We prove addition and subspace theorems for asymptotic large inductive dimension. We investigate a transfinite extension of this dimension and show that it is trivial. 0. Asymptotic dimension asdim of a metric space was defined by Gromov for studying asymptotic invariants of discrete groups [1]. This dimension can be considered as asymptotic analogue of the Lebesgue covering dimension dim. Dran...

We consider unital simple inductive limits of generalized dimension drop C∗-algebras They are so-called ASH-algebras and include all unital simple AH-algebras and all dimension drop C∗-algebras. Suppose that A is one of these C∗-algebras. We show that A ⊗ Q has tracial rank no more than one, where Q is the rational UHF-algebra. As a consequence, we obtain the following classification result: Le...

this paper evaluates and ranks the temporal dimensions, known as fourth dimension of urban design, of a number of places in a city by topsis method. topsis method is technique for order preference by similarity to ideal solution. topsis is one of the renowned methods for classical multi-criteria decision-making (mcdm) problems that defines the positive ideal solution and negative ideal solution...

An inductive approach for learning fuzzy relational rules is described. Fuzzy relational rules are rules in which fuzzy relations in the antecedent parts of the rules are allowed. These rules allow us to use an extended model of rule with a greather capability to represent knowledge in a similar human way, but with an additional complexity in the search process.

Nested Generalized Exemplar (NGE) theory is an incremental form of inductive learning from examples. This paper presents a Fuzzy NGE learning system which induces fuzzy hypotheses from a set of examples described by fuzzy attributes and a crisp class. It presents and discusses the main concepts which supported the development of this system. An empirical evaluation of the FNGE prototype system ...