of Galongla tunnel in Tibet was simulated by FEM. The simulated results show that the polystyrene plastic foam can remarkably decrease the stress and the plastic zone in final lining, so it can effectively reduce the seismic damage of the tunnel. Considering the seismic-isolation property and low price of polystyrene plastic foam, it is a good reference for the anti-seismic design of tunnels in high intensity zones.
EN
Cuttings of Vitis vinifera (cultivar Combier) were exposed to seven different zinc (Zn) concentrations (control, 3.5, 7.0, 14.0, 21.0, 28.0, and 35.0 mM) to investigate growth and physiological responses to excess amount of zinc (Zn). The apparent plant growth, as indicated by daily height growth, daily stem diameter variation, and biomass accumulation, was increased by 3.5–7.0 mM surplus Zn addition. Coupled with the increase in plant growth, grape retained low level of leaf Zn concentration, and also retained high level of leaf iron concentration due to increasing translocation of iron (Fe) from root and shoots to leaves. Leaf N and K were increased or found at a constant high level, paralleling with low oxidative pressure and enhanced catalase (CAT) activity. Moreover, plant growth was depressed under high Zn levels (>14.0 mM). Generally excess Zn was stored in the non-sensitive plant parts (roots and shoots), and it caused significant reductions of P, Fe, Mn, Cu in different parts of plant. At the same time, excess Zn caused a pronounced increase in abscisic acid concentration. Our results showed that cultivar Combier is a highly Zn-tolerant grape cultivar and could be used as pioneer plants in metalliferous site and in acidic soil of the tropical and subtropical area.
EN
In this study, the irreversible expansion of TATB cylinder is investigated. No evident variation of the lattice parameters is observed on TATB crystal. The density of TATB powder decreases by only about 0.02% after it suffered from thermal cycling process at the range from -54 C to 74 C, while the density of TATB cylinder decreases by about 1.0%. It is suggested that the density variation of TATB powder has little contribution to the density decrease of TATB cylinder. Therefore, the increasing interstices between TATB powder originated from the thermal cycling should be responsible to the irreversible expansion of TATB cylinder.
EN
Episodes of regional drought are increasing and are frequently associated with increased duration and intensity. However, relatively little is known about effects of long-lasting drought on leaf microscopic structure and physiological metabolism of plants. In this study, we investigated internal water re-distribution and leaf anatomical structure of maize (Zea mays L.) grown under persistently reduced soil water content. Meanwhile, the threshold of soil water content at which maize cannot recover growth vitality after re-watering was determined. Our results showed that during persistent reductions in the field water capacity from 75 to 25 %, plant growth declined, while the water content in maize decreased following the order from the lower to upper leaves and their leaf sheathes to the stem and roots. At 20 % of field water capacity, the volume of bulliform cells declined, accompanied by an inward shrinkage of cell walls. Under field water capacity below 20 %, the number of chloroplasts in bundle-sheath cells decreased, chloroplasts in mesophyll cells deformed from oval to round, concomitant of a near to zero net photosynthetic rate. It was demonstrated that the growth vitality of maize plants could be recovered by rewatering even if field water capacity reduced to 15 %, but not to 10 %.
EN
Suitable reference gene (RGs) is the prerequisite for accurate normalization of real-time quantitative PCR (RT-qPCR) data. However, previous results are diverse in various researches that focused on selecting stable RGs. This study aims at systematically assessing various RGs in plants under salt stress or drought stress by collection of geNorm rankings of genes, data transformation and statistic analysis. Although none of the analyzed genes can guarantee universally stable expressions in plant species under salt stress or drought stress, we found that 18S (18S ribosomal RNA) was generally the least stable gene under salt and drought stress. This gene should not be used as the RG in RT-qPCR. On the contrary, it is least risk to use EF1 for salt stress and TIP41 for drought treatment experiments. We compared the effects of salt and drought stresses on 7 frequently used RGs through paired-samples T test. The expression of Ubiquitin gene under drought stress is much more unstable than that under salt stress. The tested genes belonging to multigene family and having different stability could be one reason of variations in the published studies, which was supported by the analysis of expression profile of Salicornia europaea transcriptome. This is the first systematic assessment quantifying global stability of Rgs across plant species under salt stress and drought stress, which will improve our understanding of RGs and facilitate the future work on RGs selection.
