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Soft Sets
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Download or read book Soft Sets written by Sunil Jacob John and published by Springer Nature. This book was released on 2020-10-01 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a self-contained guide to the theory and main applications of soft sets. It introduces readers to the basic concepts, the algebraic and topological structures, as well as hybrid structures, such as fuzzy soft sets and intuitionistic fuzzy sets. The last part of the book explores a range of interesting applications in the fields of decision-making, pattern recognition, and data science. All in all, the book provides graduate students and researchers in mathematics and various applied science fields with a comprehensive and timely reference guide to soft sets.
Book Synopsis Nondifferentiable Optimization by : V.F. Dem'yanov
Download or read book Nondifferentiable Optimization written by V.F. Dem'yanov and published by Springer. This book was released on 1985-12-12 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Of recent coinage, the term "nondifferentiable optimization" (NDO) covers a spectrum of problems related to finding extremal values of nondifferentiable functions. Problems of minimizing nonsmooth functions arise in engineering applications as well as in mathematics proper. The Chebyshev approximation problem is an ample illustration of this. Without loss of generality, we shall consider only minimization problems. Among nonsmooth minimization problems, minimax problems and convex problems have been studied extensively ([31], [36], [57], [110], [120]). Interest in NDO has been constantly growing in recent years (monographs: [30], [81], [127] and articles and papers: [14], [20], [87]-[89], [98], [130], [135], [140]-[142], [152], [153], [160], all dealing with various aspects of non smooth optimization). For solving an arbitrary minimization problem, it is neces sary to: 1. Study properties of the objective function, in particular, its differentiability and directional differentiability. 2. Establish necessary (and, if possible, sufficient) condi tions for a global or local minimum. 3. Find the direction of descent (steepest or, simply, feasible--in appropriate sense). 4. Construct methods of successive approximation. In this book, the minimization problems for nonsmooth func tions of a finite number of variables are considered. Of fun damental importance are necessary conditions for an extremum (for example, [24], [45], [57], [73], [74], [103], [159], [163], [167], [168].
Book Synopsis Generalized Rough Sets by : Anjan Mukherjee
Download or read book Generalized Rough Sets written by Anjan Mukherjee and published by Springer. This book was released on 2015-05-28 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book introduces the concept of “generalized interval valued intuitionistic fuzzy soft sets”. It presents the basic properties of these sets and also, investigates an application of generalized interval valued intuitionistic fuzzy soft sets in decision making with respect to interval of degree of preference. The concept of “interval valued intuitionistic fuzzy soft rough sets” is discussed and interval valued intuitionistic fuzzy soft rough set based multi criteria group decision making scheme is presented, which refines the primary evaluation of the whole expert group and enables us to select the optimal object in a most reliable manner. The book also details concept of interval valued intuitionistic fuzzy sets of type 2. It presents the basic properties of these sets. The book also introduces the concept of “interval valued intuitionistic fuzzy soft topological space (IVIFS topological space)” together with intuitionistic fuzzy soft open sets (IVIFS open sets) and intuitionistic fuzzy soft closed sets (IVIFS closed sets).
Book Synopsis Rough Sets and Knowledge Technology by : Guoyin Wang
Download or read book Rough Sets and Knowledge Technology written by Guoyin Wang and published by Springer Science & Business Media. This book was released on 2008-04-25 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Third International Conference on Rough Sets and Knowledge Technology, RSKT 2008, held in Chengdu, China, in May 2008. The 91 revised full papers papers presented together with 3 keynote papers and 6 tutorial papers were carefully reviewed and selected from 184 submissions. They all focus on five major research fields: computing theory and paradigms, knowledge technology, intelligent information processing, intelligent control, and applications. The papers are organized in topical sections on rough and soft computing, rough mereology with applications, dominance-based rough set approach, fuzzy-rough hybridization, granular computing, logical and mathematical foundations, formal concept analysis, data mining, machine learning, intelligent information processing, bioinformatics and cognitive informatics, web intelligence, pattern recognition, and real-life applications of knowledge technology.
Book Synopsis Neutrosophic Sets and Systems, Vol. IV by : Florentin Smarandache
Download or read book Neutrosophic Sets and Systems, Vol. IV written by Florentin Smarandache and published by Infinite Study. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of seven papers, written by different authors and co-authors (listed in the order of the papers): A. A. Salama, F. Smarandache, Valeri Kroumov, A. A. A. Agboola, S. A. Akinleye, M. Ali, M. Shabir, M. Naz, I. Deli, Y. Toktas, S. Broumi, Z. Zhang, C. Wu, S. A. Alblowi, C. Dyer. In first paper, the authors proposed Neutrosophic Closed Set and Neutrosophic Continuous Function. Neutrosophic Vector spaces are proposed in the second paper. Neutrosophic Bi-LA-Semigroup and Neutrosophic N-LA-Semigroup is studied in third paper. In fourth paper Neutrosophic Parameterized Soft Relations and Their Applications are introduced. Similarly in fifth paper A novel method for single valued neutrosophic multi-criteria decision making with incomplete weight information are discussed. In paper six, New Neutrosophic Crisp Topological Concept is presented by the authors. Soft Neutrosophic Loops and Their Generalization is given in seventh paper.
