in this paper we introduce a generalization of m-small modules and discuss about the torsion theory cogenerated by this kind of modules in category . we will use the structure of the radical of a module in  and get some suitable results about this class of modules. also the relation between injective hull in  and this kind of modules will be investigated in this article.   for a module  we show...

we prove a related fixed point theorem for n mappings which arenot necessarily continuous in n fuzzy metric spaces using an implicit relationone of them is a sequentially compact fuzzy metric space which generalizeresults of aliouche, et al. [2], rao et al. [14] and [15].

In this paper, we introduce a stationary M∞-fuzzy metric on the set C B(X), where M∞-fuzzy metric can be thought of as the degree of nearness between two fuzzy sets with respect to any positive real number and C B(X) is the class of fuzzy sets with nonempty bounded closed α-cut sets. Under the φ-contraction conditions, we give some common fixed point theorems for self-mappings in the space C B(X).

Throughout this lecture we will use affhull to denote the affine hull, linspace to be the linear space, charcone to denote the characteristic cone and convexhull to be the convex hull. Recall that P = {x | Ax ≤ b} is a polyhedron in Rn where A is a m× n matrix and b is a m× 1 matrix. An inequality aix ≤ bi in Ax ≤ b is an implicit equality if aix = bi ∀x ∈ P . Let I ⊆ {1, 2, . . . ,m} be the in...

The quantum space-time and the phase space of massive particles with Fuzzy Geometry structure investigated as the possible quantization formalism. In this model the state of nonrelativistic particle m corresponds to the element of fuzzy ordered set (Foset)-fuzzy point. Due to its partial ordering m space coordinate x acquires principal uncertainty σ x. It's shown that Fuzzy Mechanics (FM) in 1+...

This contribution, rstly, motivates the need for a new, indistin-guishability-based approach to fuzzy orderings 1]. The main part is devoted to the basic theory, especially constructions, representations, and properties of hulls. Moreover, a general approach to orderings of fuzzy sets is presented. The current work, however, already concentrates on applications in fuzzy control and decision mak...

In several familiar subcategories of the category Top of topological spaces and continuous maps, embeddings are not pushoutstable. But, an interesting feature, capturable in many categories, namely in categories B of topological spaces, is the following: ForM the class of all embeddings, the subclass of all pushout-stable M-morphisms (that is, of those M-morphisms whose pushout along an arbitra...

The anchor words algorithm performs provably efficient topic model inference by finding an approximate convex hull in a high-dimensional word co-occurrence space. However, the existing greedy algorithm often selects poor anchor words, reducing topic quality and interpretability. Rather than finding an approximate convex hull in a high-dimensional space, we propose to find an exact convex hull i...

We present a topological characterization for fuzzy regular languages: we show that there is a bijective correspondence between fuzzy regular languages and the set of all clopen fuzzy subsets with finite image in the induced fuzzy topological space of Stone space (Profinite space), and then we give a representation of closed fuzzy subsets in the induced fuzzy topological space via fuzzy regular...

We study transitivity conditions on the norm of JB∗-triples, C∗-algebras, JBalgebras, and their preduals. We show that, for the predual X of a JBW∗-triple, each one of the following conditions i) and ii) implies that X is a Hilbert space. i) The closed unit ball of X has some extreme point and the norm of X is convex transitive. ii) The set of all extreme points of the closed unit ball of X is ...