Application of Fuzzy Numbers to Assessment Processes

Author(s):  
Michael Voskoglou

A Fuzzy Number (FN) is a special kind of FS on the set R of real numbers. The four classical arithmetic operations can be defined on FNs, which play an important role in fuzzy mathematics analogous to the role played by the ordinary numbers in crisp mathematics (Kaufmann & Gupta, 1991). The simplest form of FNs is the Triangular FNs (TFNs), while the Trapezoidal FNs (TpFNs) are straightforward generalizations of the TFNs. In the present work a combination of the COG defuzzification technique and of the TFNs (or TpFNs) is used as an assessment tool. Examples of assessing student problem-solving abilities and basket-ball player skills are also presented illustrating in practice the results obtained. This new fuzzy assessment method is validated by comparing its outcomes in the above examples with the corresponding outcomes of two commonly used assessment methods of the traditional logic, the calculation of the mean values and of the Grade Point Average (GPA) index. Finally, the perspectives of future research on the subject are discussed.

Author(s):  
Michael Voskoglou

A fuzzy number (FN) is a special kind of FS on the set R of real numbers. The four classical arithmetic operations can be defined on FNs, which play an important role in fuzzy mathematics analogous to the role played by the ordinary numbers in crisp mathematics. The simplest form of FNs is the triangular FNs (TFNs), while the trapezoidal FNs (TpFNs) are straightforward generalizations of the TFNs. In the chapter, a combination of the COG defuzzification technique and of the TFNs (or TpFNs) is used as an assessment tool. Examples of assessing student problem-solving abilities and basketball player skills are also presented illustrating in practice the results obtained. This new fuzzy assessment method is validated by comparing its outcomes in the above examples with the corresponding outcomes of two commonly used assessment methods of the traditional logic, the calculation of the mean values, and of the grade point average (GPA) index. Finally, the perspectives of future research on the subject are discussed.


2016 ◽  
Vol 46 (6) ◽  
pp. 1014-1018 ◽  
Author(s):  
Charline Zaratin Alves ◽  
Lennis Afraire Rodrigues ◽  
Carlos Henrique Queiroz Rego ◽  
Josué Bispo da Silva

ABSTRACT: Crambe is a rapeseed with high oil content and can be used as a winter cover or as a source of raw material for the production of biodiesel, however espite the growing interest in the culture, research on the subject is still incipient, especially concerning the seed production and analysis technology. The purpose of this study is to evaluate the physiological quality of crambe seeds, 'FMS Brilhante' cultivar, by testing the pH of exudate. Five seed lots were submitted to the determination of water content and the tests of germination and vigor (first count, emergence and tetrazolium). In the conduction of pH exudate test, temperatures (25 and 30oC), and periods of seed imbibition in water (15, 30 and 45 minutes) were tested. The experiment was conducted in a completely randomized manner, with four replicates, and the mean values were compared by the Tukey test at 5% probability; Pearson correlation between the pH of the exudate and initial tests was also made. Testing the pH of exudate is promising for separating lots of crambe seeds and the following combinations of 25°C/30 minutes or 30°C/45 minutes can be used.


2016 ◽  
Vol 30 (2) ◽  
pp. 104-107 ◽  
Author(s):  
Amilliah W. Kenya ◽  
John F. Hart ◽  
Charles K. Vuyiya

Objective: This study compared National Board of Chiropractic Examiners part I test scores between students who did and did not serve as tutors on the subject matter. Methods: Students who had a prior grade point average of 3.45 or above on a 4.0 scale just before taking part I of the board exams were eligible to participate. A 2-sample t-test was used to ascertain the difference in the mean scores on part I between the tutor group (n = 28) and nontutor (n = 29) group. Results: Scores were higher in all subjects for the tutor group compared to the nontutor group and the differences were statistically significant (p < .01) with large effect sizes. Conclusion: The tutors in this study performed better on part I of the board examination compared to nontutors, suggesting that tutoring results in an academic benefit for tutors themselves.


