|
Abstract
|
Recently, Zhang and Shang introduced modifications to the concept of fractional
entropy and proved some properties based on the inverse Mittag-Leffler function
(MLF). The Deng entropy serves as a valuable measure in the Dempster-Shafer
evidence theory (DST) to tackle uncertainty. In this study, we extend the fractional
Deng entropy measure, introducing two distinct versions:We call this new measure the extended fractional Deng entropy, EFDEn. Additionally, we apply a similar approach to the fractional Deng extropy measure, We call this new measure the extended fractional Deng extropy, EFDEx. These two measures are complementary, leading to
provide a deeper analysis of known and unknown information. Subsequently, we
conduct a comparative analysis of these measures within the DST framework. We
also propose the decomposable fractional Deng entropy, an extension of the
decomposable entropy for Dempster–Shafer evidence theory, which effectively
decomposes fractional Deng entropy. Finally, we delve into a pattern recognition
classification problem to highlight the importance of these new measures.
|