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Keywords = alpha-cut theory

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15 pages, 1386 KB  
Article
A Novel Approach of Fuzzy Control Chart with Fuzzy Process Capability Indices Using Alpha Cut Triangular Fuzzy Number
by Mohammad Ahmad and Weihu Cheng
Mathematics 2022, 10(19), 3572; https://doi.org/10.3390/math10193572 - 30 Sep 2022
Cited by 17 | Viewed by 2220
Abstract
Statistical Quality Control is a valuable strategy that applies to the statistical technique for monitoring a manufacturing system under particular situations. On the other hand, the fuzzy set theory is an ideal instrument to cope with an unclear situation. The existing studies are [...] Read more.
Statistical Quality Control is a valuable strategy that applies to the statistical technique for monitoring a manufacturing system under particular situations. On the other hand, the fuzzy set theory is an ideal instrument to cope with an unclear situation. The existing studies are restricted, and there is still mystery behind the unclear data. This paper deals with technique: namely, the fuzzy control chart based on fuzzy process capability indices (FCPI) using triangular fuzzy numbers (TFNs). Alpha cut theory is applied in statistical quality control for fuzzy process control industrial application. This is a five-phase study that deals with the control chart using capability indices. The numerical example is also performed using the proposed technique. This paper would help to better assess/understand the manufacturing system data and would explore the application of the fuzzy control techniques. Full article
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10 pages, 551 KB  
Brief Report
Adaptation and Validation of the Malay Version of the SAVE-9 Viral Epidemic Anxiety Scale for Healthcare Workers
by Fatin Syafiqah Wasimin, Sean Chern Choong Thum, Mathias Wen Leh Tseu, Assis Kamu, Chong Mun Ho, Nicholas Tze Ping Pang, Seockhoon Chung and Walton Wider
Int. J. Environ. Res. Public Health 2022, 19(17), 10673; https://doi.org/10.3390/ijerph191710673 - 27 Aug 2022
Cited by 3 | Viewed by 2466
Abstract
Viral epidemics have surfaced frequently over the past quarter-century, with multiple manifestations of psychological distress. This study sought to establish the psychometric properties of the Malay version of SAVE-9 among healthcare workers. A total of 203 healthcare workers across Malaysia participated in the [...] Read more.
Viral epidemics have surfaced frequently over the past quarter-century, with multiple manifestations of psychological distress. This study sought to establish the psychometric properties of the Malay version of SAVE-9 among healthcare workers. A total of 203 healthcare workers across Malaysia participated in the research. The Malay version of SAVE-9 was translated and back-translated using the WHO instrument validation protocols. Classical Test Theory (CTT) and Rasch analysis were used to assess the validity and reliability of the Malay version of the SAVE-9 scale. The analysis was run using IBM SPSS 26.0 and JAPS. Cronbach’s alpha was used to measure the internal consistency of SAVE-9, which was found to be satisfactory (Cronbach’s α = 0.795). The correlations between the SAVE-9 and other measured scales (GAD-7 and PHQ-9) were statistically significant. A score of 22 was defined as a cut-off point with good sensitivity (0.578) and specificity (0.165). The Malay version of the Stress and Anxiety to Viral Epidemics-9 (SAVE-9) scale is valid and reliable after testing among healthcare workers. It is psychometrically suitable to be used in assessing healthcare workers’ stress and anxiety specific to viral epidemics. Full article
(This article belongs to the Special Issue Instruments for Measuring Health)
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13 pages, 460 KB  
Article
A Novel Approach to Solve Fully Fuzzy Linear Programming Problems with Modified Triangular Fuzzy Numbers
by Saeid Jafarzadeh Ghoushchi, Elnaz Osgooei, Gholamreza Haseli and Hana Tomaskova
Mathematics 2021, 9(22), 2937; https://doi.org/10.3390/math9222937 - 18 Nov 2021
Cited by 20 | Viewed by 3463
Abstract
Recently, new methods have been recommended to solve fully fuzzy linear programming (FFLP) issues. Likewise, the present study examines a new approach to solve FFLP issues through fuzzy decision parameters and variables using triangular fuzzy numbers. The strategy, which is based on alpha-cut [...] Read more.
