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In this paper we have introduced the notion of distance between two single valued neutrosophic sets and studied its properties. We have also defined several similarity measures between them and investigated their characteristics. A measure of entropy of a single valued neutrosophic set has also been introduced.

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Multiple lines of evidence indicate that amyloid beta (Ab) peptide is responsible for the pathological devastation caused in Alzheimer's disease (AD). Ab aggregation species predominantly contribute to multifaceted toxicity observed in neuronal cells including generation of reactive oxygen species (ROS), mitochondrial dysfunction, interfering with synaptic signaling, and activation of premature apoptosis. Herein, we report a natural product berberine-derived (Ber-D) multifunctional inhibitor to ameliorate in cellulo multifaceted toxicity of AD. The structural attributes of polyphenolic Ber-D have contributed to its efficient Cu chelation and arresting the redox cycle to prevent the generation of ROS and rescue biomacromolecules from oxidative damage. Ber-D inhibits metal-dependent and -independent Ab aggregation, which is supported by in silico studies. Ber-D treatment averts mitochondrial dysfunction and corresponding neuronal toxicity contributing to premature apoptosis. These key multifunctional attributes make Ber-D a potential therapeutic candidate to ameliorate multifaceted Ab toxicity in AD.