The notions of union-soft semigroups, union-soft l-ideals, and union-soft r-ideals are introduced, and related properties are investigated. Characterizations of a union-soft semigroup, a union-soft l-ideal, and a union-soft r-ideal are provided. The concepts of union-soft products and union-soft semiprime soft sets are introduced, and their properties related to union-soft l-ideals and union-so...

The accelerated integration of Renewable Energy Resources (RES) and Dispersed Generations (DGs) has contributed to big shifts in the power grid. incorporation home-scale electricity generators (HSEGs) into Neighborhood Networks is considered development more stable efficient smart grids. implementation this system includes an integrated control along with a electronic converter . In paper, elec...

neighborhood attachment is closely related to concrete and abstract conceptions that set the scene for a variety of interactions among the residents. it is on the basis of social-physical location which happens over time. neighborhood attachment also enhances the possibility of residents’ social participation in urban neighborhoods and has a bilateral relationship with residents’ satisfaction. ...

The BLAST search engine was published and released in 1990. It is a heuristic that uses the idea of a neighborhood to find seed matches that are then extended. This approach came from work that this author was doing to lever these ideas to arrive at a deterministic algorithm with a characterized and superior time complexity. The resulting O(enlogn) expected-time algorithm for finding all e-matc...

Since the 1980s, income inequality and residential segregation have increased in industrialized and developing countries. There is a body of literature that hypothesizes and examines the relationship between inequality and segregation on health. However, none of these studies constructs a mathematical model to explain these complex linkages. This project builds a theoretical behavioral model th...

We present a novel method that provides an accurate and precise estimate of the length of the boundary (perimeter) of an object, by taking into account gray-levels on the boundary of the digitization of the same object. Assuming a model where pixel intensity is proportional to the coverage of a pixel, we show that the presented method provides error-free measurements of the length of straight b...

The theory of generalized neighborhood system-based approximation operators plays an important role in the theory of generalized rough sets since it includes both the neighborhood-based approximation operators and the covering-based approximation operators as its special circumstances. The theory of reduction is one of the most significant directions in rough sets. In this work, the reduction o...

The main purpose of this paper is to introduce a concept of$L$-fuzzifying topological groups (here $L$ is a completelydistributive lattice) and discuss some of their basic properties andthe structures. We prove that its corresponding $L$-fuzzifyingneighborhood structure is translation invariant. A characterizationof such topological groups in terms of the corresponding$L$-fuzzifying neighborhoo...

This paper deals with an elliptic equation involving Paneitz type operators on compact Riemannian manifolds with concave-convex nonlinearities and a real parameter. Nonlocal and multiple existence results are established. Characteristic values of the real parameter are introduced and their role in the change of the energy sign and the existence of positive solutions are highlighted.