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Neutrosophic Sets and Systems : An International Journal in Information Science and Engineering (Special Issue on Neutrosophic Algebraic Structures, NeutroAlgebra & AntiAlgebra and SuperHyperAlgebra & Neutrosophic SuperHyperAlgebra. Contributions of Researchers from the Arab World), Volume 54: An International Journal in Information Science and Engineering (Special Issue on Neutrosophic Algebraic Structures, NeutroAlgebra & AntiAlgebra and SuperHyperAlgebra & Neutrosophic SuperHyperAlgebra. Contributions of Researchers from the Arab World)

By Smarandache, Florentin

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Book Id: WPLBN0100304555
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Reproduction Date: 3/1/2023

Title: Neutrosophic Sets and Systems : An International Journal in Information Science and Engineering (Special Issue on Neutrosophic Algebraic Structures, NeutroAlgebra & AntiAlgebra and SuperHyperAlgebra & Neutrosophic SuperHyperAlgebra. Contributions of Researchers from the Arab World), Volume 54: An International Journal in Information Science and Engineering (Special Issue on Neutrosophic Algebraic Structures, NeutroAlgebra & AntiAlgebra and SuperHyperAlgebra & Neutrosophic SuperHyperAlgebra. Contributions of Researchers from the Arab World)  
Author: Smarandache, Florentin
Volume: Volume 54
Language: English
Subject: Non Fiction, Science
Collections: Authors Community, Mathematics
Historic
Publication Date:
2023
Publisher: NSIA
Member Page: Infinite Science

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Smarandacheitor, B. F., & Abobalaitor, M. (Eds.). (2023). Neutrosophic Sets and Systems : An International Journal in Information Science and Engineering (Special Issue on Neutrosophic Algebraic Structures, NeutroAlgebra & AntiAlgebra and SuperHyperAlgebra & Neutrosophic SuperHyperAlgebra. Contributions of Researchers from the Arab World), Volume 54. Retrieved from http://gutenberg.cc/


Description
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). In neutrosophic logic a proposition has a degree of truth (T), a degree of indeterminacy (I), and a degree of falsity (F), where T, I, F are standard or non-standard subsets of ]-0, 1+[. Neutrosophic Probability is a generalization of the classical probability and imprecise probability. Neutrosophic Statistics is a generalization of the classical statistics. What distinguishes the neutrosophics from other fields is the , which means neither nor . , which of course depends on , can be indeterminacy, neutrality, tie game, unknown, contradiction, ignorance, imprecision, etc.

Summary
“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.

 
 



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