منابع مشابه
Nearness in Approximation Spaces
The problem considered in this paper is the extension of an approximation space to include a nearness relation. Approximation spaces were introduced by Zdzis law Pawlak during the early 1980s as frameworks for classifying objects by means of attributes (features). Pawlak introduced approximations as a means of approximating one set of objects with another set of objects using an indiscernibilit...
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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...
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متن کاملDevelopable Spaces and Nearness Structures
Necessary and sufficient conditions on a nearness structure are provided for which the underlying topology is developable. It is also shown that a topology is developable if and only if it admits a compatible nearness structure with a countable base. Finally it is shown that a topological space is embeddable in a complete Moore space if and only if it admits a compatible nearness structure sati...
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ژورنال
عنوان ژورنال: General Topology and its Applications
سال: 1978
ISSN: 0016-660X
DOI: 10.1016/0016-660x(78)90042-9