BCK Algebras Versus M-BCK Algebras. Foundations

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Publisher :
ISBN 13 : 9781848904163
Total Pages : 0 pages
Book Rating : 4.9/5 (41 download)

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Book Synopsis BCK Algebras Versus M-BCK Algebras. Foundations by : Afrodita Iorgulescu

Download or read book BCK Algebras Versus M-BCK Algebras. Foundations written by Afrodita Iorgulescu and published by . This book was released on 2022-10-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph gathers the author's results obtained since April 2019, which have been published in seven papers. Starting from the frame-work centered on BCK algebras, m-BCK algebras are defi ned ('m' coming from 'magma') (algebras including the MV and the Boolean algebras) and other more general algebras, thus obtaining an analogous new frame-work, centered on m-BCK algebras. 'Bridge theorems' connecting the two frameworks are obtained, in the involutive case. Incorporated within this new frame-work are the quantum structures: the bounded involutive lattices, the De Morgan algebras, the ortholattices, the quantum MV algebras, the orthomodular lattices, with important new results and many examples obtained by using the computer program Prover9/Mace4. Also included in the book are some new results, never published before, on L algebras, on quantum B algebras, pseudo-BCI/pseudo-BCK algebras and prealgebras (in the non-commutative case) and important final results on quantum structures, with many examples. This monograph has 17 chapters, divided into three parts: Part I focuses on the 'world' of BCK algebras and of pseudo-BCK algebras, Part II concentrates on the 'world' of m-BCK algebras and Part III is about 'bridge theorems' between the two 'worlds'.

Topics in Logic, Philosophy and Foundations of Mathematics, and Computer Science

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Publisher : IOS Press
ISBN 13 : 9781586038144
Total Pages : 380 pages
Book Rating : 4.0/5 (381 download)

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Book Synopsis Topics in Logic, Philosophy and Foundations of Mathematics, and Computer Science by : Stanisław Krajewski

Download or read book Topics in Logic, Philosophy and Foundations of Mathematics, and Computer Science written by Stanisław Krajewski and published by IOS Press. This book was released on 2007 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume honors Professor Andrzej Grzegorczyk, the nestor of Polish logicians, on his 85th anniversary. The editors would like to express the respect and sympathy they have for him. His textbook The Outline of Mathematical Logic has been published in many editions and translated into several languages. It was this textbook that introduced many of us into the world of mathematical logic. Professor Grzegorczyk has made fundamental contributions to logic and to philosophy. His results, mainly on hierarchy of primitive recursive functions, known as the Grzegorczyk hierarchy, are of fundamental importance to theoretical computer science. In particular, they were precursory for the computational complexity theory. The editors would like to stress that this special publication celebrates a scientist who is still actively pursuing genuinely innovative directions of research. Quite recently, Andrzej Grzegorczyk gave a new proof of undecidability of the first order functional calculus. His proof does not use the arithmetization of Kurt Gödel. In recognition of his merits, the University of Clermont-Ferrand conferred to Professor Andrzej Grzegorczyk the Doctorat Honoris Causa. The work and life of Professor Andrzej Grzegorczyk is presented in the article by Professors Stanislaw Krajewski and Jan Wolenski. The papers in this collection have been submitted on invitational basis.

Algebraic Foundations of Many-Valued Reasoning

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Publisher : Springer Science & Business Media
ISBN 13 : 9401594805
Total Pages : 238 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Algebraic Foundations of Many-Valued Reasoning by : R.L. Cignoli

Download or read book Algebraic Foundations of Many-Valued Reasoning written by R.L. Cignoli and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique textbook states and proves all the major theorems of many-valued propositional logic and provides the reader with the most recent developments and trends, including applications to adaptive error-correcting binary search. The book is suitable for self-study, making the basic tools of many-valued logic accessible to students and scientists with a basic mathematical knowledge who are interested in the mathematical treatment of uncertain information. Stressing the interplay between algebra and logic, the book contains material never before published, such as a simple proof of the completeness theorem and of the equivalence between Chang's MV algebras and Abelian lattice-ordered groups with unit - a necessary prerequisite for the incorporation of a genuine addition operation into fuzzy logic. Readers interested in fuzzy control are provided with a rich deductive system in which one can define fuzzy partitions, just as Boolean partitions can be defined and computed in classical logic. Detailed bibliographic remarks at the end of each chapter and an extensive bibliography lead the reader on to further specialised topics.

