Some applications of possibilistic mean value, variance, covariance and correlation

In 2001 we introduced the notions of possibilistic mean value and variance of fuzzy numbers. In this paper we list some works that use these notions. We shall mention some application areas as wel

Direct solution of uncertain bratu initial value problem

In this paper, an approximate analytical solution for solving the fuzzy Bratu equation based on variation iteration method (VIM) is analyzed and modified without needed of any discretization by taking the benefits of fuzzy set theory. VIM is applied directly, without being reduced to a first order system, to obtain an approximate solution of the uncertain Bratu equation. An example in this regard have been solved to show the capacity and convenience of VIM

Mobile Educational Game Principles in Language Learning: Validity and reliability

Mobile Assisted Language Learning (MALL) has become a popular topic recently due to the rapid development of mobile devices. The objective of this study is to revalidate game principles via MALL and to obtain consensus and expert opinions on the principles. The study employs the Fuzzy Delphi technique to collect responses from nine English Language specialists. The triangular fuzzy numbering method was used to analyze the data, and the 'defuzzification' process was used to determine each variable's position (ranking). According to the findings, the response and expert consensus on the game principles scale is satisfactory.   Keywords: Mobile Educational Game Principles; Expert Consensus; Fuzzy Delphi Method; MALL eISSN: 2398-4287 © 2023. The Authors. Published for AMER ABRA cE-Bs by e-International Publishing House, Ltd., UK. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). Peer–review under responsibility of AMER (Association of Malaysian Environment-Behaviour Researchers), ABRA (Association of Behavioural Researchers on Asians/Africans/Arabians) and cE-Bs (Centre for Environment-Behaviour Studies), Faculty of Architecture, Planning & Surveying, Universiti Teknologi MARA, Malaysia. DOI: https://doi.org/10.21834/ebpj.v8i23.450

Experts’ Opinion Matters! Green Technology Elements for Construction Technology in Vocational Colleges

Green Technology refers to clean energy production, the use of alternative fuels, and technologies that are less harmful to the environment than fossil fuels. It has garnered a significant amount of interest due to increasing awareness about the impacts of climate change and the depletion of natural resources. While the buildings emit more carbon dioxide and other greenhouse gases than other industries, the use of Green Technology will be able to reduce human impacts on the natural environment and prevent climate change. Therefore, the purpose of this study is to investigate the Green Technology Elements for Construction Technology in Vocational College that is seen fundamental as these students will be in the construction workforce in the future. The study was conducted using the Fuzzy Delphi Method (FDM) involving a combination of 20 experts with various expertise from a heterogeneous group. A set of questionnaires using a 7-point Likert Scale was formed based on expert interviews in the first phase of this study and the data obtained were then analysed using triangular fuzzy numbers and ranking for each variable was determined using the defuzzification process. The findings showed that all elements listed reached the experts’ consensus. Expert consensus also found that the Carbon Initiatives element ranked first meanwhile the Introduction to Green Technology element ranked last in the list of elements. These elements are agreed upon in preparing academically exemplary individuals while ensuring every graduate from Vocational College, especially from the Construction Technology course is equipped with job-ready skills to tackle real-life problems. 

Defuzzification of groups of fuzzy numbers using data envelopment analysis

Defuzzification is a critical process in the implementation of fuzzy systems that converts fuzzy numbers to crisp representations. Few researchers have focused on cases where the crisp outputs must satisfy a set of relationships dictated in the original crisp data. This phenomenon indicates that these crisp outputs are mathematically dependent on one another. Furthermore, these fuzzy numbers may exist as a group of fuzzy numbers. Therefore, the primary aim of this thesis is to develop a method to defuzzify groups of fuzzy numbers based on Charnes, Cooper, and Rhodes (CCR)-Data Envelopment Analysis (DEA) model by modifying the Center of Gravity (COG) method as the objective function. The constraints represent the relationships and some additional restrictions on the allowable crisp outputs with their dependency property. This leads to the creation of crisp values with preserved relationships and/or properties as in the original crisp data. Comparing with Linear Programming (LP) based model, the proposed CCR-DEA model is more efficient, and also able to defuzzify non-linear fuzzy numbers with accurate solutions. Moreover, the crisp outputs obtained by the proposed method are the nearest points to the fuzzy numbers in case of crisp independent outputs, and best nearest points to the fuzzy numbers in case of dependent crisp outputs. As a conclusion, the proposed CCR-DEA defuzzification method can create either dependent crisp outputs with preserved relationship or independent crisp outputs without any relationship. Besides, the proposed method is a general method to defuzzify groups or individuals fuzzy numbers under the assumption of convexity with linear and non-linear membership functions or relationships

