Bck Algebras

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New Trends in Quantum Structures

Author : Anatolij Dvurecenskij
Publisher : Springer Science & Business Media
ISBN 13 : 9401724229
Total Pages : 551 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis New Trends in Quantum Structures by : Anatolij Dvurecenskij

Download or read book New Trends in Quantum Structures written by Anatolij Dvurecenskij and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: D. Hilbert, in his famous program, formulated many open mathematical problems which were stimulating for the development of mathematics and a fruitful source of very deep and fundamental ideas. During the whole 20th century, mathematicians and specialists in other fields have been solving problems which can be traced back to Hilbert's program, and today there are many basic results stimulated by this program. It is sure that even at the beginning of the third millennium, mathematicians will still have much to do. One of his most interesting ideas, lying between mathematics and physics, is his sixth problem: To find a few physical axioms which, similar to the axioms of geometry, can describe a theory for a class of physical events that is as large as possible. We try to present some ideas inspired by Hilbert's sixth problem and give some partial results which may contribute to its solution. In the Thirties the situation in both physics and mathematics was very interesting. A.N. Kolmogorov published his fundamental work Grundbegriffe der Wahrschein lichkeitsrechnung in which he, for the first time, axiomatized modern probability theory. From the mathematical point of view, in Kolmogorov's model, the set L of ex perimentally verifiable events forms a Boolean a-algebra and, by the Loomis-Sikorski theorem, roughly speaking can be represented by a a-algebra S of subsets of some non-void set n.

VERY TRUE PSEUDO-BCK ALGEBRAS

Author : LAVINIA CORINA CIUNGU
Publisher : Infinite Study
ISBN 13 :
Total Pages : 21 pages
Book Rating : 4./5 ( download)

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Book Synopsis VERY TRUE PSEUDO-BCK ALGEBRAS by : LAVINIA CORINA CIUNGU

Download or read book VERY TRUE PSEUDO-BCK ALGEBRAS written by LAVINIA CORINA CIUNGU and published by Infinite Study. This book was released on with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we introduce the very true operators on pseudo-BCK algebras and we study their properties. We prove that the composition of two very true operators is a very true operator if and only if they commute.

Commutative neutrosophic quadruple ideals of neutrosophic quadruple BCK-algebras

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

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Book Synopsis Commutative neutrosophic quadruple ideals of neutrosophic quadruple BCK-algebras by : M. Mohseni Takallo

Download or read book Commutative neutrosophic quadruple ideals of neutrosophic quadruple BCK-algebras written by M. Mohseni Takallo and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: Commutative neutrosophic quadruple ideals and BCK-algebras are discussed, and related properties are investigated. Conditions for the neutrosophic quadruple BCK-algebra to be commutative are considered. Given subsets A and B of a neutrosophic quadruple BCK-algebra, conditions for the set NQ(A;B) to be a commutative ideal of a neutrosophic quadruple BCK-algebra are provided.

Commutative falling neutrosophic ideals in BCK-algebras

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

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Book Synopsis Commutative falling neutrosophic ideals in BCK-algebras by : Young Bae Jun

Download or read book Commutative falling neutrosophic ideals in BCK-algebras written by Young Bae Jun and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notions of a commutative (Ɛ, Ɛ)-neutrosophic ideal and a commutative falling neutrosophic ideal are introduced, and several properties are investigated. Characterizations of a commutative (Ɛ, Ɛ)-neutrosophic ideal are obtained. Relations between commutative (Ɛ, Ɛ)-neutrosophic ideal and (Ɛ, Ɛ)-neutrosophic ideal are discussed.

MBJ-neutrosophic hyper BCK-ideals in hyper BCK-algebras

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

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Book Synopsis MBJ-neutrosophic hyper BCK-ideals in hyper BCK-algebras by : Abdelaziz Alsubie

Download or read book MBJ-neutrosophic hyper BCK-ideals in hyper BCK-algebras written by Abdelaziz Alsubie and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 2018, Takallo et al. introduced the concept of an MBJ-neutrosophic structure, which is a generalization of a neutrosophic structure, and applied it to a BCK/BCI-algebra. The aim of this study is to apply the notion of an MBJ-neutrosophic structure to a hyper BCK-algebra. The notions of the MBJ-neutrosophic hyper BCK-ideal, the MBJ-neutrosophic weak hyper BCK-ideal, the MBJ-neutrosophic s-weak hyper BCK-ideal and the MBJ-neutrosophic strong hyper BCK-ideal are introduced herein, and their relations and properties are investigated. These notions are discussed in connection with the MBJ-neutrosophic level cut sets.