10.28945/4627 ◽  
2020 ◽  
Vol 19 ◽  
pp. 157-184
Author(s):  
Rosalina Babo ◽  
Jarkko T Suhonen ◽  
Markku Tukiainen

Aim/Purpose: The purpose of this study is to develop an efficient methodology that can assist the evaluators in assessing a variable number of individuals that are working in groups and guarantee that the assessment is dependent on the group members’ performance and contribution to the work developed. Background: Collaborative work has been gaining more popularity in academic settings. However, group assessment needs to be performed according to each individual’s performance. The problem rests on the need to distinguish each member of the group in order to provide fair and unbiased assessments. Methodology: Design Science Research methodology supported the design of a framework able to provide the evaluator with the means to distinguish individuals in a workgroup and deliver fair results. Hevner’s DSR guidelines were fulfilled in order to describe WebAVALIA. To evaluate the framework, a quantitative study was performed and the first results are presented. Contribution: This paper provides a methodological solution regarding a fair evaluation of collaborative work through a tool that allows its users to perform their own assessment and peer assessment. These are made accordingly to the user’s perspectives on the performance of each group member throughout the work development. Findings: The first analysis of the results indicates that the developed method provides fairness in the assessment of group members, delivering a distinction amongst individuals. Therefore, each group member obtains a mark that corresponds to their specific contribution to the workgroup. Recommendations for Practitioners: For those who intend to apply this workgroup assessment method, it is relevant to raise student awareness about the methodology that is going to be used. That is, all the functionalities and steps in WebAVALIA have to be thoroughly explained before beginning of the project. Then, the evaluators have to decide about the students’ intermediate voting, namely if the evaluator chooses or not to publish student results throughout the project’s development. If there is the decision to display these intermediate results, the evaluator must try to encourage collaboration among workgroup members, instead of competition. Recommendation for Researchers: This study explores the design and development of an e-assessment tool – WebAVALIA. In order to assess its feasibility, its use in other institutions or contexts is recommended. The gathering of user opinions is suggested as well. It would then be interesting to compare the findings of this study with the results from other experimentations Impact on Society: Sometimes, people develop a rejection of collaborative work because they feel exploited due to the biased evaluation results. However, the group members assessment distinction, according to each one’s performance, may give each individual a sense of fairness and reward, leading to an openness/willingness towards collaborative work. Future Research: As future work, there are plans to implement the method in other group assessment contexts – such as sports and business environments, other higher education institutions, technical training students – in other cultures and countries. From this myriad of contexts, satisfaction results would be compared. Other future plans are to further explore the mathematical formulations and the respective WebAVALIA supporting algorithms.


Author(s):  
Ioana PORUMB ◽  
Florin RUSSU ◽  
Ioan ROTAR

Work collections are subjected to a renewal process, therefore a regular evaluation is needed inorder to appreciate the genetic advance of the existing variability at collection level and further to identify valuable genotypes in terms of morphoproductive and qualitative traits (protein, starch). The barley intended for brewing must correspond to some qualitative parameters, of which proteins and starch content are of major importance. For this purpose, a study was conducted to assess the variability and heritability indicators corresponding to the two traits at 48 barley genotypes. The genotypes that were the subject of this study were sown in three experimental years 2013, 2014 and 2016. The mean values of 2013 year was 13.71 compared with only 10.77, and 11.27 in 2014 and 2016. The significant value of the heritability coefficient along with the genetic advantage of 0.81 indicates the success of selection work for this important chemical trait.


2018 ◽  
Vol 61 (6) ◽  
pp. 1933-1938 ◽  
Author(s):  
Dorota Godyn ◽  
Piotr Herbut ◽  
Sabina Angrecka

The aim of this study was to evaluate the effectiveness of a simple fogging system on the microclimate of a farrowing room and the sows’ welfare, which was analyzed through physiological indicators such as respiration rate, and rectal and skin surface temperature. Of 42 lactating sows, 21 were housed in a section (section I) of the farrowing room with a high-pressure fogging system, while the other group (n = 21) were housed without any cooling treatment (section II). Significant differences were found between mean values of microclimatic parameters. The air temperature in section I with active cooling was 2.1°C (p = 0.01) lower than in section II; however, the cooling induced a significant (p = 0.01) increase (18.6%) in air relative humidity. The mean temperature-humidity index (THI) was 0.8 lower (p = 0.05) in the cooled section. The fogging system had a significant impact on the reduction of respiration rate. Rectal and skin surface temperatures were at similar levels in both groups of sows. Based on this study, future research is needed to continue the development of this system as well as new technologies that would be applicable for the climate conditions of central and eastern Europe. Keywords: Animal welfare, Animal housing, Cooling.


2016 ◽  
Vol 722 ◽  
pp. 187-194
Author(s):  
Roman Jaskulski ◽  
Paweł Las ◽  
Wojciech Kubissa

The subject of the work is to develop probabilistic models defining the water absorption of concretes made ​​with the use of recycled aggregate (RCA). For the study 16 series of concrete mixtures were made with a 50 mass% share of recycled aggregate in the whole amount of coarse aggregate. The analysis of test results aimed at formulating a relationship between water absorption value and selected parameters of the composition of concretes. The objective was to find a model giving the best fit between calculated values and test results. Formulated models were then used in probabilistic modeling absorption using a Monte Carlo simulation. The results indicate a good agreement of the mean values of water absorption and possibility of good fitting of the standard deviation if an additional summand is introduced into the model.