Book Synopsis Neutrosophic Sets and Systems, vol. 4/2014 by : A. A. Salama
Download or read book Neutrosophic Sets and Systems, vol. 4/2014 written by A. A. Salama and published by Infinite Study. This book was released on with total page 76 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.
Book Synopsis Fuzzy Information and Engineering by : Bing-Yuan Cao
Download or read book Fuzzy Information and Engineering written by Bing-Yuan Cao and published by Springer Science & Business Media. This book was released on 2007-07-07 with total page 1038 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Second International Conference on Fuzzy Information and Engineering (ICFIE2007) is a major symposium for scientists, engineers and practitioners in China as well as the world to present their latest results, ideas, developments and applications in all areas of fuzzy information and knowledge engineering. It aims to strengthen relations between industry research laboratories and universities, and to create a primary symposium for world scientists.
Book Synopsis Neutrosophic Sets and Systems, book series, Vol.12, 2016 by : Florentin Smarandache
Download or read book Neutrosophic Sets and Systems, book series, Vol.12, 2016 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of seventeen papers, written by different authors and co-authors (listed in the order of the papers): F. Smarandache, K. Bhutani, M. Kumar, G. Garg, S. Aggarwal, P. Biswas, S. Pramanik, B. C. Giri, J. Ye, A. Mukherjee, M. Datta, S. Sarkar, N. Shah, M. K. EL Gayyar, S. K. Patro, B. C. Cuong, P. H. Phong, A. A. Salama, I. M. Hanafy, H. Elghawalby and M. S. Dabash, R. Roy, P. Das, D. Mandal, Santhi R., Udhayarani N., F. Yuhua, S. A. Akinleye, A.A.A. Agboola, and J. Chen. In first paper, the authors studied Degrees of Membership > 1 and < 0 of the Elements With Respect to a Neutrosophic Off-Set. Assessing IT Projects Success with Extended Fuzz Cognitive Maps & Neutrosophic Cognitive Maps in comparison to Fuzzy Cognitive Maps are discussed in the second paper. Aggregation of triangular fuzzy neutrosophic set information and its application to multi-attribute decision making is studied in third paper. In fourth paper, Similarity Measure of Refined Single-Valued Neutrosophic Sets and Its Multicriteria Decision Making Method . Similarly in fifth paper, Restricted Interval Valued Neutrosophic Sets and Restricted Interval Valued Neutrosophic Topological Spaces is discussed. In paper six, Some Studies in Neutrosophic Graphs is studied by the author. Smooth Neutrosophic Topological Spaces is proposed in the next paper. The Neutrosophic Statistical Distribution, More Problems, More Solutions in the next paper. Further, Standard Neutrosophic Soft Theory: Some First Results are discussed by the authors in the tenth paper. In eleventh paper, Neutrosophic Crisp α-Topological Spaces have been studied by the author. In the next paper, Neutrosophic Goal Programming applied to Bank: Three Investment Problem. In thirteenth paper, Neutrosophic Hyperideals of Semihyperrings are introduced by the authors. In fourteenth paper, the author studied Nω-Closed Sets in Neutrosophic Topological Spaces. In the last paper, Expanding Comparative Literature into Comparative Sciences Clusters with Neutrosophy and Quad-stage Method. On Neutrosophic Quadruple Algebraic Structures in fifteenth paper. Sixteenth paper is about Value and ambiguity index based ranking method of single-valued trapezoidal neutrosophic numbers and its application to multiattribute decision making. Las paper is about A Projection Model of Neutrosophic Numbers for Multiple Attribute Decision Making of Clay-Brick Selection
Book Synopsis Neutrosophic Sets and Systems, vol. 12/2016 by : F. Smarandache
Download or read book Neutrosophic Sets and Systems, vol. 12/2016 written by F. Smarandache and published by Infinite Study. This book was released on with total page 144 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.
Book Synopsis Neutrosophic Sets and Systems, Vol. 32, 2020 by : Florentin Smarandache
Download or read book Neutrosophic Sets and Systems, Vol. 32, 2020 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 454 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: Parameter Reduction of Neutrosophic Soft Sets and Their Applications, Geometric Programming (NGP) Problems Subject to (⋁,.) Operator; the Minimum Solution, Ngpr Homeomorphism in Neutrosophic Topological Spaces, Generalized Neutrosophic Separation Axioms in Neutrosophic Soft Topological Spaces.
