in this paper, we discuss the equivalent conditions of pretopological and topological $l$-fuzzy q-convergence structures and define $t_{0},~t_{1},~t_{2}$-separation axioms in $l$-fuzzy q-convergence space. {furthermore, $l$-ordered q-convergence structure is introduced and its relation with $l$-fuzzy q-convergence structure is studied in a categorical sense}.

n this paper, we consider continuity properties(especially, regularity, also viewed as an approximation property) for $%mathcal{p}_{0}(x)$-valued set multifunctions ($x$ being a linear,topological space), in order to obtain egoroff and lusin type theorems forset multifunctions in the vietoris hypertopology. some mathematicalapplications are established and several physical implications of thema...

image retrieval is an important research field which has received great attention in the last decades. in this paper, we present an approach for the image retrieval based on the combination of text-based and content-based features. for text-based features, keywords and for content-based features, color and texture features have been used. query in this system contains some keywords and an input...

Let $H$ and $K$ be compact subgroups of locally compact group $G$. By considering the double coset space $Ksetminus G/H$, which equipped with an $N$-strongly quasi invariant measure $mu$, for $1leq pleq +infty$, we make a norm decreasing linear map from $L^p(G)$ onto $L^p(Ksetminus G/H,mu)$ and demonstrate that it may be identified with a quotient space of $L^p(G)$. In addition, we illustrate t...

The way we deal with space in many everyday situations is on a qualitative basis, allowing for imprecision in spatial descriptions when we interact with each other. This is often achieved by specifying the spatial relations between the objects or regions that we talk about. In artificial intelligence, a variety of formalisms have been developed that deal with space on the basis of relations bet...

the glass transition temperature of several pvac(1)-b-poly(ma-co-mma) (2) terpolymers with different fractions of methyl acrylate (ma) and methyl methacrylate (mma) repeating units in random copolymer (block 2) were calculated with barton, kwei and topological equations. the calculation was on the basis of the correlation between the fraction of repeating units in random copolymers and theoreti...

The goal of this research is to develop a 3D topological structure with validation functionality and a conversion function. Based on this research question, some sub questions have been defined and a research methodology. The outline of this research is elaborated in chapter 1. The first use of topology has been attributed to Euler in 1736, since then, topology has evolved in mathematics but al...

let $g$ be a connected graph, and let $d[g]$ denote the double graph of $g$. in this paper, we first derive closed-form formulas for different distance based topological indices for $d[g]$ in terms of that of $g$. finally, as illustration examples, for several special kind of graphs, such as, the complete graph, the path, the cycle, etc., the explicit formulas for some distance based topologica...