Some Intuitionistic Topological Notions of Intuitionistic Region, Possible Application to GIS Topological Rules

Authors: A. A. Salama, Mohamed Abdelfattah, S. A. Alblowi

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.

Comments: 13 Pages.

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[v1] 2014-06-24 18:39:44

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