scholarly journals Prioritization of Students Understanding in Rules of Differentiation using Fuzzy Soft Matrices and Lambda – max Method

2021 ◽  
Vol 17 (2) ◽  
pp. 139-145
Author(s):  
Samsiah Abdul Razak ◽  
Aslina Omar ◽  
Ainon Syazana Ab. Hamid ◽  
Izni Syamsina Saari

Calculus is one of the most important courses especially for undergraduate students in many fields of study. Some researchers have identified the causes of the high failure rate which includes lack of basic foundation of mathematics and basic concept of differentiation. Aside from that, the main problems that can be seen among students are the difficulty in identifying the type of function in differentiation and identifying the suitable method to solve a particular problem. There are three rules included in differentiation which are the Chain Rule, Product Rule and Quotient Rule. This study is conducted to examine the level of understanding of the students on the function and the derivative techniques after applying derivative game applications in this course. This paper is based on Fuzzy Analytic Hierarchy Process (Fuzzy AHP) which use fuzzy number in pair-wise comparison matrix. The prioritization of students’ understanding in differentiation rules will then be measured by Fuzzy AHP using Lambda-max method. The highest among the three rules in differentiation will considered as a result. The findings of this study indicated that the highest score with 0.4700 is the Chain Rule. This study can help lectures to know the level or understanding among three rules in differentiation and lecturer well prepared their teaching materials in the classroom as well as to reduce the failure rate among students in this course

2018 ◽  
Vol 43 (3) ◽  
pp. 33-42
Author(s):  
Chen Wang ◽  
Lincoln C. Wood ◽  
Huijun Liang

Various demands and requirements of foreign home-buyers from different background are yet unclear to most of the residential developers. The aim of this study is to blueprint a fuzzy mapping of psychological phenomena reflected in consumer behavior, and to develop a Fuzzy Analytic Hierarchy Process (Fuzzy-AHP) decision making model to assist residential developers in dealing with potential foreign customers. Through a questionnaire survey in the form of pair wise comparison matrix among 126 expatriates, this study introduces a new approach to assist residential developers dealing with expatriates' preference on house purchase in Malaysia in a simple and efficient way. With this fuzzy mapping, residential developers could utilize psychological phenomena to manipulate expatriates' preference on housing purchase rather than to merely comply passively.


Author(s):  
UFUK CEBECI ◽  
DA RUAN

Quality consultants are used in ISO 9000 implementation projects especially by many small and medium-sized enterprises. Clients do not always appreciate differences between quality consultants. This paper aims to provide an analytical tool to select the best quality consultant providing the most customer satisfaction. The clients of three Turkish quality consultancy firms were interviewed and the most important criteria taken into account by the clients while they were selecting their consultancy firms were determined by a designed questionnaire. The fuzzy analytic hierarchy process was applied to compare these consultancy firms. The means of the triangular fuzzy numbers produced by the customers and experts for each comparison were successfully used in the pair wise comparison matrices.


2018 ◽  
Vol 4 (5) ◽  
pp. 1074 ◽  
Author(s):  
Reza Pashaei ◽  
Abdolreza S. Moghadam

Decision making for selecting an appropriate alternative among nominated alternatives is still a problem among retrofit designers. It is clear that selected alternative should comply the current codes in terms of structural criteria, but the other criteria may not be considered. The main goal of this study is to introduce a suitable method for making a decision in order to find the best alternative considering the effective criteria in retrofitting of low-rise buildings. Analytic Hierarchy Process (AHP), as a technique of Multi-Criteria Decision Making (MCDM), is compatible to solve the problem. Effective criteria have been categorized to structural, operational, economic and functional criteria and sixteen sub-criteria considered as a pattern that satisfies the entire involved group including structural and architectural engineers, contractor, client, and authorities in retrofitting of low-rise buildings. Since most of the involved criteria such as aesthetic, durability, and compatibility have fuzzy nature and cannot be compared numerically, fuzzy AHP can be a compatible method for comparison different retrofitting alternatives among both fuzzy and non-fuzzy criteria. A matrix of pair-wise comparison (MPC) is used for determining the weight of criteria and also for scoring the alternatives respect to each criterion. A Fuzzy Importance scale with Triangular Fuzzy Numbers (TFN) is applied for comparing the criteria. The method is examined by a case study and the results show the used method can help designers for selecting the appropriate alternative.


