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Author: Anatolij Dvurecenskij Publisher: Springer Science & Business Media ISBN: 9401724229 Category : Mathematics Languages : en Pages : 551
Book Description
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.
Author: Anatolij Dvurecenskij Publisher: Springer Science & Business Media ISBN: 9401724229 Category : Mathematics Languages : en Pages : 551
Book Description
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.
Author: Young Bae Jun Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 10
Book Description
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.
Author: Abdelaziz Alsubie Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 15
Book Description
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.
Author: Yisheng Huang Publisher: Elsevier ISBN: 9787030154118 Category : Business & Economics Languages : en Pages : 368
Book Description
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
Author: M. Mohseni Takallo Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 11
Book Description
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.
Author: G. Muhiuddin Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 10
Book Description
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.
Author: LAVINIA CORINA CIUNGU Publisher: Infinite Study ISBN: Category : Languages : en Pages : 21
Book Description
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.
Author: C.S. Calude Publisher: Springer Science & Business Media ISBN: 1447107179 Category : Mathematics Languages : en Pages : 254
Book Description
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.
Author: Anatolij Dvurecenskij
Author: Anatolij Dvurecenskij
Author: Young Bae Jun
Author: Abdelaziz Alsubie
Author: Jie Meng
Author: Yisheng Huang
Author: M. Mohseni Takallo
Author: G. Muhiuddin
Author: LAVINIA CORINA CIUNGU
Author: C.S. Calude
Author: A.A.A.Agboola