A principal topology obtained from uninorms

summary:We obtain a principal topology and some related results. We also give some hints of possible applications. Some mathematical systems are both lattice and topological space. We show that a topology defined on the any bounded lattice is definable in terms of uninorms. Also, we see that these topologies satisfy the condition of the principal topology. These topologies can not be metrizable except for the discrete metric case. We show an equivalence relation on the class of uninorms on a bounded lattice based on equality of the topologies induced by uninorms

A T-partial order obtained from T-norms

summary:A partial order on a bounded lattice $L$ is called t-order if it is defined by means of the t-norm on $L$. It is obtained that for a t-norm on a bounded lattice $L$ the relation $a\preceq_{T}b$ iff $a=T(x,b)$ for some $x\in L$ is a partial order. The goal of the paper is to determine some conditions such that the new partial order induces a bounded lattice on the subset of all idempotent elements of $L$ and a complete lattice on the subset $A$ of all elements of $L$ which are the supremum of a subset of atoms

Generating methods for principal topologies on bounded lattices

summary:In this paper, some generating methods for principal topology are introduced by means of some logical operators such as uninorms and triangular norms and their properties are investigated. Defining a pre-order obtained from the closure operator, the properties of the pre-order are studied

An extension method for t-norms on subintervals to t-norms on bounded lattices

summary:In this paper, a construction method on a bounded lattice obtained from a given t-norm on a subinterval of the bounded lattice is presented. The supremum distributivity of the constructed t-norm by the mentioned method is investigated under some special conditions. It is shown by an example that the extended t-norm on $L$ from the t-norm on a subinterval of $L$ need not be a supremum-distributive t-norm. Moreover, some relationships between the mentioned construction method and the other construction methods in the literature are presented

Notes on locally internal uninorm on bounded lattices

summary:In the study, we introduce the definition of a locally internal uninorm on an arbitrary bounded lattice $L$. We examine some properties of an idempotent and locally internal uninorm on an arbitrary bounded latice $L$, and investigate relationship between these operators. Moreover, some illustrative examples are added to show the connection between idempotent and locally internal uninorm

The effect of low molecular weight heparin on salvaging the zone of stasis in an experimental burn model

Background/aim: Multiple zones of injuries are formed after burns, consisting of a zone of coagulative necrosis, a zone of hyperemia, and a zone of stasis, in which progressive microcirculatory thrombosis leads to degeneration and deepening of the wound. We used an experimental rat comb burn model to test the hypothesis that use of low molecular weight heparin (LMWH) may save the zone of stasis. Materials and methods: Adult female rats were randomly divided two groups: the LMWH group (n = 8) rats received subcutaneous LMWH injections, while the saline group (n = 8) rats were injected with the same volume of saline solution by the same route. The zone of stasis was evaluated macroscopically and histologically, and functional capillary density was evaluated. Results: Histological assessments revealed higher macrophage numbers and PML density, fibroblast proliferation, and angiogenesis in the LMWH group than in the saline group. Functional capillary density measurement in the stasis zones revealed no significant difference between the two groups in the first 4 days, although a significant difference in favor of the LMW group was observed in the last 3 days. Conclusion: The results of this experimental study show that LMWH is effective in saving the zone of stasis