Decision-theoretic rough sets (DTRSs) play a crucial role in risk decision-making problems. With respect to the minimum expected risk, DTRSs deduce the rules of three-way decisions. Considering the ...new expression of evaluation information with hesitant fuzzy sets (HFSs), we introduce HFSs into DTRSs and explore their decision mechanisms. More specifically, we take into account the losses of DTRSs with hesitant fuzzy elements and propose a new model of hesitant fuzzy decision-theoretic rough sets (HFDTRSs). Some properties of the expected losses and their corresponding scores are carefully investigated under the hesitant fuzzy information. Three-way decisions and the associated cost of each object are further derived. With the above analysis, a novel risk decision-making method with the aid of HFDTRSs is developed. Besides the three-way decisions with DTRSs, the method investigates the ranking and resource allocation by utilizing the associated costs of alternatives and multiobjective 0-1 integer programming. Our study also offers a solution in the aspect of determining losses of DTRS and extends the range of applications.
•Multi-granularity is considered in the attribute reduction for improving classification performances.•Multi-granularity attribute selector is proposed to accelerate searching of reduct.•Our proposed ...selector is efficient and effective.
Presently, the mechanism of multi-granularity has been frequently realized by various mathematical tools in Granular Computing especially rough set. Nevertheless, as a key topic of rough set, attribute reduction has been rarely exploited by the concept of multi-granularity. To fill such a gap, Multi-Granularity Attribute Reduction is defined to characterize reduct which satisfies the intended multi-granularity constraint instead of one and only one granularity based constraint. Furthermore, to accelerate the searching process of reduct, Multi-Granularity Attribute Selector is introduced into the framework of heuristic algorithm. Its key procedure is twofold including: (1) fuse all the granularities based measure-values to construct the multi-granularity constraint; (2) integrate the suitable granularities based measure-values to evaluate the candidate attributes. Based on the multi-granularity structure formed by neighborhood rough set, the experimental results over 20 UCI data sets demonstrate that compared with single granularity attribute reduction, our selector can not only generate reducts which may not contribute to poorer classification performances, but also significantly reduce the elapsed time of computing reducts. This research suggests the new trend of attribute reduction in multi-granularity environment.
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GEOZS, IJS, IMTLJ, KILJ, KISLJ, NLZOH, NUK, OILJ, PNG, SAZU, SBCE, SBJE, UILJ, UL, UM, UPUK, ZAGLJ, ZRSKP
•Flaxseed protein hydrolysates were prepared using immobilized Alcalase and Flavourzyme.•Peptides with molecular weight higher than 1,000 Da enhanced the mouthfulness and continuity in umami ...soup.•Low molecular weight (128–1,000 Da) peptides improved the flavor of MRPs.•The hydrolysates can be used as a template for the preparation of flaxseed Maillard reaction products.
We aimed to simplify the enzymolysis process for flaxseed protein hydrolysates production as Maillard reaction products (MRPs) to generate different flavor characteristics. More than 50% activity of immobilized enzymes (Alcalase and Flavourzyme) was retained after repeated use. Subsequently, after five weeks, the activities of the immobilized enzymes were also observed to be higher after storage at 4 °C. The optimum conditions for production of flaxseed protein hydrolysates using sequential enzymatic hydrolysis were as follow: 3,000 U/g of Alcalase at 60 °C and pH 8.0 for 2 h and 120 U/g of Flavourzyme at 50 °C and pH 6.5 for 2 h. Partial least squares regression analysis revealed that resulting peptides with the molecular weight (MW) higher than 1,000 Da could improve the mouthfulness and stability in umami soup; whereas, peptides with MW of 128–1,000 Da mainly contributed to the generation of meat-like flavor compounds with a significant effect on umami taste and bitterness.
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GEOZS, IJS, IMTLJ, KILJ, KISLJ, NLZOH, NUK, OILJ, PNG, SAZU, SBCE, SBJE, UL, UM, UPUK, ZRSKP
• We propose triangular fuzzy decision-theoretic rough sets (TFDTRS) to satisfy a fuzzy environment. • With the aid of multiple attribute group decision making, the values of loss functions are ...determined. • This study extends the application of decision-theoretic rough sets (DTRS).
