Topological Neutrosophic Ideal Theory Neutrosophic Local Function and Generated Neutrosophic Topology

نویسندگان

  • A. A. Salama
  • Mohamed Eisa
  • Florentin Smarandache
چکیده

Department of Mathematics and Computer Science, Faculty of Sciences, Port Said University, Egypt * [email protected] **Department of Computer Science, Port Said University, Egypt [email protected] ***Department of Mathematics, University of New Mexico Gallup, NM, USA [email protected] Abstract: In this paper we introduce the notion of ideals on neutrosophic set which is considered as a generalization of fuzzy and fuzzy intuitionistic ideals studies in [9,11] , the important topological neutrosophic ideals has been given in [4]. The concept of neutrosophic local function is also introduced for a neutrosophic topological space. These concepts are discussed with a view to find new neutrosophic topology from the original one in [8]. The basic structure, especially a basis for such generated neutrosophic topologies and several relations between different topological neutrosophic ideals and neutrosophic topologies are also studied here. Possible application to GIS topology rules are touched upon.

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تاریخ انتشار 2013