Neutrosophic Set Theory Applied To Up Algebras

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Neutrosophic Set Theory Applied to UP-Algebras

Author : Metawee Songsaeng
Publisher : Infinite Study
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Set Theory Applied to UP-Algebras by : Metawee Songsaeng

Download or read book Neutrosophic Set Theory Applied to UP-Algebras written by Metawee Songsaeng and published by Infinite Study. This book was released on with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notions of neutrosophic UP-subalgebras, neutrosophic near UP- lters, neutrosophic UP- lters, neutrosophic UP-ideals, and neutrosophic strongly UP-ideals of UP-algebras are introduced, and several properties are investigated. Conditions for neutrosophic sets to be neutrosophic UP-subalgebras, neutrosophic near UP- lters, neutrosophic UP- lters, neutrosophic UP-ideals, and neutrosophic strongly UP-ideals of UP-algebras are provided. Relations between neutrosophic UP-subalgebras (resp., neutrosophic near UP- lters, neutrosophic UP- lters, neutrosophic UP-ideals, neutrosophic strongly UP-ideals) and their level subsets are considered.

NEUTROSOPHIC SETS IN UP-ALGEBRAS BY MEANS OF INTERVAL-VALUED FUZZY SETS

Author : Metawee Songsaeng
Publisher : Infinite Study
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4./5 ( download)

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Book Synopsis NEUTROSOPHIC SETS IN UP-ALGEBRAS BY MEANS OF INTERVAL-VALUED FUZZY SETS by : Metawee Songsaeng

Download or read book NEUTROSOPHIC SETS IN UP-ALGEBRAS BY MEANS OF INTERVAL-VALUED FUZZY SETS written by Metawee Songsaeng and published by Infinite Study. This book was released on with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we introduce the notion of interval-valued neutrosophic UP-subalgebras (resp., interval-valued neutrosophic near UP- lters, interval-valued neutrosophic UP- lters, interval-valued neutrosophic UP-ideals, and interval-valued neutrosophic strong UP-ideals) of UP-algebras, proved some results, and their generalizations. Furthermore, we discuss the relations between interval-valued neutrosophic UP-subalgebras (resp., interval-valued neutrosophic near UP- lters, interval-valued neutrosophic UP- lters, interval-valued neutrosophic UP-ideals, and interval-valued neutrosophic strong UP- ideals) and their level subsets.

A novel approach to neutrosophic sets in UP-algebras

Author : Metawee Songsaeng
Publisher : Infinite Study
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4./5 ( download)

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Book Synopsis A novel approach to neutrosophic sets in UP-algebras by : Metawee Songsaeng

Download or read book A novel approach to neutrosophic sets in UP-algebras written by Metawee Songsaeng and published by Infinite Study. This book was released on with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, the notions of special neutrosophic UP-subalgebras, special neutrosophic near UP-filters, special neutrosophic UP-filters, special neutrosophic UP-ideals, and special neutrosophic strong UP-ideals of UP-algebras are introduced, and several properties are investigated. Conditions for neutrosophic sets to be special neutrosophic UP-subalgebras, special neutrosophic near UP-filters, special neutrosophic UP-filters, special neutrosophic UP-ideals, and special neutrosophic strong UP-ideals of UP-algebras are provided. Relations between special neutrosophic UP-subalgebras (resp., special neutrosophic near UP-filters, special neutrosophic UP-filters, special neutrosophic UP-ideals, special neutrosophic strong UP-ideals) and their level subsets are considered.

Neutrosophic N-structures over UP-algebras

Author : Phattharaphon Rangsuk
Publisher : Infinite Study
ISBN 13 :
Total Pages : 41 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic N-structures over UP-algebras by : Phattharaphon Rangsuk

Download or read book Neutrosophic N-structures over UP-algebras written by Phattharaphon Rangsuk and published by Infinite Study. This book was released on with total page 41 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among many algebraic structures, algebras of logic form important class of algebras. Examples of these are BCK-algebras, BCI-algebras, BCH-algebras, KU-algebras [28], SU-algebras and others.

Application of Neutrosophic Soft Sets to K-Algebras

Author : Muhammad Akram
Publisher : Infinite Study
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4./5 ( download)

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Book Synopsis Application of Neutrosophic Soft Sets to K-Algebras by : Muhammad Akram

Download or read book Application of Neutrosophic Soft Sets to K-Algebras written by Muhammad Akram and published by Infinite Study. This book was released on with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic sets and soft sets are two different mathematical tools for representing vagueness and uncertainty.We apply these models in combination to study vagueness and uncertainty in K-algebras. We introduce the notion of single-valued neutrosophic soft (SNS) K-algebras and investigate some of their properties. We establish the notion of (2, 2 _q)-single-valued neutrosophic soft K-algebras and describe some of their related properties. We also illustrate the concepts with numerical examples.

