An application of complex neutrosophic sets to the theory of groups

In this article we introduce the concept of complex neutrosophıc subgroups (normal subgroups). We define the notion of alpha-cut of complex neutrosophıc set, give examples and study some of its related results. We also define the Cartesian product of complex neutrosophic subgroups. Furthermore, we introduce the concept of image and preimage of complex neutrosophic set and prove some of its properties

Modeling Influenced Criteria in Classifiers' Imbalanced Challenges Based on TrSS Bolstered by The Vague Nature of Neutrosophic Theory

Because of the advancements in technology, classification learning has become an essential activity in today's environment. Unfortunately, through the classification process, we noticed that the classifiers are unable to deal with the imbalanced data, which indicates there are many more instances (majority instances) in one class than in another. Identifying an appropriate classifier among the various candidates is a time-consuming and complex effort. Improper selection can hinder the classification model's ability to provide the right outcomes. Also, this operation requires preference among a set of alternatives by a set of criteria. Hence, multi-criteria decisionmaking (MCDM) methodology is the appropriate methodology can deploy in this problem. Accordingly, we applied MCDM and supported it through harnessing neurotrophic theory as motivators in uncertainty circumstances. Single value Neutrosophic sets (SVNSs) are applied as branch of Neutrosophic theory for evaluating and ranks classifiers and allows experts to select the best classifier So, to select the best classifier (alternative), we use MCDM method called MultiAttributive Ideal-Real Comparative Analysis (MAIRAC) and the criteria weight calculation method called Stepwise Weight Assessment Ratio Analysis (SWARA) where these methods consider singlevalue neutrosophic sets (SVNSs) to improve and boost these techniques in uncertain scenarios. All these methods are applied after modeling criteria and its sub-criteria through a novel technique is Tree Soft Sets (TrSS). Ultimately, the findings of leveraging these techniques indicated that the hybrid multi-criteria meta-learner (HML)-based classifier is the best classifier compared to the other compared models

Split chloramphenicol acetyl-transferase assay reveals self-ubiquitylation-dependent regulation of UBE3B

Split reporter protein-based genetic section systems are widely used to identify and characterize protein-protein interactions (PPI). Assembly of split markers that antagonize toxins, rather than required for synthesis of missing essential metabolites, facilitate the seeding of high density of cells and selective growth. Here we present adeveloped split chloramphenicol acetyltransferase (split-CAT) -based genetic selection system. The N-terminus fragment of CAT is fused downstream of the protein of interest and the C-terminus fragment is tethered upstream of a postulated protein partner. We demonstrate the system's advantages for the study of PPIs. Moreover, we show that co-expression of a functional ubiquitylation cascade where the target and ubiquitin are tethered to the split-CAT fragments results in ubiquitylation-dependent growth on selective media. The fact that proteins do not have to be purified from bacteria and the high sensitivity of the split-CAT reporter, enable the detection of challenging protein cascades and post-translation modifications. In addition, we demonstrate that the split- CAT system responds to small molecule inhibitors and molecular glues (GLUTACs). The absence of ubiquitylation-dependent degradation and deubiquitylation in E. coli significantly simplify the interpretation of the results. We demonstrate that the spit-CAT system provides a readout for the known self-ubiquitylation-dependent inactivation of NEDD4. Subsequently, we harnessed the system to explore if UBE3B, a HECT ligase not belonging to the Nedd4 subfamily, is also regulated by self-ubiquitylation. We found that self-ubiquitylation of UBE3B at residue K665 inactivates the enzyme in the E. coli system and in mammalian cells due to its oligomerization