Analisis fuzzy delphi terhadap halangan dalam pelaksanaan mobile learning di Institut Pendidikan Guru

The innovation in mobile learning has brought about paradigm shift that it believed to have potential in the teaching and learning process in Institute of Teacher Training.Mobile learning is a step forward in the development of e-learning, with the creation of mobile devices, education experts took the initiative to apply the technology into the teaching and learning process. The objective of this research is to find out about the opinion of experts in the usage of mobile learning in teachers training institute . In this research, the Fuzzy Delphi Method with 5 fuzzy scale is used to collect responses form 15 expert lecturers from various education field in the Northern Zone of Institute of Teacher Education. Collected data are analyzed using triangular fuzzy number and the ranking of each variable are obtained through the defuzzification process.There were 18 questionnaire items given to the experts for their assessment where Fuzzy Delphy method is used for analysis.The data collected were analyzed using the triangular fuzzy number and the ranking of each variable was identified using defuzzification process.The experts’ consensus indicated that the item “Terdapat kekurangan dalam perisian program pendidikan”(there is a disadvantage in the education programme software) was ranked first. This research benefited both the lecturers and students as well as the education system in Malaysia in the transformation of education in integrating mobile technology in the latest learning environment

Fuzzy Delphi Method Application Towards Usability Evaluation of Problem Solving Framework: Application in Education

Non-digital games are tools that can help children build and improve problem-solving skills. Children need to solve problems using analogies from one situation to another, following the correct steps. To improve these skills, teachers play a role in guiding children so that these skills can be enhanced along with their age and developmental stage. However, the application of problem-solving skills in learning activities has become a challenge for teachers to implement because there are no specific reference sources that can be used as a guide. This is also supported by the findings of a needs analysis where there is a need to develop a problem-solving framework that focuses on problem-solving steps using non-digital games. The problem-solving framework has been developed and needs to be evaluated for its usability in the usability evaluation phase using the Fuzzy Delphi Method. It aims to measure the usability and suitability of the non-digital game-based problem-solving framework that has been developed in the design and development phase. 25 preschool teachers were selected as experts to provide feedback through a questionnaire. The findings show that all experts in this phase agree that all main components, elements in the main components, and the priority flow for each element of the problem-solving framework have achieved an appropriate status and show a high consensus on the usability of the problem-solving framework that has been developed. Therefore, the problem-solving framework can be used by preschool teachers as a specific guide in implementing problem-solving activities using non-digital game

Analysis of self-hisbah factors on moral appreciation among Muslim secondary school students in Malaysia : Fuzzy Delphi method application

The issue of moral deterioration among secondary school students still transpires due to the lack of moral appreciation among them. It is caused by the practice of self-hisbah, which is not attended in an istiqamah (steadfast) manner. The factor of self-hisbah potentially impacts the appreciation of the morals of Muslim students. This research aimed to analyse the self-hisbah factor by examining the expert consensus on the elements found in the self-hisbah factor. The researchers chose elements of the hisbah of heart and soul, hisbah of lust, and hisbah of behaviour. This study employed a quantitative approach that surveyed the views and evaluations of 14 experts selected by purposive sampling. These experts evaluated three (3) elements and twenty (20) items included in the Model of Moral Appreciation of Muslim secondary students. The researchers analysed the obtained data using the Fuzzy Delphi method. The analysis considered the triangular Fuzzy Numbers and the ranking of elements obtained through Defuzzification. The study data confirmed that the response and expert consensus on all elements were good. In essence, expert consensus exceeded 75%, and almost all threshold values ’d’ met consensus conditions. This analysis contributes to the theory of hisbah. Internal hisbah signifies the power to act emerges from oneself due to a process of self-evaluation known as hisbah. The practice of self-hisbah delivers a person who is always disciplined and strives to do good and refrain from doing evil in his daily life as a student. This theory is pertinent to be included in the Model of Moral Appreciation of Muslim Students’ secondary schools in Malaysia. A quantitative study is germane to be conducted on secondary school students throughout Malaysia to examine the usability of the model