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In this paper the structure of some classes of neutrosophic crisp nearly open sets are investigated via topology and some applications are given. Finally we generalize the crisp topological and neutrosophic crisp studies to the notion of neutrosophic crisp set.
In this paper, we extend the neutrosophic crisp topological spaces into N–neutrosophic crisp topological spaces (Nnc-topological space). Moreover, we introduced new types of open and closed sets in N–neutrosophic crisp topological spaces. We also present Nncsemi (open) closed sets, Nnc-preopen (closed) sets and Nnc-α-open (closed) sets and investigate their basic properties.
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every idea tends to be neutralized and balanced by and ideas - as a state of equilibrium. In a classical way , , are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic).
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.
Abstract: Contributors to current issue (listed in papers' order): Mai Mohamed, Mohamed Abdel-Basset, Abdel Nasser H Zaied, Florentin Smarandache, Mridula Sarkar, Samir Dey, Tapan Kumar Roy, A. A. Salama, Hewayda ElGhawalby, Shimaa Fathi Ali, T. Chalapathi, Kiran Kumar, Mehmet Sahin, Necati Olgun, Vakkas Ulucay, Abdullah Kargin, Tanushree Mitra Basu, Shyamal Kumar Mondal, Durga Banerjee, Bibhas C. Giri, Surapati Pramanik, Partha Pratim Dey, Mona Gamal Gafar, Ibrahim El-Henawy. Papers in current issue (listed in papers' order): Neutrosophic Integer Programming Problem; Multi-Objective Structural Design Optimization using Neutrosophic Goal Programming Technique; Topological Manifold Space via Neutrosophic Crisp Set Theory; Neutrosophic Graphs of Finite Groups; A New Similarity Measure Based on Falsity Value between Single Valued Neutrosophic Sets Based on the Centroid Points of Transformed Single Valued Neutrosophic Values with Applications to Pattern Recognition; Multi-Criteria Assignment Techniques in Multi-Dimensional Neutrosophic Soft Set Theory; GRA for Multi Attribute Decision Making in Neutrosophic Cubic Set Environment; Bipolar Neutrosophic Projection Based Models for Solving Multi-Attribute Decision-Making Problems, Integrated Framework of Optimization Technique and Information Theory Measures for Modeling Neutrosophic Variables, Neutrosophic Modal Logic. Keywords: neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic applications.
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.