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The purpose of this paper is to define the product related neutrosophic topological space and proved some theorems based on this. We introduce the concept of neutrosophic semiopen sets and neutrosophic semi-closed sets in neutrosophic topological spaces and derive some of their characterization. Finally, we analyze neutrosophic semi-interior and neutrosophic semi-closure operators also.
In this paper we define the notion of Pythagorean neutrosophic b-open sets (resp. b-closed) and Pythagorean neutrosophic semiopen sets (resp. preopen and gamma -open). Their properties are investigated.
We introduce the notion of neutrosophic Φ-open set and neutrosophic Φ-continuous mapping via neutrosophic topological spaces and investigate several properties of it. By defining neutrosophic Φ -open set, neutrosophic Φ -continuous mapping, and neutrosophic Φ –open mapping, we prove some remarks, theorems on neutrosophic topological spaces.
“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. Some articles from this issue: Reduction of indeterminacy of gray-scale image in bipolar neutrosophic domain, Single Valued Neutrosophic Coloring, An Integrated Neutrosophic and MOORA for Selecting Machine Tool, Plithogenic Fuzzy Whole Hypersoft Set, Construction of Operators and their Application in Frequency Matrix Multi Attribute Decision Making Technique, Pi-Distance of Rough Neutrosophic Sets for Medical Diagnosis, Machine learning in Neutrosophic Environment: A Survey.
“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. In this issue: On Neutrosophic Crisp Sets and Neutrosophic Crisp Mathematical Morphology, New Results on Pythagorean Neutrosophic Open Sets in Pythagorean Neutrosophic Topological Spaces, Comparative Mathematical Model for Predicting of Financial Loans Default using Altman Z-Score and Neutrosophic AHP Methods.
“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.
Contributors to current issue (listed in papers' order): Ferhat Taș, Selçuk Topal, P. Iswarya, Dr. K. Bageerathi, I. Arokiarani, R. Dhavaseelan, S. Jafari, M. Parimala, R. Narmada Devi, Md. Hanif Page, R. Cabezas Padilla, J. González Ruiz, M. Villegas Alava, M. Leyva Vázquez, Okpako Abugor Ejaita, Asagba P.O., F. Smarandache, Surapati Pramanik, Shyamal Dalapati, Shariful Alam, Tapan Kumar Roy, Eman.M.El-Nakeeb, Hewayda ElGhawalby, A.A. Salama, S.A.El-Hafeez, Kanika Bhutani, Swati Aggarwal, N. Abbas, Y. Chibani, B. Hadjadji, Z. A. Omar, Suriana Alias, Daud Mohamad, Adibah Shuib, E. J. Henríquez Antepara, J. E. Arízaga Gamboa, M. R. Campoverde Méndez, M. E. Peña González, Nguyen Xuan Thao, Nguyen Van Dinh. Papers in current issue (listed in papers' order): Bèzier Curve Modeling for Neutrosophic Data Problem; A Study on Neutrosophic Frontier and Neutrosophic Semi-frontier in Neutrosophic Topological Spaces; On Some New Notions and Functions in Neutrosophic Topological Spaces; Neutrosophic Baire Spaces; A Knowledge-based Recommendation Framework using SVN Numbers; An Improved Framework for Diagnosing Confusable Diseases Using Neutrosophic Based Neural Network; Compact Open Topology and Evaluation Map via Neutrosophic Sets; On Neutrosophic Semi-Supra Open Set and Neutrosophic Semi-Supra Continuous Functions; Neutrosophic Cubic MCGDM Method Based on Similarity Measure; Neutrosophic Crisp Mathematical Morphology; Neutrosophic Rough Soft Set - A Decision Making Approach to Appendicitis Problem; PCR5 and Neutrosophic Probability in Target Identification (revisited); Rough Neutrosophic Multisets; Competencies Interdepencies Analysis based on Neutrosophic Cognitive Mapping; Support-Neutrosophic Set: A New Concept in Soft Computing.