EN
Long term synaptic plasticity underlying learning and memory is believed to require the reversible and dynamic regulation of local protein synthesis, which is dysregulated in fragile x syndrome, the most common form of inherited intellectual disability and autism. Fragile x syndrome is caused by the loss of the Fragile X Mental Retardation, FMRP, an mRNA binding protein involved in the regulation of local protein synthesis at synapses. We elucidated a cooperative role and dynamic interaction between the Fragile X Mental Retardation, FMRP, and microRNAs to repress translation at synapses, which can be rapidly de-repressed in response to activation of gp1 metabotropic glutamate receptors. One FMRP target mRNA of interest has been postsynaptic density-95, PSD-95, which is localized to dendrites and can be translated at synapses in response to activation of mGluRs. More recent work has revealed the role of other microRNAs to regulate FMRP target mRNA translation that appears important for control of neuronal excitability. We speculate that fragile x syndrome may result from synaptic protein imbalances due to dysregulation of microRNAmediated control that is important for control of neuronal development, excitability and plasticity.
EN
This study investigates the effects of bird droppings on mercury pollution levels in soil, specifically on the speciation and total concentration of mercury (Hg) in soil from Tongli Wetland, East China. Thirty soil samples and four bird dropping samples were collected from Tongli Wetland along with fifteen eggshells and five feathers from Heron Branch birds. Results indicated that bird droppings affect local soil’s physic-chemical properties and Hg accumulation. Additionally, heron feathers were found to contain more total mercury (HgT) than their eggshells. Hg concentration in soil that is affected by bird dropping was determined to be 0.194±0.026 mg/kg; concentration in soil without bird droppings was 0.104±0.039 mg/kg. Therefore, HgT concentration in the former exceeded that of the latter (86.54%). Numerical analysis revealed that concentrations of water-soluble (F1), acid-soluble (F2), alkali-soluble (F3), hydrogen peroxide-soluble (F4), and residual mercury (F5) in soil that is affected by bird dropping were higher in soil that isn’t affected by bird droppings. However, concentrations of F1 remained mostly stable. We found a positive correlation between Hg concentrations in soil and excrement and concentrations of total carbon (Ctot), total nitrogen (Ntot), and hydrogen (H), in addition to an exponential proportional relationship between C/N and Hg/C. We concluded that fresh bird droppings in soil may promote mercury enrichment. Furthermore, bird droppings and highly decomposed humus increase soil HgT concentration when they remain in soil for an extended period of time.
EN
The molecular mechanisms involved in leaf color variation were investigated in crabapple. Using the total RNA from the leaves of crabapple ‘Royalty’ as the template, the full cDNA of F3H (Flavanone-3-hydroxylase) gene (1,370 bp) was cloned by reverse transcription polymerase chain reaction and rapid-amplification of cDNA ends. The gene was named as McF3H, containing a 1,092-bp open reading frame encoding a protein of 364 amino acids. Corresponding genomic DNA sequence was 1,983 bp, containing two introns, and all the cleave sites obeyed the GT–AG rule. The expression of McF3H gene following leaf development was determined by real-time quantitative PCR in the leaves of three crabapple varieties, ‘Flame’ (both young and mature leaves are green), ‘Radiant’ (young leaves are orange to red and mature leaves are green) and ‘Royalty’ (both young and mature leaves are red to purple). The results showed that McF3H gene was expressed in both red and green leaves. But the expression levels of McF3H gene in ever-red-leafed ‘Royalty’ were significantly higher than in evergreen-leafed ‘Flame’ at all stages of leaf development. The transcript level in ‘Radiant’ showed the similar temporal pattern to the variation of leaf color following its leaf development. Also, the anthocyanin accumulation levels in crabapple leaves were consistent with the color variation of leaves. These results suggest that McF3H gene is one of the important structure genes related to anthocyanin accumulation in crabapple leaves and the red coloration of crabapple leaf is associated with high expression level of this gene.
EN
In addition to contributing to the coloration of plant organs and their defense against herbivores, the consumption of anthocyanins in the human diet has a number of health benefits. Crabapple (Malus sp.) represents a valuable experimental model system to research the mechanisms and regulation of anthocyanin accumulation, in part due to the often vivid and varied petal and leaf coloration that is exhibited by various cultivars. The enzyme anthocyanidin synthase (ANS) plays a pivotal role in anthocyanin biosynthesis; however, the relationship between ANS expression and petal pigmentation has yet to be established in crabapple. To illuminate the mechanism of anthocyanin accumulation in crabapple petals, we evaluated the expression of two crabapple ANS allelic genes (McANS-1 and McANS-2) and the levels of anthocyanins in petals from cultivars with dark red (‘Royalty’) and white (‘Flame’) petals, as well as another (‘Radiant’) whose petals have an intermediate pink color. We determined that the expression of McANS in the three cultivars correlated with the variation of anthocyanin accumulation during different petal developmental stages. Furthermore, transgenic tobacco plants constitutively overexpressing one of the two McANS genes, McANS-1, had showed elevated anthocyanin accumulation and a deeper red coloration in their petals than those from untransformed control lines. In conclusion, we propose that McANS are responsible for anthocyanin accumulation during petal coloration in different crabapple cultivars.
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