In this paper a binary relation between L-sets, called attachment, is defined by means of a suitable family of completely coprime filters in L. Examples are given using several kinds of lattice-ordered algebras and a class of attachments is determined whose elements generalize Pu-Liu’s quasi-coincidence relation. Mapping any L-set on X to the set of the attached L-points one gets a frame map fr...

The aim of this paper is to introduce a new notion of L-fuzzy compactness in L-fuzzy topological spaces, which is a generalization of Lowen’s fuzzy compactness in L-topological spaces. The union of two L-fuzzy compact L-sets is L-fuzzy compact. The intersection of an L-fuzzy compact L-set G and an L-set H with T(H) = ⊤ is L-fuzzy compact. The L-fuzzy continuous image of an L-fuzzy compact L-set...

Let L be a propositional language with standard Boolean connectives plus two modalities: an S4-ish topological modality and a temporal modality , understood as ‘next’. We extend the topological semantic for S4 to a semantics for the language L by interpreting L in dynamic topological systems, i.e. ordered pairs 〈X, f 〉, where X is a topological space and f is a continuous function on X. Artemov...

Objective(s): The study is aimed to elucidate the impact of antioxidant, anti-inflammatory and antifibrosis properties of Lactobacillus acidophilus (L. acidophilus) on liver and colon in ethephon treated rats through measuring Pro- inflammatory cytokines, oxidative stress index, lysosomal cathepsin-D enzyme activity and fibrosis markers.Materials and ...

LetM , M ′ be compact oriented 3-manifolds and L a link inM ′ whose exterior has positive Gromov norm. We prove that the topological types of M and (M , L) determine the degree of a strongly cyclic covering p : M → M , branched over L. Moreover, if M ′ is an homology sphere then these topological types determine also the covering up to conjugacy.

‎in this article we introduce $mu$-filtered fuzzy module with a family of fuzzy submodules.  it shows the relation between $mu$-filtered fuzzy modules and crisp filtered modules by level sets. we investigate fuzzy topology on the $mu$-filtered fuzzy module and apply that to introduce fuzzy completion. finally we extend krull's intersection theorem of fuzzy ideals by using concept $mu$-adic...

Dynamic Topological Logic (DT L) is a combination of S4, under its topological interpretation, and the temporal logic LT L interpreted over the natural numbers. DT L is used to reason about properties of dynamical systems based on topological spaces. Semantics are given by dynamic topological models, which are tuples 〈X, T , f, V 〉, where 〈X, T 〉 is a topological space, f a function on X and V ...

In this paper we define gradation of RS-compactness and S*-closed spaces in L-topological spaces.We generalize the degrizations of RS-compactness and S*-closedness to the L-topological space and give the positions of them under weak forms of L-continuity. 2010 AMS Classification: 54A40, 06D72