Some Intuitionistic Topological Notions of Intuitionistic Region, Possible Application to GIS Topological Rules
• 2014
Publication Information
Authors
A. A. Salama1, Mohamed Abdelfattah2, S. A. Alblowi
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publication.type
International
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Abstract
In Geographical information systems (GIS) there is a need to model spatial regions with intuitionistic
boundary. In this paper, we generalize the topological ideals spaces to the notion of intuitionistic set; we construct the
basic fundamental concepts and properties of an intuitionistic spatial region. In addition, we introduce the notion of
ideals on intuitionistic set which is considered as a generalization of ideals studies in [4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14,
15, 16]. The important topological intuitionistic ideal has been given. The concept of intuitionistic local function is
also introduced for a intuitionistic topological space. These concepts are discussed with a view to find new
intuitionistic topology from the original one. The basic structure, especially a basis for such generated intuitionistic
topologies and several relations between different topological intuitionistic ideals are also studied here. Possible
application to GIS topology rules are touched upon
boundary. In this paper, we generalize the topological ideals spaces to the notion of intuitionistic set; we construct the
basic fundamental concepts and properties of an intuitionistic spatial region. In addition, we introduce the notion of
ideals on intuitionistic set which is considered as a generalization of ideals studies in [4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14,
15, 16]. The important topological intuitionistic ideal has been given. The concept of intuitionistic local function is
also introduced for a intuitionistic topological space. These concepts are discussed with a view to find new
intuitionistic topology from the original one. The basic structure, especially a basis for such generated intuitionistic
topologies and several relations between different topological intuitionistic ideals are also studied here. Possible
application to GIS topology rules are touched upon
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