Author(s):  
G. Marimuthu ◽  
G. Ramesh

Decisions usually involve the getting the best solution, selecting the suitable experiments, most appropriate judgments, taking the quality results etc., using some techniques.  Every decision making can be considered as the choice from the set of alternatives based on a set of criteria.  The fuzzy analytic hierarchy process is a multi-criteria decision making and is dealing with decision making problems through pairwise comparisons mode [10].  The weight vectors from this comparison model are obtained by using extent analysis method.  This paper concern with an alternate method of finding the weight vectors from the original fuzzy AHP decision model (moderate fuzzy AHP model), that has the same rank as obtained in original fuzzy AHP and ideal fuzzy AHP decision models.


2015 ◽  
Vol 4 (1and2) ◽  
Author(s):  
Rajeev Dhingra ◽  
Preetvanti Singh

Decision problems are usually complex and involve evaluation of several conflicting criteria (parameters). Multi Criteria Decision Making (MCDM) is a promising field that considers the parallel influence of all criteria and aims at helping decision makers in expressing their preferences, over a set of predefined alternatives, on the basis of criteria (parameters) that are contradictory in nature. The Analytic Hierarchy Process (AHP) is a useful and widespread MCDM tool for solving such type of problems, as it allows the incorporation of conflicting objectives and decision makers preferences in the decision making. The AHP utilizes the concept of pair wise comparison to find the order of criteria (parameters) and alternatives. The comparison in a pairwise manner becomes quite tedious and complex for problems having eight alternatives or more, thereby, limiting the application of AHP. This paper presents a soft hierarchical process approach based on soft set decision making which eliminates the least promising candidate alternatives and selects the optimum(potential) ones that results in the significant reduction in the number of pairwise comparisons necessary for the selection of the best alternative using AHP, giving the approach a more realistic view. A supplier selection problem is used to illustrate the proposed approach.


2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Anchal Gupta ◽  
Rajesh Kr Singh ◽  
Shivam Gupta

PurposeThe purpose of this study is to identify factors that are important for logistics organizations from the perspective of manpower readiness for digitization of logistics operations. The study also prioritizes the identified factors and also evaluates the readiness index of manpower for the digitalization of logistics processes.Design/methodology/approachThe factors for manpower readiness are identified through literature review and analysis of a case study. Three major categories of factors are identified. These are organizational, behavioural and technological factors. Under these three major categories of factors, 18 sub-factors are identified. Thereafter, with experts' inputs, the factors are prioritized using Fuzzy analytic hierarchy process (AHP). Further, a case illustration of an Indian logistics company has been taken to understand the current processes, technical capabilities, manpower skills and organization culture. After the case analysis and expert inputs, the manpower readiness index has been evaluated by using graph theory matrix approach (GTMA).FindingsThe prioritization of manpower readiness factors has been done using Fuzzy AHP. Organizational factors are found to be the most important factors which require quick attention. Sub-factors that are most important for building competencies in the logistics sector are providing the right training on functional skill development (0.129), top management support and commitment for digitalization (0.117), and organizational culture for process digitalization (0.114), etc. Finally, framework for evaluation of manpower readiness index for logistics operations in the digital age has been illustrated for a case company.Practical implicationsIndian logistics companies can benchmark their readiness index with respect to the best in the industry. Based on the readiness index, logistics companies can analyse their position, gaps from best and worst and can also identify potential areas for improvement.Originality/valueThe novelty of the study lies in the development of a framework for manpower readiness for digitalization in the logistics sector. In literature, this field is very less researched and provides the scope for developing strategies for improving manpower competencies for Industry 4.0. Logistics companies can improve their performance by making their manpower ready based on results obtained for readiness index.


2019 ◽  
Vol 11 (19) ◽  
pp. 5184
Author(s):  
Bo-Rui Yan ◽  
Qian-Li Dong ◽  
Qian Li

International capacity cooperation is easily affected by the interweaving of its internal and external environment. As the risk accumulation exceeds the threshold, a supply chain crisis and even emergency will occur and serious losses will be caused. Regarding multinational operation and international capacity cooperation, 208 cases were summarized to identify risk types and high-incidence areas, and a risk measurement index system was established. A Fuzzy AHP (Analytic Hierarchy Process) method was used to evaluate the importance of each risk index. It was found that country risk was the main cause of supply chain emergencies in international capacity cooperation. Construction, water and electricity supply, mining and manufacturing were major areas of emergencies. In international capacity cooperation, country risk and cross-cultural risk were more important in external risks, while in internal risk, financial risk and decision risk were more important.


