RESUMEN
The purpose of this paper is to propose a new Pythagorean fuzzy entropy for Pythagorean fuzzy sets, which is a continuation of the Pythagorean fuzzy entropy of intuitionistic sets. The Pythagorean fuzzy set continues the intuitionistic fuzzy set with the additional advantage that it is well equipped to overcome its imperfections. Its entropy determines the quantity of information in the Pythagorean fuzzy set. Thus, the proposed entropy provides a new flexible tool that is particularly useful in complex multi-criteria problems where uncertain data and inaccurate information are considered. The performance of the introduced method is illustrated in a real-life case study, including a multi-criteria company selection problem. In this example, we provide a numerical illustration to distinguish the entropy measure proposed from some existing entropies used for Pythagorean fuzzy sets and intuitionistic fuzzy sets. Statistical illustrations show that the proposed entropy measures are reliable for demonstrating the degree of fuzziness of both Pythagorean fuzzy set (PFS) and intuitionistic fuzzy sets (IFS). In addition, a multi-criteria decision-making method complex proportional assessment (COPRAS) was also proposed with weights calculated based on the proposed new entropy measure. Finally, to validate the reliability of the results obtained using the proposed entropy, a comparative analysis was performed with a set of carefully selected reference methods containing other generally used entropy measurement methods. The illustrated numerical example proves that the calculation results of the proposed new method are similar to those of several other up-to-date methods.
RESUMEN
This study aimed to examine the relationship between the components of attentional control, phonological awareness, and working memory with reading. 209 students (109 females and 150 males with the mean age of 9 years) completed Integrated Visual and Auditory Continuous Performance Test, digit span subscale of WISC-IV, Reading Test, and Phonological Awareness Test. Using path analysis, the components of focus, response inhibition (prudence), vigilance, processing speed showed statistically direct effect on reading. The direct effect of phonological awareness on reading was statistically significant. Also, the effect of working memory on reading was not significant. The results could help to understand the roles of attentional control components in predicting reading ability.