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Neutrosophic SuperHyperAlgebra and New Types of Topologies
In general, a system S (that may be a company, association, institution, society, country, etc.) is formed by sub-systems Si { or P(S), the powerset of S }, and each sub-system Si is formed by sub-sub-systems Sij { or P(P(S)) = P2(S) } and so on. That’s why the n-th PowerSet of a Set S { defined recursively and denoted by Pn(S) = P(Pn-1(S) } was introduced, to better describes the organization of people, beings, objects etc. in our real world. The n-th PowerSet was used in defining the SuperHyperOperation, SuperHyperAxiom, and their corresponding Neutrosophic SuperHyperOperation, Neutrosophic SuperHyperAxiom in order to build the SuperHyperAlgebra and Neutrosophic SuperHyperAlgebra. In general, in any field of knowledge, one in fact encounters SuperHyperStructures. Also, six new types of topologies have been introduced in the last years (2019-2022), such as: Refined Neutrosophic Topology, Refined Neutrosophic Crisp Topology, NeutroTopology, AntiTopology, SuperHyperTopology, and Neutrosophic SuperHyperTopology.
New Challenges in Neutrosophic Theory and Applications
Neutrosophic theory has representatives on all continent sand, therefore, it can be said to be a universal theory. On the other hand, according to the two volumes of "The Encyclopedia of Neutrosophic Researchers" (2016, 2018) about 150 researchers from 37 countries apply the idea and the neutrosophic method. Neutrosophic theory was founded by Professor Florentin Smarandache in 1998; it constitutes further generalization of fuzzy and intuitionistic fuzzy theories. The key distinction between the neutrosophic set/logic and other types of sets/logics consists of the introduction of the degree of indeterminacy/neutrality (I) as independent component in the neutrosophic set. Thus, neutrosophic th...
İRAN Kimlik ve Siyaset
Derin bir tarihe ve köklü bir medeniyete dayalı devlet geleneğine sahip olan İran’ın kimlik ve siyasi yapısının anlaşılabilmesi; bu coğrafyada kurulan devletlerin yapısı, etnik kimliklerin tahlili ve bölgede yaşayan otokton halkların İran’daki etnik gruplarla ilişkisinin ele alınması ile mümkün olacaktır. İran, etnik grupların çeşitlilik gösterdiği, İran demografisinin büyük çoğunluğu Şii mezhebine mensup olsa da farklı dinden ve mezhepten grupların yer aldığı heterojen bir yapıya sahiptir. İran’ın bu homojen olmayan yapısı, İran’da farklı kimliklerin öz-oluşumlarını sağlamalarına ve kimlik temelli taleplerin yükselmesine tesir etmiştir. Ayrıca İran’ın kimlik yapısının şekillenmesinde; İslam Cumhuriyeti’nin siyasal yapısı, devlet geleneği, çok etnikli yapı, Şii mezhepsel inancı ve bölgesel dinamikler gibi farklı unsurların etkili olduğu anlaşılmaktadır.
Neutrosophic Topological Spaces
In this paper, the concept of neutrosophic topological spaces is introduced. We define and study the properties of neutrosophic open sets, closed sets, interior and closure. The set of all generalize neutrosophic pre-closed sets GNPC and the set of all neutrosophic open sets in a neutrosophic topological space can be considered as examples of generalized neutrosophic topological spaces.
Split Cord Malformations
Split Cord Malformations is written with the purpose of providing a complete overview of the management of this rare condition. The book benefits from the rich experience and expertise of its contributing authors in the management of spinal dysraphism in general and split cord malformation in particular. The book highlights the way a SCM patient must be treated to get excellent results. This book has 14 chapters dealing with all aspects of SCM ranging from embryology, diagnosis, and management. Key Features Clear depiction of the types of Split cord malformations. Various classification systems of SCM are covered along with their surgical implications. Dorsoventral spur, its pathogenesis, an...
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NEUTROSOPHIC TRIPLET STRUCTURES, Volume I
Neutrosophic theory and its applications have been expanding in all directions at an astonishing rate especially after of the introduction the journal entitled “Neutrosophic Sets and Systems”. New theories, techniques, algorithms have been rapidly developed. One of the most striking trends in the neutrosophic theory is the hybridization of neutrosophic set with other potential sets such as rough set, bipolar set, soft set, hesitant fuzzy set, etc. The different hybrid structures such as rough neutrosophic set, single valued neutrosophic rough set, bipolar neutrosophic set, single valued neutrosophic hesitant fuzzy set, etc. are proposed in the literature in a short period of time. Neutrosophic set has been an important tool in the application of various areas such as data mining, decision making, e-learning, engineering, medicine, social science, and some more.