2016 ◽  
Vol 5 (2) ◽  
pp. 59
Author(s):  
TJOKORDA GDE AGUNG FRISKA ADNYANA ◽  
G. K. GANDHIADI ◽  
DESAK PUTU EKA NILAKUSMAWATI

The aim of this research is to apply Fuzzy Analytic Hierarchy Process method to determine the dominant sectors of economy Bali Province. This research used survey data from respondents who understand about economy of Bali Province and Gross Regional Domestic Product (GRDP). The research variables consist of criteria and sub-criteria. The criteria consist of primary sector, secondary, and tertiary, while the sub-criteria consist of 9 sectors of the GRDP. Data processing is done by calculating the weighted average and arrange them into pairwise comparison matrices. Furthermore, the consistency ratio is checked. If consistency ratio less than 0.100 (), the elements of matrices is changed into triangular fuzzy scale and processed with synthetic extent to get the priority. Based on the result of research, the economy of Bali are dominated by tertiary sector in sector group, agriculture and forestry in sub-primary group, manufacturing industry in sub-secondary group, and trade, hotel and restaurant in sub-tertiary group.


2010 ◽  
Vol 20 (1) ◽  
pp. 71-85 ◽  
Author(s):  
Milanka Gardasevic-Filipovic ◽  
Dragan Saletic

In the paper the fuzzy extension of the Analytic Hierarchy Process (AHP) based on fuzzy numbers, and its application in solving a practical problem, are considered. The paper advocates the use of contradictory test to check the fuzzy user preferences during fuzzy AHP decision-making process. We also propose consistency check and deriving priorities from inconsistent fuzzy judgment matrices to be included in the process, in order to check if the fuzzy approach can be applied in the AHP for the problem considered. An aggregation of local priorities obtained at different levels into composite global priorities for the alternatives based on weighted-sum method is also discussed. The contradictory fuzzy judgment matrix is analyzed. Our theoretical consideration has been verified by an application of commercially available Super Decisions program (developed for solving multi-criteria optimization problems using AHP approach) on the problem previously treated in the literature. The obtained results are compared with those from the literature. The conclusions are given and the possibilities for further work in the field are pointed out.


Techno Com ◽  
2019 ◽  
Vol 18 (2) ◽  
pp. 178-189
Author(s):  
Siti Monalisa ◽  
Raynaldi Setiawan

BMT Al-ittihad terdapat bermacam-macam pembiayaan  salah satunya Murabahah yang berarti akad jual beli barang dengan menyatakan harga perolehan dan keuntungan (margin) yang disepakati oleh penjual dan pembeli. BMT Al-itthad dalam proses melaksanakan akad Murabahah dilakukan dengan menganalisa kelayakan pemberian pembiayaan kepada anggota dengan cara melengkapi persyaratan umum dan menggunakan bahasa yang subjektif terhadap penilaian kriteria karakter berdasarkan rekomendasi anggota lain,wawancara dan cara berkomunikasi, Penilaian karakter merupakan penilaian yang paling penting berdasarkan hasil wawancara dengan kepala pembiayaan karena penilaian karakter merupakan penilaian untuk melihat apakah anggota sanggup dan amanah membayar hutang. Untuk mengatasi penilaian yang bersifat subjektif maka dirancang sebuah sistem pendukung keputusan pemberian pembiayaan dengan menggunakan metode fuzzy analytic hierarchy process. Metode fuzzy AHP merupakan penggabungan dari metode fuzzy dan AHP. Metode fuzzy AHP dapat menutupi kelemahan yang terdapat pada AHP yaitu menangani penilaian yang bersifat subjektif . Sistem ini dirancang menggunakan bahasa pemrograman PHP, MySQL , sedangkan metode pengembangan sistem menggunakan V-model dan UML sebagai standar pemodelannya. Sistem pendukung keputusan  ini dapat memudahkan serta mempercepat proses penentuan pemberian pembiayaan Murabahah kepada anggota.


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