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Successful development of effective computational systems is a challenge for IT developers across sectors due to uncertainty issues that are inherently present within computational problems. Soft computing proposes one such solution to the problem of uncertainty through the application of generalized set structures including fuzzy sets, rough sets, and multisets. The Handbook of Research on Generalized and Hybrid Set Structures and Applications for Soft Computing presents double blind peer-reviewed and original research on soft computing applications for solving problems of uncertainty within the computing environment. Emphasizing essential concepts on generalized and hybrid set structures that can be applied across industries for complex problem solving, this timely resource is essential to engineers across disciplines, researchers, computer scientists, and graduate-level students.
Book Synopsis Handbook of Research on Generalized and Hybrid Set Structures and Applications for Soft Computing by : John, Sunil Jacob
Download or read book Handbook of Research on Generalized and Hybrid Set Structures and Applications for Soft Computing written by John, Sunil Jacob and published by IGI Global. This book was released on 2016-04-08 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: Successful development of effective computational systems is a challenge for IT developers across sectors due to uncertainty issues that are inherently present within computational problems. Soft computing proposes one such solution to the problem of uncertainty through the application of generalized set structures including fuzzy sets, rough sets, and multisets. The Handbook of Research on Generalized and Hybrid Set Structures and Applications for Soft Computing presents double blind peer-reviewed and original research on soft computing applications for solving problems of uncertainty within the computing environment. Emphasizing essential concepts on generalized and hybrid set structures that can be applied across industries for complex problem solving, this timely resource is essential to engineers across disciplines, researchers, computer scientists, and graduate-level students.
Nature-inspired computation is an interdisciplinary topic area that connects the natural sciences to computer science. Since natural computing is utilized in a variety of disciplines, it is imperative to research its capabilities in solving optimization issues. The Handbook of Research on Natural Computing for Optimization Problems discusses nascent optimization procedures in nature-inspired computation and the innovative tools and techniques being utilized in the field. Highlighting empirical research and best practices concerning various optimization issues, this publication is a comprehensive reference for researchers, academicians, students, scientists, and technology developers interested in a multidisciplinary perspective on natural computational systems.
Book Synopsis Handbook of Research on Natural Computing for Optimization Problems by : Mandal, Jyotsna Kumar
Download or read book Handbook of Research on Natural Computing for Optimization Problems written by Mandal, Jyotsna Kumar and published by IGI Global. This book was released on 2016-05-25 with total page 1015 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nature-inspired computation is an interdisciplinary topic area that connects the natural sciences to computer science. Since natural computing is utilized in a variety of disciplines, it is imperative to research its capabilities in solving optimization issues. The Handbook of Research on Natural Computing for Optimization Problems discusses nascent optimization procedures in nature-inspired computation and the innovative tools and techniques being utilized in the field. Highlighting empirical research and best practices concerning various optimization issues, this publication is a comprehensive reference for researchers, academicians, students, scientists, and technology developers interested in a multidisciplinary perspective on natural computational systems.
This unique collection of research papers offers a comprehensive and up-to-date guide to algebraic approaches to rough sets and reasoning with vagueness. It bridges important gaps, outlines intriguing future research directions, and connects algebraic approaches to rough sets with those for other forms of approximate reasoning. In addition, the book reworks algebraic approaches to axiomatic granularity. Given its scope, the book offers a valuable resource for researchers and teachers in the areas of rough sets and algebras of rough sets, algebraic logic, non classical logic, fuzzy sets, possibility theory, formal concept analysis, computational learning theory, category theory, and other formal approaches to vagueness and approximate reasoning. Consultants in AI and allied fields will also find the book to be of great practical value.
Book Synopsis Algebraic Methods in General Rough Sets by : A. Mani
Download or read book Algebraic Methods in General Rough Sets written by A. Mani and published by Springer. This book was released on 2019-01-11 with total page 733 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique collection of research papers offers a comprehensive and up-to-date guide to algebraic approaches to rough sets and reasoning with vagueness. It bridges important gaps, outlines intriguing future research directions, and connects algebraic approaches to rough sets with those for other forms of approximate reasoning. In addition, the book reworks algebraic approaches to axiomatic granularity. Given its scope, the book offers a valuable resource for researchers and teachers in the areas of rough sets and algebras of rough sets, algebraic logic, non classical logic, fuzzy sets, possibility theory, formal concept analysis, computational learning theory, category theory, and other formal approaches to vagueness and approximate reasoning. Consultants in AI and allied fields will also find the book to be of great practical value.