Recently, new methods have been recommended to solve fully fuzzy linear programming (FFLP) issues. Likewise, the present study examines a new approach to solve FFLP issues through fuzzy decision parameters and variables using triangular fuzzy numbers. The strategy, which is based on alpha-cut theory and modified triangular fuzzy numbers, is suggested to obtain the optimal fully fuzzy solution for real-world problems. In this method, the problem is considered as a fully fuzzy problem and then is solved by applying the new definition presented for the triangular fuzzy number to optimize decision variables and the objective function. Several numerical examples are solved to illustrate the above method. Full article
(This article belongs to the Special Issue Operations Research and Optimization)
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35 pages, 13274 KB  
Conference Report
Waking Up In the Morning (WUIM): A Smart Learning Environment for Students with Learning Difficulties
by Polyxeni Kaimara, Ioannis Deliyannis, Andreas Oikonomou and Emmanuel Fokides
Technologies 2021, 9(3), 50; https://doi.org/10.3390/technologies9030050 - 16 Jul 2021
Cited by 7 | Viewed by 7696
Abstract
Effectiveness, efficiency, scalability, autonomy, engagement, flexibility, adaptiveness, personalization, conversationality, reflectiveness, innovation, and self-organization are some of the fundamental features of smart environments. Smart environments are considered a good learning practice for formal and informal education; however, it is important to point out the [...] Read more.
Effectiveness, efficiency, scalability, autonomy, engagement, flexibility, adaptiveness, personalization, conversationality, reflectiveness, innovation, and self-organization are some of the fundamental features of smart environments. Smart environments are considered a good learning practice for formal and informal education; however, it is important to point out the pedagogical approaches on which they are based. Smart learning environments (SLEs) underline the flexibility of eclectic pedagogy that places students at the center of any educational process and takes into account the diversity in classrooms. Thus, SLEs incorporate pedagogical principles derived from (1) traditional learning theories, e.g., behaviorism and constructivism, (2) contemporary pedagogical philosophy, e.g., differentiated teaching and universal design for learning, (3) theories that provide specific instructions for educational design, e.g., cognitive theory of multimedia learning and gamification of learning. The innovative concept of transmedia learning is an eclectic pedagogical approach, which in addition to learning principles, blends all available media so far. WUIM is a transmedia program for training independent living skills aimed primarily at children with learning disabilities, which emerged from the composition of pedagogical theories, traditional educational materials and cutting-edge technologies such as augmented and virtual reality, and art-based production methodologies. This paper outlines the development of WUIM, from the prototyping presented at the 4th International Conference in Creative Writing (2019) to the Alpha and Beta stages, including user and expert evaluations. Full article
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20 pages, 1105 KB  
Article
A Generalization of Trapezoidal Fuzzy Numbers Based on Modal Interval Theory
by Lambert Jorba and Romà Adillon
Symmetry 2017, 9(10), 198; https://doi.org/10.3390/sym9100198 - 21 Sep 2017
Cited by 12 | Viewed by 4427
Abstract
We propose a generalization of trapezoidal fuzzy numbers based on modal interval theory, which we name “modal interval trapezoidal fuzzy numbers”. In this generalization, we accept that the alpha cuts associated with a trapezoidal fuzzy number can be modal intervals, also allowing that [...] Read more.
We propose a generalization of trapezoidal fuzzy numbers based on modal interval theory, which we name “modal interval trapezoidal fuzzy numbers”. In this generalization, we accept that the alpha cuts associated with a trapezoidal fuzzy number can be modal intervals, also allowing that two interval modalities can be associated with a trapezoidal fuzzy number. In this context, it is difficult to maintain the traditional graphic representation of trapezoidal fuzzy numbers and we must use the interval plane in order to represent our modal interval trapezoidal fuzzy numbers graphically. Using this representation, we can correctly reflect the modality of the alpha cuts. We define some concepts from modal interval analysis and we study some of the related properties and structures, proving, among other things, that the inclusion relation provides a lattice structure on this set. We will also provide a semantic interpretation deduced from the modal interval extensions of real continuous functions and the semantic modal interval theorem. The application of modal intervals in the field of fuzzy numbers also provides a new perspective on and new applications of fuzzy numbers. Full article
(This article belongs to the Special Issue Fuzzy Sets Theory and Its Applications)
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