2021 ◽  
Vol 13 (20) ◽  
pp. 11206
Author(s):  
Barbara Vojvodíková ◽  
Radim Fojtík ◽  
Iva Tichá

Brownfields have been the subject of research, evaluation, categorization and, of course, redevelopment for many years. The ABC(D) model (an assessment tool to identify different types of sites in terms of their potential) by the Concerted Action on Brownfield and Economic Regeneration Network (CABERNET) has been mentioned in many publications. The aim of the assessment method presented in this article is to use the basic essence of the categories in the ABC(D) model and to use our own very simple criteria. Our criteria are the result of many years of experience in the creation and management of the brownfield database. In 2017, the development potential of selected brownfields in the database of the Moravian-Silesian region (Czech Republic) was evaluated using our proposed procedure (three objective and one subjective criterion). In 2020, verification of the categories in regard to how correctly or incorrectly they were proposed was carried out. The results from this verification, including reasons for the accompanying inaccuracies, are a part of this article. We verified that the very simple evaluation procedure we proposed is functional and can be applied by database administrators continuously without the need to create complex datasets and statistical evaluations.


Materials ◽  
2021 ◽  
Vol 14 (24) ◽  
pp. 7685
Author(s):  
Karolina Matej-Łukowicz ◽  
Ewa Wojciechowska ◽  
Joanna Strycharz ◽  
Marta Szubska ◽  
Karol Kuliński ◽  
...  

Every year, huge amounts of bottom sediments are extracted worldwide, which need to be disposed. The recycling of bottom sediments for soil fertilization is in line with the long-promoted circular economy policy and enables the use of micro and macronutrients accumulated in sediments for soil fertilization. When considering potential agricultural reuse of the dredge sediments, the first necessary step should be to analyze whether the heavy metal content meets the obligatory criteria. Then, the contents of valuable elements required for plant growth and their ratios should be assessed. In this study, the content of nitrogen, organic carbon, phosphorus, and potassium was tested and iron, sulfur, calcium, and magnesium were also analyzed along vertical profiles of sediments extracted from four urban retention tanks in Gdańsk (Poland). The sediments were indicated to have a low content of nutrients (Ntot 0.01–0.52%, Corg 0.1–8.4%, P2O5 0.00–0.65%, K 0.0–1.0%), while being quite rich in Fe and S (0.2–3.3%, 0.0–2.5%, respectively). The C/N ratio changed in the range of 17.4–28.4, which proved good nitrogen availability for plants. The mean values of the Fe/P ratio were above 2.0, which confirms that phosphorus in the sediments would be available to the plants in the form of iron phosphate. To summarize, the bottom sediments from municipal retention reservoirs are not a perfect material for soil fertilization, but they are a free waste material which, when enriched with little cost, can be a good fertilizer. Future research should focus on cultivation experiments with the use of sediments enriched with N, P, Corg.


2018 ◽  
Vol 30 (3) ◽  
Author(s):  
Ayodele Olanrewaju Ogunlela ◽  
Odunayo Babatunde Omole ◽  
Kamorudeen Olaniyi Yusuf

Reservoir sedimentation is a serious problem that normally reduces the capacity of a dam (reservoir) for water storage over a given period of time. This can lead to insufficient availability of water for domestic uses, irrigation and hydropower. This study was conducted to determine the rate of sedimentation, sediment yield and the capacity of the University of Ilorin dam (Ilorin, Nigeria) between June 2007 and June 2014. Geographic Information System (GIS), Global Positioning System (GPS), canoe and lead-line techniques were used for the measurement of depth of the reservoir of the dam. Soil and Water Assessment Tool (SWAT) model was used to simulate the sediment yield. The initial capacity of the dam after construction in 2007 was 1.800 x 106 m3 but this capacity was reduced to 1.411 x 106 m3 in 2014 due to sedimentation. The sediment was found to be clay soil which covered 389,170 m3 of the reservoir and the mean bulk density of the clay soil sediment was 1139 kg/m3. The mean values of clay, silt and sand contents of the sediment yield were 46.5, 35.6 and 17.9 %, respectively. The annual sediment yield was high in the reservoir due to farming activities at the upstream end of the dam, annual rate of sedimentation was 12.78 m3/ha/yr and sediment yield was 14,557.14 kg/ha/yr. Farming activities should be prevented at the upstream of the dam and dredging should be done every 10 years when 30.87% of the storage capacity would be occupied by sediment.


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