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.
Book Synopsis NEUTROSOPHIC TRIPLET STRUCTURES, Volume I by : Florentin Smarandache
Download or read book NEUTROSOPHIC TRIPLET STRUCTURES, Volume I written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 198 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” 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 Book Series, Vol. 30, 2019 by : Florentin Smarandache
Download or read book Neutrosophic Sets and Systems Book Series, Vol. 30, 2019 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 293 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 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.
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.
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, 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
The use of fuzzy logic has become prominent in a variety of fields and applications. By implementing these logic sets, problems and uncertainties are more effectively resolved. Emerging Research on Applied Fuzzy Sets and Intuitionistic Fuzzy Matrices is a pivotal reference source for the latest scholarly perspectives on the interdisciplinary use of fuzzy logic theory, focusing on the application of sets and matrices. Highlighting theoretical framework and empirical research findings, this book is ideally designed for academics, practitioners, upper-level students, and professionals interested in an innovative overview of fuzzy logic sets and matrices.
Book Synopsis Emerging Research on Applied Fuzzy Sets and Intuitionistic Fuzzy Matrices by : Adak, Amal Kumar
Download or read book Emerging Research on Applied Fuzzy Sets and Intuitionistic Fuzzy Matrices written by Adak, Amal Kumar and published by IGI Global. This book was released on 2016-11-17 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of fuzzy logic has become prominent in a variety of fields and applications. By implementing these logic sets, problems and uncertainties are more effectively resolved. Emerging Research on Applied Fuzzy Sets and Intuitionistic Fuzzy Matrices is a pivotal reference source for the latest scholarly perspectives on the interdisciplinary use of fuzzy logic theory, focusing on the application of sets and matrices. Highlighting theoretical framework and empirical research findings, this book is ideally designed for academics, practitioners, upper-level students, and professionals interested in an innovative overview of fuzzy logic sets and matrices.
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 Soft Sets by : Sunil Jacob John
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.
A collection of papers from multiple authors. In 2019 and 2020 Smarandache [1, 2, 3, 4] generalized the classical Algebraic Structures to NeutroAlgebraic Structures (or NeutroAlgebras) {whose operations and axioms are partially true, partially indeterminate, and partially false} as extensions of Partial Algebra, and to AntiAlgebraic Structures (or AntiAlgebras) {whose operations and axioms are totally false}. The NeutroAlgebras & AntiAlgebras are a new field of research, which is inspired from our real world. In classical algebraic structures, all axioms are 100%, and all operations are 100% well-defined, but in real life, in many cases these restrictions are too harsh, since in our world we have things that only partially verify some laws or some operations. Using the process of NeutroSophication of a classical algebraic structure we produce a NeutroAlgebra, while the process of AntiSophication of a classical algebraic structure produces an AntiAlgebra.
Book Synopsis NeutroAlgebra Theory Volume I by : Florentin Smarandache
Download or read book NeutroAlgebra Theory Volume I written by Florentin Smarandache and published by Infinite Study. This book was released on 2021-06-21 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of papers from multiple authors. In 2019 and 2020 Smarandache [1, 2, 3, 4] generalized the classical Algebraic Structures to NeutroAlgebraic Structures (or NeutroAlgebras) {whose operations and axioms are partially true, partially indeterminate, and partially false} as extensions of Partial Algebra, and to AntiAlgebraic Structures (or AntiAlgebras) {whose operations and axioms are totally false}. The NeutroAlgebras & AntiAlgebras are a new field of research, which is inspired from our real world. In classical algebraic structures, all axioms are 100%, and all operations are 100% well-defined, but in real life, in many cases these restrictions are too harsh, since in our world we have things that only partially verify some laws or some operations. Using the process of NeutroSophication of a classical algebraic structure we produce a NeutroAlgebra, while the process of AntiSophication of a classical algebraic structure produces an AntiAlgebra.