BCK-algebras

Author : Jie Meng
Publisher :
ISBN 13 : 9788972821175
Total Pages : 294 pages
Book Rating : 4.8/5 (211 download)

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Book Synopsis BCK-algebras by : Jie Meng

Download or read book BCK-algebras written by Jie Meng and published by . This book was released on 1994-06-01 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:

BCI-Algebra

Author : Yisheng Huang
Publisher : Elsevier
ISBN 13 : 9787030154118
Total Pages : 368 pages
Book Rating : 4.1/5 (541 download)

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Book Synopsis BCI-Algebra by : Yisheng Huang

Download or read book BCI-Algebra written by Yisheng Huang and published by Elsevier. This book was released on 2006 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Distributed by Elsevier Science on behalf of Science Press. This book is mainly designed for graduate students who are interested in the theory of BCK and BCI-algebras. It introduces the general theoretical basis of BCI-algebras, omitting difficult proofs and abstract topics which are less necessary for beginners to learn. With abundant examples and exercises arranged after each section, it provides readers with easy-to-follow steps into this field. Specially designed for graduate students with emphasis on elementary knowledge in this field Organizes knowledge points systematically and highlights various arguments on vital topics to make them easy to be understand Gives many examples to clarify important notations and terminologies and abundant of classified exercises after each chapter for revision purposes

Non-commutative Multiple-Valued Logic Algebras

Author : Lavinia Corina Ciungu
Publisher : Springer Science & Business Media
ISBN 13 : 3319015893
Total Pages : 284 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Non-commutative Multiple-Valued Logic Algebras by : Lavinia Corina Ciungu

Download or read book Non-commutative Multiple-Valued Logic Algebras written by Lavinia Corina Ciungu and published by Springer Science & Business Media. This book was released on 2013-08-23 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a self-contained and easy-to-read introduction to non-commutative multiple-valued logic algebras; a subject which has attracted much interest in the past few years because of its impact on information science, artificial intelligence and other subjects. A study of the newest results in the field, the monograph includes treatment of pseudo-BCK algebras, pseudo-hoops, residuated lattices, bounded divisible residuated lattices, pseudo-MTL algebras, pseudo-BL algebras and pseudo-MV algebras. It provides a fresh perspective on new trends in logic and algebras in that algebraic structures can be developed into fuzzy logics which connect quantum mechanics, mathematical logic, probability theory, algebra and soft computing. Written in a clear, concise and direct manner, Non-Commutative Multiple-Valued Logic Algebras will be of interest to masters and PhD students, as well as researchers in mathematical logic and theoretical computer science.

Introduction to Neutrosophic BCI/BCK-Algebras

Author : A.A.A.Agboola
Publisher : Infinite Study
ISBN 13 :
Total Pages : 7 pages
Book Rating : 4./5 ( download)

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Book Synopsis Introduction to Neutrosophic BCI/BCK-Algebras by : A.A.A.Agboola

Download or read book Introduction to Neutrosophic BCI/BCK-Algebras written by A.A.A.Agboola and published by Infinite Study. This book was released on with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: We introduce the concept of neutrosophic BCI/BCK-algebras. Elementary properties of neutrosophic BCI/BCK algebras are presented.

Combinatorics, Computability and Logic

Author : C.S. Calude
Publisher : Springer Science & Business Media
ISBN 13 : 1447107179
Total Pages : 254 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Combinatorics, Computability and Logic by : C.S. Calude

Download or read book Combinatorics, Computability and Logic written by C.S. Calude and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers presented at the Third Discrete Mathematics and Theoretical Computer Science Conference (DMTCS1), which was held at 'Ovidius'University Constantza, Romania in July 2001. The conference was open to all areas of discrete mathematics and theoretical computer science, and the papers contained within this volume cover topics such as: abstract data types and specifications; algorithms and data structures; automata and formal languages; computability, complexity and constructive mathematics; discrete mathematics, combinatorial computing and category theory; logic, nonmonotonic logic and hybrid systems; molecular computing.

Neutrosophic Commutative N-Ideals in BCK-Algebras

Author : Seok-Zun Song
Publisher : Infinite Study
ISBN 13 :
Total Pages : 9 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Commutative N-Ideals in BCK-Algebras by : Seok-Zun Song

Download or read book Neutrosophic Commutative N-Ideals in BCK-Algebras written by Seok-Zun Song 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 a neutrosophic commutative N-ideal in BCK-algebras is introduced, and several properties are investigated. Relations between a neutrosophicN-idealandaneutrosophic commutative N-ideal are discussed. Characterizations of a neutrosophic commutative N-ideal are considered.

