The original definition of a topological space given by Hausdorff used neighborhood systems. Lattice-valued maps appear in this context when you identify a topology with a monoid in the Kleisli category of the filter monad on SET. H?hle’s notion of a lattice-valued topology [2] uses the same idea and it’s inspired in the classical lattice-valued topologies. Ltopological spaces are motivated by ...

The paper proposes a robust approach to automatic segmentation of leukocyte's nucleus from microscopic blood smear images under normal as well as noisy environment by employing a new exponential intuitionistic fuzzy divergence based thresholding technique. The algorithm minimizes the divergence between the actual image and the ideally thresholded image to search for the final threshold. A new d...

An iterative fuzzy clustering method is proposed to partition a set of multivariate binary observation vectors located at neighboring geographic sites. The method described here applies in a binary setup a recently proposed algorithm, called Neighborhood EM, which seeks a a partition that is both well clustered in the feature space and spatially regular [2]. This approach is derived from the EM...

Although the rough set and intuitionistic fuzzy set both capture the same notion, imprecision, studies on the combination of these two theories are rare. Rule extraction is an important task in a type of decision systems where condition attributes are taken as intuitionistic fuzzy values and those of decision attribute are crisp ones. To address this issue, this paper makes a contribution of th...

A new class of fuzzy stochastic optimization models—two-stage fuzzy stochastic programming with Value-at-Risk (FSP-VaR) criteria is built in this paper. Some properties of the two-stage FSP-VaR, such as value of perfect information (VPI), value of fuzzy random solution (VFRS), and bounds of the fuzzy random solution, are discussed. An Approximation Algorithm is proposed to compute the VaR by co...

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. ...

Abstract Pythagorean fuzzy sets (briefly, PFSs) were created as an upgrade to intuitionistic IFSs) which helped address some problems that IFSs couldn’t solve. The definition of q-rung orthopair q-ROFS) is then declared generalize and solve PFS IFS failures. Using the concept PF $$\beta $$ β -neighborhood, Zh...

In this paper, a novel method to generate fuzzy edges in medical images using the Type II fuzzy set theory is presented. Medical images are normally poorly illuminated and many edges are not visible properly, so construction of fuzzy edge image is a difficult task. Fuzzy edges are not the binary edges but it signifies the change in intensity levels of the image. The method is based on computati...

Reducing noise from the color images is a very active research scope in image processing. In this paper, a modified fuzzy based image filtering algorithm is proposed for reducing impulse noise. This paper presents a new fuzzy filter for the removal Impulse noise in color images. For dealing with the Impulse noise, an algorithm is developed to search for a set of uncorrupted pixels in the neighb...

BACKGROUND Socioeconomic, demographic, and geographic factors are known determinants of stroke and myocardial infarction (MI) risk. Clustering of these factors in neighborhoods needs to be taken into consideration during planning, prioritization and implementation of health programs intended to reduce disparities. Given the complex and multidimensional nature of these factors, multivariate meth...