NeutroAlgebra Theory Volume I

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Release : 2021-06-21
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NeutroAlgebra Theory Volume I - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook NeutroAlgebra Theory Volume I write by Florentin Smarandache. This book was released on 2021-06-21. NeutroAlgebra Theory Volume I available in PDF, EPUB and Kindle. A collection of papers from multiple authors. In 2019 and 2020 Smarandache [1, 2, 3, 4] generalized the classical Algebraic Structures to NeutroAlgebraic Structures (or NeutroAlgebras) {whose operations and axioms are partially true, partially indeterminate, and partially false} as extensions of Partial Algebra, and to AntiAlgebraic Structures (or AntiAlgebras) {whose operations and axioms are totally false}. The NeutroAlgebras & AntiAlgebras are a new field of research, which is inspired from our real world. In classical algebraic structures, all axioms are 100%, and all operations are 100% well-defined, but in real life, in many cases these restrictions are too harsh, since in our world we have things that only partially verify some laws or some operations. Using the process of NeutroSophication of a classical algebraic structure we produce a NeutroAlgebra, while the process of AntiSophication of a classical algebraic structure produces an AntiAlgebra.

Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebras

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Release : 2022-04-15
Genre : Mathematics
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Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebras write by Smarandache, Florentin. This book was released on 2022-04-15. Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebras available in PDF, EPUB and Kindle. 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. In all classical algebraic structures, the law of compositions on a given set are well-defined, but this is a restrictive case because there are situations in science where a law of composition defined on a set may be only partially defined and partially undefined, which we call NeutroDefined, or totally undefined, which we call AntiDefined. Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebra introduces NeutroAlgebra, an emerging field of research. This book provides a comprehensive collection of original work related to NeutroAlgebra and covers topics such as image retrieval, mathematical morphology, and NeutroAlgebraic structure. It is an essential resource for philosophers, mathematicians, researchers, educators and students of higher education, and academicians.

Neutrosophic Sets and Systems, vol. 51/2022

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Release : 2022-09-01
Genre : Mathematics
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Neutrosophic Sets and Systems, vol. 51/2022 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Neutrosophic Sets and Systems, vol. 51/2022 write by Florentin Smarandache. This book was released on 2022-09-01. Neutrosophic Sets and Systems, vol. 51/2022 available in PDF, EPUB and Kindle. “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 Algebraic Structures and Their Applications

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Release : 2022-08-01
Genre : Mathematics
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Neutrosophic Algebraic Structures and Their Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Neutrosophic Algebraic Structures and Their Applications write by Florentin Smarandache. This book was released on 2022-08-01. Neutrosophic Algebraic Structures and Their Applications available in PDF, EPUB and Kindle. 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.

NeutroAlgebra Theory, vol. I

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Release : 2021
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NeutroAlgebra Theory, vol. I - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook NeutroAlgebra Theory, vol. I write by Florentin Smarandache. This book was released on 2021. NeutroAlgebra Theory, vol. I available in PDF, EPUB and Kindle.