Neutrosophic SuperHyperAlgebra and New Types of Topologies

Released on by Florentin Smarandache
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  • Neutrosophic SuperHyperAlgebra and New Types of Topologies Book Detail

  • Author : Florentin Smarandache
  • Release Date : 2023-09-01
  • Publisher : Infinite Study
  • Genre : Mathematics
  • Pages : 254
  • ISBN 13 :
  • File Size : 6,6 MB
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Neutrosophic SuperHyperAlgebra and New Types of Topologies by Florentin Smarandache PDF Summary

Book Description: 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.

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