Book Synopsis Rough Sets and Knowledge Technology by : Duoqian Miao
Download or read book Rough Sets and Knowledge Technology written by Duoqian Miao and published by Springer. This book was released on 2014-09-25 with total page 867 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed conference proceedings of the 9th International Conference on Rough Sets and Knowledge Technology, RSKT 2014, held in Shanghai, China, in October 2014. The 70 papers presented were carefully reviewed and selected from 162 submissions. The papers in this volume cover topics such as foundations and generalizations of rough sets, attribute reduction and feature selection, applications of rough sets, intelligent systems and applications, knowledge technology, domain-oriented data-driven data mining, uncertainty in granular computing, advances in granular computing, big data to wise decisions, rough set theory, and three-way decisions, uncertainty, and granular computing.
Book Synopsis Neutrosophic Sets and Systems, Book Series, Vol. 32, 2020. An International Book Series in Information Science and Engineering by : Florentin Smarandache
Download or read book Neutrosophic Sets and Systems, Book Series, Vol. 32, 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 452 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.
Book Synopsis Neutrosophic Sets and Systems, Vol. 40, 2021 by : Florentin Smarandache
Download or read book Neutrosophic Sets and Systems, Vol. 40, 2021 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 279 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.
Book Synopsis Fuzzy Sets, Fuzzy Logic and Their Applications by : Michael Gr. Voskoglou
Download or read book Fuzzy Sets, Fuzzy Logic and Their Applications written by Michael Gr. Voskoglou and published by MDPI. This book was released on 2020-03-25 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book contains 20 articles collected from amongst the 53 total submitted manuscripts for the Special Issue “Fuzzy Sets, Fuzzy Loigic and Their Applications” of the MDPI journal Mathematics. The articles, which appear in the book in the series in which they were accepted, published in Volumes 7 (2019) and 8 (2020) of the journal, cover a wide range of topics connected to the theory and applications of fuzzy systems and their extensions and generalizations. This range includes, among others, management of the uncertainty in a fuzzy environment; fuzzy assessment methods of human-machine performance; fuzzy graphs; fuzzy topological and convergence spaces; bipolar fuzzy relations; type-2 fuzzy; and intuitionistic, interval-valued, complex, picture, and Pythagorean fuzzy sets, soft sets and algebras, etc. The applications presented are oriented to finance, fuzzy analytic hierarchy, green supply chain industries, smart health practice, and hotel selection. This wide range of topics makes the book interesting for all those working in the wider area of Fuzzy sets and systems and of fuzzy logic and for those who have the proper mathematical background who wish to become familiar with recent advances in fuzzy mathematics, which has entered to almost all sectors of human life and activity.
Book Synopsis Neutrosophic Sets and Systems, Vol. 38, 2020 by : Florentin Smarandache
Download or read book Neutrosophic Sets and Systems, Vol. 38, 2020 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 662 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.
Book Synopsis Neutrosophic Sets and Systems, Vol. VII by : Florentin Smarandache, Mumtaz Ali
Download or read book Neutrosophic Sets and Systems, Vol. VII written by Florentin Smarandache, Mumtaz Ali and published by Infinite Study. This book was released on 2015-02-01 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: Twelve papers on soft interval-valued neutrosophic rough sets, fuzzy neutosophic relation equations with geometric programming, rough neutrosophic multi-attribute decision-making, classes of neutrosophic crisp nearly open sets and possible application to GIS topology, neutrosophic probability in physics, and similar topics. Contributors: H. E. Khalid, K. Mondal, S. Pramanik, A. A. Salama, S. Broumi, F. Smarandache, F. Yuhua, M. Ali, M. Shabir, V. Patrascu, S. Ye, J. Fu, J. Ye, A. Hussain, and L. Vladareanu.
Download or read book Rough Sets written by Lech Polkowski and published by Springer Science & Business Media. This book was released on 2013-06-05 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to mathematical structures essential for Rough Set Theory. The book enables the reader to systematically study all topics of rough set theory. After a detailed introduction in Part 1 along with an extensive bibliography of current research papers. Part 2 presents a self-contained study that brings together all the relevant information from respective areas of mathematics and logics. Part 3 provides an overall picture of theoretical developments in rough set theory, covering logical, algebraic, and topological methods. Topics covered include: algebraic theory of approximation spaces, logical and set-theoretical approaches to indiscernibility and functional dependence, topological spaces of rough sets. The final part gives a unique view on mutual relations between fuzzy and rough set theories (rough fuzzy and fuzzy rough sets). Over 300 excercises allow the reader to master the topics considered. The book can be used as a textbook and as a reference work.
