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Full-Text Articles in Physical Sciences and Mathematics
Neutrosophic Quadruple Algebraic Hyperstructures, A. A. A. Agboola, B. Davvaz, Florentin Smarandache
Neutrosophic Quadruple Algebraic Hyperstructures, A. A. A. Agboola, B. Davvaz, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
The objective of this paper is to develop neutrosophic quadruple algebraic hyperstructures. Specifically, we develop neutrosophic quadruple semihypergroups, neutrosophic quadruple canonical hypergroups and neutrosophic quadruple hyperrings and we present elementary properties which characterize them.
Plithogeny, Plithogenic Set, Logic, Probability, And Statistics, Florentin Smarandache
Plithogeny, Plithogenic Set, Logic, Probability, And Statistics, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
In this book we introduce for the first time, as generalization of dialectics and neutrosophy, the philosophical concept called plithogeny. And as its derivatives: the plithogenic set (as generalization of crisp, fuzzy, intuitionistic fuzzy, and neutrosophic sets), plithogenic logic (as generalization of classical, fuzzy, intuitionistic fuzzy, and neutrosophic logics), plithogenic probability (as generalization of classical, imprecise, and neutrosophic probabilities), and plithogenic statistics (as generalization of classical, and neutrosophic statistics).
Plithogeny is the genesis or origination, creation, formation, development, and evolution of new entities from dynamics and organic fusions of contradictory and/or neutrals and/or non-contradictory multiple old entities.
Plithogenic …
Neutrosophic Perspectives: Triplets, Duplets, Multisets, Hybrid Operators, Modal Logic, Hedge Algebras. And Applications (Second Extended And Improved), Florentin Smarandache
Neutrosophic Perspectives: Triplets, Duplets, Multisets, Hybrid Operators, Modal Logic, Hedge Algebras. And Applications (Second Extended And Improved), Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
This book is part of the book-series dedicated to the advances of neutrosophic theories and their applications, started by the author in 1998. Its aim is to present the last developments in the field. For the first time, we now introduce:
— Neutrosophic Duplets and the Neutrosophic Duplet Structures;
— Neutrosophic Multisets (as an extension of the classical multisets);
— Neutrosophic Spherical Numbers;
— Neutrosophic Overnumbers / Undernumbers / Offnumbers;
— Neutrosophic Indeterminacy of Second Type;
— Neutrosophic Hybrid Operators (where the heterogeneous t-norms and t-conorms may be used in designing neutrosophic aggregations);
— Neutrosophic Triplet Loop;
— Neutrosophic Triplet …