Commutative Generalized Neutrosophic Ideals in BCK-Algebras

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

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Book Synopsis Commutative Generalized Neutrosophic Ideals in BCK-Algebras by : Rajab Ali Borzooei

Download or read book Commutative Generalized Neutrosophic Ideals in BCK-Algebras written by Rajab Ali Borzooei and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of a commutative generalized neutrosophic ideal in a BCK-algebra is proposed, and related properties are proved. Characterizations of a commutative generalized neutrosophic ideal are considered. Also, some equivalence relations on the family of all commutative generalized neutrosophic ideals in BCK-algebras are introduced, and some properties are investigated.

Foundations of Information Technology in the Era of Network and Mobile Computing

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Publisher : Springer
ISBN 13 : 0387356088
Total Pages : 624 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Foundations of Information Technology in the Era of Network and Mobile Computing by : Ricardo Baeza-Yates

Download or read book Foundations of Information Technology in the Era of Network and Mobile Computing written by Ricardo Baeza-Yates and published by Springer. This book was released on 2013-06-29 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of Information Technology in the Era of Network and Mobile Computing is presented in two distinct but interrelated tracks: -Algorithms, Complexity and Models of Computation; -Logic, Semantics, Specification and Verification. This volume contains 45 original and significant contributions addressing these foundational questions, as well as 4 papers by outstanding invited speakers. These papers were presented at the 2nd IFIP International Conference on Theoretical Computer Science (TCS 2002), which was held in conjunction with the 17th World Computer Congress, sponsored by the International Federation for Information Processing (IFIP), and which convened in Montréal, Québec, Canada in August 2002.

Petr Hájek on Mathematical Fuzzy Logic

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Publisher : Springer
ISBN 13 : 3319062336
Total Pages : 318 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Petr Hájek on Mathematical Fuzzy Logic by : Franco Montagna

Download or read book Petr Hájek on Mathematical Fuzzy Logic written by Franco Montagna and published by Springer. This book was released on 2014-09-23 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume celebrates the work of Petr Hájek on mathematical fuzzy logic and presents how his efforts have influenced prominent logicians who are continuing his work. The book opens with a discussion on Hájek's contribution to mathematical fuzzy logic and with a scientific biography of him, progresses to include two articles with a foundation flavour, that demonstrate some important aspects of Hájek's production, namely, a paper on the development of fuzzy sets and another paper on some fuzzy versions of set theory and arithmetic. Articles in the volume also focus on the treatment of vagueness, building connections between Hájek's favorite fuzzy logic and linguistic models of vagueness. Other articles introduce alternative notions of consequence relation, namely, the preservation of truth degrees, which is discussed in a general context, and the differential semantics. For the latter, a surprisingly strong standard completeness theorem is proved. Another contribution also looks at two principles valid in classical logic and characterize the three main t-norm logics in terms of these principles. Other articles, with an algebraic flavour, offer a summary of the applications of lattice ordered-groups to many-valued logic and to quantum logic, as well as an investigation of prelinearity in varieties of pointed lattice ordered algebras that satisfy a weak form of distributivity and have a very weak implication. The last part of the volume contains an article on possibilistic modal logics defined over MTL chains, a topic that Hájek discussed in his celebrated work, Metamathematics of Fuzzy Logic, and another one where the authors, besides offering unexpected premises such as proposing to call Hájek's basic fuzzy logic HL, instead of BL, propose a very weak system, called SL as a candidate for the role of the really basic fuzzy logic. The paper also provides a generalization of the prelinearity axiom, which was investigated by Hájek in the context of fuzzy logic.

Foundations of Software Science and Computation Structures

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Publisher : Springer
ISBN 13 : 3540247270
Total Pages : 543 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Foundations of Software Science and Computation Structures by : Igor Walukiewicz

Download or read book Foundations of Software Science and Computation Structures written by Igor Walukiewicz and published by Springer. This book was released on 2004-03-04 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: ETAPS 2004 was the seventh instance of the European Joint Conferences on Theory and Practice of Software. ETAPS is an annual federated conference that was established in 1998 by combining a number of existing and new conferences. This year it comprised ?ve conferences (FOSSACS, FASE, ESOP, CC, TACAS), 23 satellite workshops, 1 tutorial, and 7 invited lectures (not including those that are speci?c to the satellite events). The events that comprise ETAPS address various aspects of the system - velopment process, including speci?cation, design, implementation, analysis and improvement. The languages, methodologies and tools that support these - tivities are all well within its scope. Di?erent blends of theory and practice are represented, with an inclination towards theory with a practical motivation on the one hand and soundly based practice on the other. Many of the issues inv- ved in software design apply to systems in general, including hardware systems, and the emphasis on software is not intended to be exclusive.

