Sufficiently Near Sets of Neighbourhoods
نویسنده
چکیده
The focus of this paper is on sets of neighbourhoods that are sufficiently near each other as yet another way to consider near sets. This study has important implications in M. Katětov’s approach to topologising a set. A pair of neighbourhoods of points are sufficiently near, provided that the C̆ech distance between the neighbourhoods is less than some number ε. Sets of neighbourhoods are sufficiently near, provided the C̆ech distance between the sets of neighbourhoods is less than some number ε.
منابع مشابه
Neighbourhoods, Classes and Near Sets
The article calls attention to the relationship between neighbourhoods and tolerance classes in the foundations of tolerance near sets. A particular form of tolerance relation is given by way of introduction to descriptively ε-near sets. Neighbourhoods and tolerance classes have practical applications in digital image analysis. Mathematics Subject Classification: 03E15, 11K55, 54E17, 54E40
متن کاملModification of Near Sets Theory
Most real life situations need some sort of approximation to fit mathematical models. The beauty of using topology in approximation is achieved via obtaining approximation for qualitative subsets without coding or using assumption. The aim of this paper is to introduce different approaches to near sets by using general relations and special neighbourhoods. Some fundamental properties and charac...
متن کاملGeneralized Conditioning in Neighbourhood Models
Sets of probability measures which form neighbourhoods of classical probability measures are studied. An application of Jeffrey’s rule of conditioning to forming neighbourhoods of probability measures is proposed. Neighbourhoods that are closed for generalized conditioning according to this rule are characterized. They are shown to be exactly convex and bi-elastic neighbourhoods.
متن کاملFeature Selection: Near Set Approach
The problem considered in this paper is the description of objects that are, in some sense, qualitatively near each other and the selection of features useful in classifying near objects. The term qualitatively near is used here to mean closeness of descriptions or distinctive characteristics of objects. The solution to this twofold problem is inspired by the work of Zdzis law Pawlak during the...
متن کاملAppraisal of compliance with land subdivision planning regulations in residential neighbourhoods
Although previous studies have attempted to address the challenge of land subdivision, there is still a scarcity in the literature on how the extent of conformity to land subdivision planning regulations may be statistically and spatially analyzed. This study, therefore, explores the extent to which residential developers comply with land subdivision planning regulations in Kenya, a case study ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2011