Based on decision-theoretic rough sets (DTRS), we augment the existing model by introducing into the granular values. More specifically, we generalize a concept of the precise value of loss function to triangular fuzzy decision-theoretic rough sets (TFDTRS). Firstly, ranking the expected loss with triangular fuzzy number is analyzed. In light of Bayesian decision procedure, we calculate three thresholds and derive decision rules. The relationship between the values of the thresholds and the risk attitude index of decision maker presented in the ranking function is analyzed. With the aid of multiple attribute group decision making, we design an algorithm to determine the values of losses used in TFDTRS. It is achieved with the use of particle swarm optimization. Our study provides a solution in the aspect of determining the value of loss function of DTRS and extends its range of applications. Finally, an example is presented to elaborate on the performance of the TFDTRS model.
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GEOZS, IJS, IMTLJ, KILJ, KISLJ, NLZOH, NUK, OILJ, PNG, SAZU, SBCE, SBJE, UILJ, UL, UM, UPUK, ZAGLJ, ZRSKP
Effect of zinc (Zn) application to soil on root growth and Zn uptake and translocation in winter wheat are poorly understood. This study evaluated the effect of soil Zn fertilization (0, 2.3, 5.7, ...11.4, 22.7, 34.1 kg of Zn ha
) on root growth and distribution, crop Zn uptake, root-to-shoot translocation of Zn, and remobilization of Zn from shoot to grain. Results of this study revealed that Zn application ≤11.4 kg ha
significantly increased root dry weight, root length density, and root surface area within 0-30 cm soil depth and higher rates of Zn application caused slight decreases in these root parameters. Shoot biomass and shoot Zn accumulation increased as Zn application rate increased mainly because of improved matching of root growth and enhanced availability of Zn in the topsoil layer. Post-anthesis Zn uptake by shoot increased and translocation of Zn from root to shoot decreased as rate of Zn application increased. The degree to which Zn accumulation in grain resulted from pre-anthesis remobilization vs. post-anthesis shoot uptake depended on Zn availability in soil; post-anthesis shoot uptake dominated at DTPA-Zn concentrations >7.15 mg kg
, and pre-anthesis remobilization dominated at lower soil Zn levels. In conclusion, Zn uptake, translocation and remobilization to grain were affected by root growth and its matching with the availability of soil Zn. The results suggest that soils similar to the study soil should be fertilized to 30 cm depth with about 11.4 kg ha
Zn in order to obtain high yield and grain Zn concentration of wheat.
Improving the development of inferior grains is important for increasing maize yield under high-density conditions. However, the effect of micronutrients, especially zinc (Zn), on the development of ...inferior grains and maize yield under field conditions has not been evaluated to date. A field experiment with six Zn application rates (0, 2.3, 5.7, 11.4, 22.7, and 34.1 kg/ha) was conducted to investigate the effects of soil application of Zn fertilizer on the development of inferior grains. Pollen viability was measured at the tasseling stage. The maize spike was divided into apical (inferior grain), middle, and basal sections for further measurement at harvest. Results showed that soil application of Zn fertilizer increased maize yield by 4.2-16.7% due to increased kernel number and weight in the apical, but not in the middle and basal sections. Zn application also significantly increased pollen viability at the tasseling stage. The critical Zn concentrations in shoots at the tasseling stage for obtaining high pollen viability and high kernel numbers of inferior grains were 31.2 and 35.6 mg/kg, respectively. Zn application also increased the 1,000-kernel weight of inferior grain due to high biomass accumulation. Furthermore, the grain Zn concentration of inferior grain with Zn application increased by 24.3-74.9% compared with no Zn application. Thus, soil application of Zn fertilizer successfully increased grain yield of maize by improving pollen viability, kernel number, and kernel weight of inferior grains (apical section), also contributing to grain Zn biofortification.
To comprehensively synthesise existing evidence from systematic reviews regarding the effects of exercise interventions on physical, psychological and social outcomes in frail older adults to provide ...reference for clinical practice.
Frailty is highly prevalent in older adults and associated with increased adverse health outcomes. Some systematic reviews have assessed the effectiveness of exercise interventions in frail older adults with varied inclusion criteria, methodology quality, types of exercise and outcome measures.
An overview of systematic reviews reported following the PRISMA checklist.
PubMed, Embase, CINAHL, Web of Science and Cochrane database were searched from inception until June 2023 to identify relevant systematic reviews with or without meta-analysis of randomised controlled trails. Two reviewers independently selected articles, extracted data, assessed quality and summarised findings.