Some Implicativities for Groupoids and BCK-Algebras

Author : In Ho Hwang
Publisher : Infinite Study
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4./5 ( download)

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Book Synopsis Some Implicativities for Groupoids and BCK-Algebras by : In Ho Hwang

Download or read book Some Implicativities for Groupoids and BCK-Algebras written by In Ho Hwang and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we generalize the notion of an implicativity discussed in BCK-algebras, and apply it to some groupoids and BCK-algebras. We obtain some relations among those axioms in the theory of groupoids.

Implicative Neutrosophic Quadruple BCK-Algebras and Ideals

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

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Book Synopsis Implicative Neutrosophic Quadruple BCK-Algebras and Ideals by : G. Muhiuddin

Download or read book Implicative Neutrosophic Quadruple BCK-Algebras and Ideals written by G. Muhiuddin and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: A neutrosophic set is initiated by Smarandache, and it is a novel tool to deal with vagueness considering the truth, indeterminacy and falsity memberships satisfying the condition that their sum is less than 3. The concept of neutrosophic quadruple numbers was introduced by Florentin Smarandache.

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.

(Fuzzy and neutrosophic) soft hyper BCK-ideals

Author : Somayeh KHADEMAN
Publisher : Infinite Study
ISBN 13 :
Total Pages : 103 pages
Book Rating : 4./5 ( download)

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Book Synopsis (Fuzzy and neutrosophic) soft hyper BCK-ideals by : Somayeh KHADEMAN

Download or read book (Fuzzy and neutrosophic) soft hyper BCK-ideals written by Somayeh KHADEMAN and published by Infinite Study. This book was released on with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: We have given examples and theorems to examine the relations between them and their relations with fuzzy soft (weak, strong) hyper BCK-ideals. Then, we have introduced the notions of neutrosophic (strong, weak, s-weak) hyper BCK-ideal, reflexive neutrosophic hyper BCK-ideal and neutrosophic commutative hyper BCK-ideal and indicated some relevant properties and their relations. Finally, we introduce the notions of neutrosophic soft (weak, strong) hyper BCK-ideal and (weak, strong) neutrosophic soft hyper p-ideal and have got some results on them.

Fuzzy Systems and Knowledge Discovery

Author : Lipo Wang
Publisher : Springer Science & Business Media
ISBN 13 : 3540459162
Total Pages : 1362 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Fuzzy Systems and Knowledge Discovery by : Lipo Wang

Download or read book Fuzzy Systems and Knowledge Discovery written by Lipo Wang and published by Springer Science & Business Media. This book was released on 2006-09-19 with total page 1362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Third International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2006, held in federation with the Second International Conference on Natural Computation ICNC 2006. The book presents 115 revised full papers and 50 revised short papers. Coverage includes neural computation, quantum computation, evolutionary computation, DNA computation, fuzzy computation, granular computation, artificial life, innovative applications to knowledge discovery, finance, operations research, and more.

Proceedings of the International Conference on Information Engineering and Applications (IEA) 2012

Author : Zhicai Zhong
Publisher : Springer Science & Business Media
ISBN 13 : 1447148533
Total Pages : 865 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Proceedings of the International Conference on Information Engineering and Applications (IEA) 2012 by : Zhicai Zhong

Download or read book Proceedings of the International Conference on Information Engineering and Applications (IEA) 2012 written by Zhicai Zhong and published by Springer Science & Business Media. This book was released on 2013-03-28 with total page 865 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information engineering and applications is the field of study concerned with constructing information computing, intelligent systems, mathematical models, numerical solution techniques, and using computers and other electronic devices to analyze and solve natural scientific, social scientific and engineering problems. Information engineering is an important underpinning for techniques used in information and computational science and there are many unresolved problems worth studying. The Proceedings of the 2nd International Conference on Information Engineering and Applications (IEA 2012), which was held in Chongqing, China, from October 26-28, 2012, discusses the most innovative research and developments including technical challenges and social, legal, political, and economic issues. A forum for engineers and scientists in academia, industry, and government, the Proceedings of the 2nd International Conference on Information Engineering and Applications presents ideas, results, works in progress, and experience in all aspects of information engineering and applications.