Collected Papers. Volume IX

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 1008 pages
Book Rating : 4./5 ( download)

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Book Synopsis Collected Papers. Volume IX by : Florentin Smarandache

Download or read book Collected Papers. Volume IX written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-05-10 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ninth volume of Collected Papers includes 87 papers comprising 982 pages on Neutrosophic Theory and its applications in Algebra, written between 2014-2022 by the author alone or in collaboration with the following 81 co-authors (alphabetically ordered) from 19 countries: E.O. Adeleke, A.A.A. Agboola, Ahmed B. Al-Nafee, Ahmed Mostafa Khalil, Akbar Rezaei, S.A. Akinleye, Ali Hassan, Mumtaz Ali, Rajab Ali Borzooei , Assia Bakali, Cenap Özel, Victor Christianto, Chunxin Bo, Rakhal Das, Bijan Davvaz, R. Dhavaseelan, B. Elavarasan, Fahad Alsharari, T. Gharibah, Hina Gulzar, Hashem Bordbar, Le Hoang Son, Emmanuel Ilojide, Tèmítópé Gbóláhàn Jaíyéolá, M. Karthika, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Huma Khan, Madad Khan, Mohsin Khan, Hee Sik Kim, Seon Jeong Kim, Valeri Kromov, R. M. Latif, Madeleine Al-Tahan, Mehmat Ali Ozturk, Minghao Hu, S. Mirvakili, Mohammad Abobala, Mohammad Hamidi, Mohammed Abdel-Sattar, Mohammed A. Al Shumrani, Mohamed Talea, Muhammad Akram, Muhammad Aslam, Muhammad Aslam Malik, Muhammad Gulistan, Muhammad Shabir, G. Muhiuddin, Memudu Olaposi Olatinwo, Osman Anis, Choonkil Park, M. Parimala, Ping Li, K. Porselvi, D. Preethi, S. Rajareega, N. Rajesh, Udhayakumar Ramalingam, Riad K. Al-Hamido, Yaser Saber, Arsham Borumand Saeid, Saeid Jafari, Said Broumi, A.A. Salama, Ganeshsree Selvachandran, Songtao Shao, Seok-Zun Song, Tahsin Oner, M. Mohseni Takallo, Binod Chandra Tripathy, Tugce Katican, J. Vimala, Xiaohong Zhang, Xiaoyan Mao, Xiaoying Wu, Xingliang Liang, Xin Zhou, Yingcang Ma, Young Bae Jun, Juanjuan Zhang.

NEUTROSOPHIC SET IN INK-ALGEBRA

Author : M. KAVIYARASU
Publisher : Infinite Study
ISBN 13 :
Total Pages : 9 pages
Book Rating : 4./5 ( download)

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Book Synopsis NEUTROSOPHIC SET IN INK-ALGEBRA by : M. KAVIYARASU

Download or read book NEUTROSOPHIC SET IN INK-ALGEBRA written by M. KAVIYARASU and published by Infinite Study. This book was released on with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of neutrosophic INK-Algebra, neutrosophic INK-filter, neutrosophic near INK-filter, neutrosophic ideal and neutrosophic INK-ideal of INK-algebra are introduced, and several properties are investigated. Condition for neutrosophic sets to be neutrosophic INK-filter, neutrosophic near INK-filter, neutrosophic ideal and neutrosophic INK-ideal of INK-algebra are provided. Relation between neutrosophic sub algebra and neutrosophic INK-ideal are considered.

Interval Neutrosophic Sets and Logic: Theory and Applications in Computing

Author : Haibin Wang
Publisher : Infinite Study
ISBN 13 : 1931233942
Total Pages : 99 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis Interval Neutrosophic Sets and Logic: Theory and Applications in Computing by : Haibin Wang

Download or read book Interval Neutrosophic Sets and Logic: Theory and Applications in Computing written by Haibin Wang and published by Infinite Study. This book was released on 2005 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the advancements and applications of neutrosophics, which are generalizations of fuzzy logic, fuzzy set, and imprecise probability. The neutrosophic logic, neutrosophic set, neutrosophic probability, and neutrosophic statistics are increasingly used in engineering applications (especially for software and information fusion), medicine, military, cybernetics, physics.In the last chapter a soft semantic Web Services agent framework is proposed to facilitate the registration and discovery of high quality semantic Web Services agent. The intelligent inference engine module of soft semantic Web Services agent is implemented using interval neutrosophic logic.

Neutrosophic sets applied to mightylters in BE-algebras

Author : Jung Mi Ko
Publisher : Infinite Study
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic sets applied to mightylters in BE-algebras by : Jung Mi Ko

Download or read book Neutrosophic sets applied to mightylters in BE-algebras written by Jung Mi Ko and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of a neutrosophic subalgebra of a BE-algebra is introduced and consider characterizations of a neutrosophic subalgebra and a neutrosophic lter. We de ned the notion of a neutrosophic mighty lter of a BE-algebra, and investigated some properties of it. We provide conditions for a neutrosophic lter to be a neutrosophic mighty lter.

Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebras

Author : Smarandache, Florentin
Publisher : IGI Global
ISBN 13 : 1668434970
Total Pages : 333 pages
Book Rating : 4.6/5 (684 download)

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Book Synopsis Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebras by : Smarandache, Florentin

Download or read book Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebras written by Smarandache, Florentin and published by IGI Global. This book was released on 2022-04-15 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. 47, 2021

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 652 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, Vol. 47, 2021 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, Vol. 47, 2021 written by Florentin Smarandache and published by Infinite Study. This book was released on 2021-12-30 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on neutrosophic statistics, neutrosophic probability, plithogenic set, paradoxism, neutrosophic set, NeutroAlgebra, etc. and their applications.

NeutroAlgebra is a Generalization of Partial Algebra

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4./5 ( download)

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Book Synopsis NeutroAlgebra is a Generalization of Partial Algebra by : Florentin Smarandache

Download or read book NeutroAlgebra is a Generalization of Partial Algebra written by Florentin Smarandache and published by Infinite Study. This book was released on 2020-03-12 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we recall, improve, and extend several definitions, properties and applications of our previous 2019 research referred to NeutroAlgebras and AntiAlgebras (also called NeutroAlgebraic Structures and respectively AntiAlgebraic Structures). Let be an item (concept, attribute, idea, proposition, theory, etc.). Through the process of neutrosphication, we split the nonempty space we work on into three regions {two opposite ones corresponding to and , and one corresponding to neutral (indeterminate) (also denoted ) between the opposites}, which may or may not be disjoint – depending on the application, but they are exhaustive (their union equals the whole space). A NeutroAlgebra is an algebra which has at least one NeutroOperation or one NeutroAxiom (axiom that is true for some elements, indeterminate for other elements, and false for the other elements). A Partial Algebra is an algebra that has at least one Partial Operation, and all its Axioms are classical (i.e. axioms true for all elements). Through a theorem we prove that NeutroAlgebra is a generalization of Partial Algebra, and we give examples of NeutroAlgebras that are not Partial Algebras. We also introduce the NeutroFunction (and NeutroOperation).

Certain Notions of Neutrosophic Topological K-Algebras

Author : Muhammad Akram
Publisher : Infinite Study
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4./5 ( download)

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Book Synopsis Certain Notions of Neutrosophic Topological K-Algebras by : Muhammad Akram

Download or read book Certain Notions of Neutrosophic Topological K-Algebras written by Muhammad Akram and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this research article, we apply the notion of single-valued neutrosophic sets to K-algebras. We introduce the notion of single-valued neutrosophic topological K-algebras and investigate some of their properties. Further, we study certain properties, including C5-connected, super connected, compact and Hausdorff, of single-valued neutrosophic topological K-algebras. We also investigate the image and pre-image of single-valued neutrosophic topological K-algebras under homomorphism.

NEUTROSOPHIC FILTERS IN PSEUDO-BCI ALGEBRAS

Author : Xiaohong Zhang
Publisher : Infinite Study
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4./5 ( download)

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Book Synopsis NEUTROSOPHIC FILTERS IN PSEUDO-BCI ALGEBRAS by : Xiaohong Zhang

Download or read book NEUTROSOPHIC FILTERS IN PSEUDO-BCI ALGEBRAS written by Xiaohong Zhang and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of the neutrosophic set was introduced by Smarandache; it is a mathematical tool for handling problems involving imprecise, indeterminacy and inconsistent data. The notion of pseudo-BCI algebra was introduced by Dudek and Jun; it is a kind of nonclassical logic algebra and has a close connection with various noncommutative fuzzy logics. In this paper, neutrosophic set theory is applied to pseudo-BCI algebras.

Neutrosophic Sets and Systems, Book Series, Vol. 28, 2019

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 302 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, Book Series, Vol. 28, 2019 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, Book Series, Vol. 28, 2019 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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

Neutrosophic Algebraic Structures and Their Applications

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 269 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Algebraic Structures and Their Applications by : Florentin Smarandache

Download or read book Neutrosophic Algebraic Structures and Their Applications written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-08-01 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Neutrosophic Sets and Systems, Vol. 28, 2019

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 304 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, Vol. 28, 2019 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, Vol. 28, 2019 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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. Some articles from this issue: Reduction of indeterminacy of gray-scale image in bipolar neutrosophic domain, Single Valued Neutrosophic Coloring, An Integrated Neutrosophic and MOORA for Selecting Machine Tool, Plithogenic Fuzzy Whole Hypersoft Set, Construction of Operators and their Application in Frequency Matrix Multi Attribute Decision Making Technique, Pi-Distance of Rough Neutrosophic Sets for Medical Diagnosis, Machine learning in Neutrosophic Environment: A Survey.