A total of 17 systematic reviews were included, with methodology quality varying from moderate to critically low. The most frequent types of exercise were multicomponent exercise and resistance-based exercise in community and long-term care facilities, respectively. Exercise interventions had positive effects on most physical outcomes and depression, but inconsistent effects on cognitive function and quality of life. The quality of the evidence for most outcomes was low and very low.
This overview highlights the importance of exercise interventions to improve physical, psychological and social aspects in frail older adults and provides evidence on characteristics of exercise interventions for frailty in various settings.
Multicomponent exercise and resistance-based exercise should be recommended for frail older adults. There is a need of more well-designed research with large sample size and validated definition of frailty. Long-term effects, adherence during and after exercise interventions, adverse events and cost-effectiveness should be emphasised in future studies.
The overview protocol was registered on the International Prospective Register of Systematic reviews (CRD 42021281327).
No patient or public contribution.
The Preferred Reporting Items for Systematic Reviews and Meta-analysis (PRISMA) guidelines were applied to report the results.
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BFBNIB, FZAB, GIS, IJS, KILJ, NLZOH, NUK, OILJ, SAZU, SBCE, SBMB, UL, UM, UPUK, VSZLJ
Decision-theoretic rough sets (DTRSs) capture the decision semantics and can deduce three-way decisions with respect to the minimum expected risk. Considering the new evaluation format of hesitant ...fuzzy sets, we extend the range of applications of DTRSs to hesitant fuzzy information systems. In this case, the integrated approach by considering the interaction between information systems and loss functions becomes one of challenges. Different from the results reported in most of the existing papers, we combine the hesitant fuzzy information system and loss functions together via error analysis. In the hesitant fuzzy information system, a new binary relation is first defined by utilizing the normalization of hesitant fuzzy elements and the distance function. Then, the calculations of the similarity class and the conditional probability are discussed. With the aid of the error analysis method, we effectively aggregate the loss functions presented in the similarity class and determine the expected losses in the format of the intervals. Based on the possibility degree, we further explore the decision rules by comparing the expected losses. With the above analysis, we design a decision-making procedure of three-way decisions in a hesitant fuzzy information system. Finally, we elaborate the application of three-way decisions in hesitant fuzzy information systems by an example of the security evaluation of peer-to-peer lending platforms and validate our methods.
Background and aims
Although phosphorus (P) application is known to affect the zinc (Zn) nutrition of crops, the underlying mechanisms and effects of soil type are unclear.
Methods
A greenhouse pot ...experiment was conducted with wheat, two soils (calcareous and acid), and nine P fertilizer rates (0, 50, 100, 200, 400, 1000, 2000, 3000, and 5000 mg P
2
O
5
kg
−1
soil).
Results
The effects of P application on the Zn content of shoots and roots in wheat and on the levels of available Zn in soil differed on the two soils. The wheat dry weight on both soils was highest with 2000 mg P
2
O
5
kg
−1
. Total Zn accumulation was reduced above 2000 mg P
2
O
5
kg
−1
on the acid soil and above 100 mg P
2
O
5
kg
−1
on the calcareous soil. Available soil Zn declined when the Bray-P concentration reached about 34 mg kg
−1
in the acid soil and when the Olsen-P concentration exceeded 200 mg kg
−1
in the calcareous soil. Shoot Zn concentrations were negatively related to available soil P on the two soils.
Conclusion
The negative effects of increasing P application rates on Zn accumulation by wheat differed between the two soils. The effects showed no close relationship to available soil Zn.
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BFBNIB, DOBA, EMUNI, FIS, FZAB, GEOZS, GIS, IJS, IMTLJ, IZUM, KILJ, KISLJ, MFDPS, NLZOH, NMLJ, NUK, OBVAL, OILJ, PILJ, PNG, SAZU, SBCE, SBJE, SBMB, SBNM, UILJ, UKNU, UL, UM, UPUK, VKSCE, ZAGLJ
A brief review is given regarding ultrafast laser micromachining of materials. Some general experimental observations are first provided to show the characteristics of ultrafast laser micromachining. ...Apart from empirical research, mathematical models also appear to allow for a further and systematic understanding of these phenomena. A few fundamental ultrafast laser micromachining mechanisms are addressed in an attempt to highlight the physics behind the experimental observations and the mathematical models. It is supposed that a vivid view of ultrafast laser micromachining has been presented by linking experimental observations, mathematical models and the behind physics.
► The experimental parameters’ effect on ultrafast laser micromachining is provided. ► It reasonably classified mathematical models widely applied. ► It revealed different ultrafast laser ablation mechanisms under varied fluence.
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