Networked Digital Technologies, Part I

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Publisher : Springer
ISBN 13 : 3642142923
Total Pages : 580 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Networked Digital Technologies, Part I by : Filip Zavoral

Download or read book Networked Digital Technologies, Part I written by Filip Zavoral and published by Springer. This book was released on 2010-06-29 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: On behalf of the NDT 2010 conference, the Program Committee and Charles University in Prague, Czech Republic, we welcome you to the proceedings of the Second International Conference on ‘Networked Digital Technologies’ (NDT 2010). The NDT 2010 conference explored new advances in digital and Web technology applications. It brought together researchers from various areas of computer and information sciences who addressed both theoretical and applied aspects of Web technology and Internet applications. We hope that the discussions and exchange of ideas that took place will contribute to advancements in the technology in the near future. The conference received 216 papers, out of which 85 were accepted, resulting in an acceptance rate of 39%. These accepted papers are authored by researchers from 34 countries covering many significant areas of Web applications. Each paper was evaluated by a minimum of two reviewers. Finally, we believe that the proceedings document the best research in the studied areas. We express our thanks to the Charles University in Prague, Springer, the authors and the organizers of the conference.

Neutrosophic Quadruple BCK/BCI-Algebras

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

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Book Synopsis Neutrosophic Quadruple BCK/BCI-Algebras by : Young Bae Jun

Download or read book Neutrosophic Quadruple BCK/BCI-Algebras written by Young Bae Jun and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of a neutrosophic quadruple BCK/BCI-number is considered, and a neutrosophic quadruple BCK/BCI-algebra, which consists of neutrosophic quadruple BCK/BCI-numbers, is constructed.

Neutrosophic Sets and Systems, Vol. 35, 2020

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 596 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, Vol. 35, 2020 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, Vol. 35, 2020 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 596 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 in this issue: Neutrosophic Soft Fixed Points, Selection of Alternative under the Framework of Single-Valued Neutrosophic Sets, Application of Single Valued Trapezoidal Neutrosophic Numbers in Transportation Problem.

Neutrosophic Sets and Systems, Book Series, Vol. 35, 2020. An International Book Series in Information Science and Engineering

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 583 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, Book Series, Vol. 35, 2020. An International Book Series in Information Science and Engineering by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, Book Series, Vol. 35, 2020. An International Book Series in Information Science and Engineering written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributors to current issue (listed in papers’ order): Ibrahim Yasser, Abeer Twakol, A. A. Abd El-Khalek, A. A. Salama, Ahmed Sharaf Al-Din, Issam Abu Al-Qasim, Rafif Alhabib, Magdy Badran, Remya P. B, Francina Shalini, Masoud Ghods, Zahra Rostami, A. Sahaya Sudha, Luiz Flavio Autran Monteiro Gomes, K.R. Vijayalakshmi, Prakasam Muralikrishna, Surya Manokaran, Nidhi Singh, Avishek Chakraborty, Soma Bose Biswas, Malini Majumdar, Rakhal Das, Binod Chandra Tripathy, Nidhi Singh, Avishek Chakraborty, Nilabhra Paul, Deepshikha Sarma, Akash Singh, Uttam Kumar Bera, Fatimah M. Mohammed, Sarah W. Raheem, Muhammad Riaz, Florentin Smarandache, Faruk Karaaslan, Masooma Raza Hashmi, Iqra Nawaz, Kousik Das, Sovan Samanta, Kajal De, Xavier Encarnacion, Nivetha Martin, I. Pradeepa, N. Ramila Gandhi, P. Pandiammal, Aiman Muzaffar, Md Tabrez Nafis, Shahab Saquib Sohail, Abhijit Saha, Jhulaneswar Baidya, Debjit Dutta, Irfan Deli, Said Broumi, Mohsin Khalid, Neha Andaleeb Khalid, Md. Hanif Page, Qays Hatem Imran, Shilpi Pal, S. Satham Hussain, Saeid Jafari, N. Durga, Hanieh Shambayati, Mohsen Shafiei Nikabadi, Seyed Mohammad, Ali Khatami Firouzabadi, Mohammad Rahmanimanesh, Mujahid Abbas, Ghulam Murtaza, K. Porselvi, B. Elavarasan, Y. B. Jun, Chinnadurai V, Sindhu M P, K.Radhika, K. Arun Prakash, Malayalan Lathamaheswari, Ruipu Tan, Deivanayagampillai Nagarajan, Talea Mohamed, Assia Bakali, Nivetha Martin, R. Dhavaseelan, Ali Hussein Mahmood Al-Obaidi, Suman Das, Surapati Pramanik, Madad Khan, Muhammad Zeeshan, Saima Anis, Abdul Sami Awan, M. Sarwar Sindhu, Tabasam Rashid, Agha Kashif, Rajesh Kumar Saini, Atul Sangal, Manisha.

