Soft Intersection Research Articles

On normal soft intersection groups

In this study, we define normalizer soft sets and normal soft set on a groupoid. Then, using these definitions, we obtain some new results on the normal soft intersection groups.

A new view to ring theory via soft union rings, ideals and bi-ideals

In this paper, by defining soft intersection–union product, we make a new approach to the classical ring theory via soft set theory, with the concept of soft union rings, ideals and bi-ideals. Moreover, we characterize regular, regular duo, intra-regular and strongly regular rings by soft union rings and ideals.

Soft intersection near-rings with its applications

In this paper, we first define soft intersection near-ring (soft int near-ring) by using intersection operation of sets. This new notion can be regarded as a bridge among soft set theory, set theory and near-ring theory, since it shows how a soft set effects on a near-ring structure by means of intersection and inclusion of sets. We then derive its basic properties with illustrative examples. Moreover, we obtain some analog of classical near-ring theoretic concepts for soft int near-ring and give the applications of soft int near-ring to near-ring theory.

Soft int-group and its applications to group theory

In this paper, we define a soft intersection group (soft int-group) on a soft set. This new concept functions as a bridge among soft set theory, set theory and group theory and shows the effect of soft sets on a group structure in the sense of intersection and inclusion of sets. We then derive the basic properties of soft int-groups and give its applications to group theory.

Study on Stability for Intersection of Deep Soft Rock Roadway

With the depth increasing continuously, more complicated of geological conditions, will make intersection in deep soft rock roadway is very difficult to support. In order to solve the intersection problem of difficult to support, combined with the third levels of the Fifth Coal Mine of Hemei, the coupling supporting design—anchor-mesh-cable + truss to control stability of crossing point—is proposed. Based software of FLAC3D, simulate the program applicable in deep soft rock roadway intersection. Application results show that the coupling support technology of anchor-mesh-cable + truss can effectively control the deformation of intersection in deep soft rock roadway.

Soft Set Theory Based on Its Extension

In this paper, we point out a defect that the definitions of soft subset and soft intersection in Maji's paper are partial definitions, and then we introduce extension of soft set to redefine and simplify operations between soft sets. At last, we obtain some algebraic properties of new soft operations.

Combining interface core and whole interface descriptors in postscan processing of protein‐protein docking models

Computational protein-protein docking scans commonly produce correct and nearly correct interaction models, but sometimes these models are ranked low. We present here postscan processing procedures that dramatically enhance the distinction between nearly correct and false predictions. The procedures employ propensity descriptors calculated for the interface core, an interface-core clusters count, solvation energy, and a geometric-electrostatic-hydrophobic complementarity score. The various descriptors rank high different selections of false models (shuffling effect), and therefore, are used as Boolean yes/no classifiers in soft intersection filters, which eliminate large proportions of false models. Furthermore, the standardized descriptors are used in new scoring functions that highlight nearly correct models (NCMs). All the tests are performed on unbound docking models produced with MolFit without use of external data. We find that the discrimination between nearly correct and false models by the various descriptors is class dependent; hence, our postscan processing is class specific. The filters reduce the number of putative models from 10,726, 12,517, and 11,054 to 758, 157, and 1218 for enzyme-inhibitor, antibody-antigen, and nonclassified systems. When combined with the new scoring functions, they improve the average rank of the highest ranking NCMs from 673 to 122. Application to 23 CAPRI targets demonstrates the effectiveness of the postscan procedures in cases where external information is used in the production of the putative models. Our new per-molecule residue propensity descriptors show that interacting interfaces are enriched with high propensity residues except for antigenic sites, which resemble more the noninteracting regions of protein surfaces.

On Fuzzy Soft Sets

We further contribute to the properties of fuzzy soft sets as defined and studied in the work of Maji et al. ( 2001), Roy and Maji (2007), and Yang et al. (2007) and support them with examples and counterexamples. We improve Proposition 3.3 by Maji et al., (2001). Finally we define arbitrary fuzzy soft union and fuzzy soft intersection and prove DeMorgan Inclusions and DeMorgan Laws in Fuzzy Soft Set Theory.