منابع مشابه
Similarity as Nearness: Information Quanta, Approximation Spaces and Nearness Structures
The present paper investigates approximation spaces in the context of topological structures which axiomatise the notion of nearness. Starting with the framework of information quanta which distinguishes two levels of information structures, namely property systems (the first level) and information quantum relational systems (the second level), we shall introduce the notion of Pawlak’s property...
متن کاملNearness and uniform convergence
Nearness (a fuzzy nearness) is a fuzzy relation that can be used to model various grades of “being close” in a linear space. We study the uniform convergence of a sequence of functions with values in a space equipped with a nearness relation. The uniform convergence for the mappings into a space with a fuzzy nearness is defined and it is shown that a theorem similar to Moore-Osgood theorem for ...
متن کاملThe Metric Nearness Problem
Metric nearness refers to the problem of optimally restoring metric properties to distance measurements that happen to be non-metric due to measurement errors or otherwise. Metric data can be important in various settings, for example in clustering, classification, metric-based indexing, query processing and graph theoretic approximation algorithms. This paper formulates and solves the metric n...
متن کاملContextualized Search by Nearness
The spatial expression “near” describes proximity and is frequently used for web search such as “gas stations near the old market”. What is “near” depends on the context and I investigate how a context dependent model for “near” can be formulated. For doing so, I investigate the following questions: (i) what is the relevant contextual information for “near”? (ii) how does the identified informa...
متن کاملNearness relations and topology
J. Dobrakovová and the author in [7] introduced the relation of nearness in Banach space. In this paper we will go on investigating the nearness relation in a linear space with a countable vector base, focusing the results to topological properties of such relations.
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ژورنال
عنوان ژورنال: Advances in Pure Mathematics
سال: 2014
ISSN: 2160-0368,2160-0384
DOI: 10.4236/apm.2014.411070