Neutrosophic Sets and Systems, Vol. 42, 2021

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 355 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, Vol. 42, 2021 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, Vol. 42, 2021 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 355 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. In this issue: A hybrid Model Using MCDM Methods and Bipolar Neutrosophic Sets for Select Optimal Wind Turbine: Case Study in Egypt, Graphical Representation of Type-2 Neutrosophic sets, PESTEL Analysis to Identify Key Barriers to Smart Cities Development in India.

Quantitative Logic and Soft Computing

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Publisher : Springer Science & Business Media
ISBN 13 : 3642156606
Total Pages : 810 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Quantitative Logic and Soft Computing by : Bing-Yuan Cao

Download or read book Quantitative Logic and Soft Computing written by Bing-Yuan Cao and published by Springer Science & Business Media. This book was released on 2010-10-14 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt: Admittedly, the notion “intelligence or intelligent computing” has been around us for several decades, implicitly indicating any non-conventional methods of solving complex system problems such as expert systems and intelligent control techniques that mimic human skill and replace human operators for automation. Various kinds of intelligent methods have been suggested, phenomenological or ontological, and we have been witnessing quite successful applications. On the other hand, “Soft Computing Techniques” is the concept coined by Lot? Zadeh, referring to “a set of approaches of computing which parallels the remarkable ability of the human mind to reason and learn in an environment of uncertainty, imprecision and partial truth. ” Such a notion is well contrasted with the conventionalbinary logic based hard c- puting and has been effectively utilized with the guiding principle of “exploiting the tolerance for uncertainty,imprecision and partial truth to achieve tractability, - bustness and low solution cost. ” The soft computing techniques are often employed as the technical entities in a tool box with tools being FL, ANN, Rough Set, GA etc. Based on one’s intuition and experience, an engineer can build and realize hum- like systems by smartly mixing proper technical tools effectivelyand ef?ciently in a wide range of ?elds. For some time, the soft computing techniques are also referred to as intelligent computing tools.

CUBIC SUBALGEBRAS OF BCH-ALGEBRAS

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

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Book Synopsis CUBIC SUBALGEBRAS OF BCH-ALGEBRAS by : TAPAN SENAPATI

Download or read book CUBIC SUBALGEBRAS OF BCH-ALGEBRAS written by TAPAN SENAPATI and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, the notion of cubic subalgebras of BCH-algebras are introduced. Some characterization of cubic subalgebras of BCH-algebras are given. The homomorphic image and inverse image of cubic subalgebras are studied and investigated some related properties.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 1770 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2004 with total page 1770 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets

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Publisher : MDPI
ISBN 13 : 3038974757
Total Pages : 450 pages
Book Rating : 4.0/5 (389 download)

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Book Synopsis Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets by : Florentin Smarandache

Download or read book Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets written by Florentin Smarandache and published by MDPI. This book was released on 2019-04-04 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity {i.e. element, concept, idea, theory, logical proposition, etc.}, is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded, which have a similar form (x, neut(x), anti(x)), that satisfy several axioms, for each element x in a given set. This collective book presents original research papers by many neutrosophic researchers from around the world, that report on the state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets and their algebraic structures – that have been defined recently in 2016 but have gained interest from world researchers. Connections between classical algebraic structures and neutrosophic triplet / duplet / multiset structures are also studied. And numerous neutrosophic applications in various fields, such as: multi-criteria decision making, image segmentation, medical diagnosis, fault diagnosis, clustering data, neutrosophic probability, human resource management, strategic planning, forecasting model, multi-granulation, supplier selection problems, typhoon disaster evaluation, skin lesson detection, mining algorithm for big data analysis, etc.

Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume II

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Publisher : Infinite Study
ISBN 13 : 3038974765
Total Pages : 450 pages
Book Rating : 4.0/5 (389 download)

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Book Synopsis Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume II by : Florentin Smarandache

Download or read book Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume II written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity (i.e., element, concept, idea, theory, logical proposition, etc.), is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded; they have a similar form: (x, neut(x), anti(x), that satisfy some axioms, for each element x in a given set. This book contains the successful invited submissions to a special issue of Symmetry, reporting on state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets, and their algebraic structures—that have been defined recently in 2016, but have gained interest from world researchers, and several papers have been published in first rank international journals.