Title Novel developments in uncertainty representation and processing : advances in intuitionistic fuzzy sets and generalized nets : proceedings of 14th International Conference on Intuitionistic Fuzzy Sets and Generalized Nets / Krassimir T. Atanassov, Oscar Castillo, Janusz Kacprzyk, Maciej Krawczak, Patricia Melin, Sotir Sotirov, Evdokia Sotirova, Eulalia Szmidt, Guy De Tré, Sławomir Zadrożny, editors

Published Cham : Springer, [2016] ©2016

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Description 1 online resource (x, 400 pages) Series Advances in intelligent systems and computing ; 401 Advances in intelligent systems and computing ; 401. Contents Preface; Contents; Part I General Issues in the Representation and Processing of Uncertainty and Imprecision; 1 Paired Structures, Imprecision Types and Two-Level Knowledge Representation by Means of Opposites; Abstract; 1 Introduction; 2 Opposite L-Fuzzy Sets; 3 Paired Fuzzy Sets and Paired Fuzzy Structures; 4 The Imprecision Issue; 5 Paired Structures in Logics and Knowledge Representation; 5.1 Paired Representation of Classical Logic; 5.2 Paired Representation of Intuitionistic Logic; 5.3 Bipolar Knowledge Representation Models; 6 Conclusions; Acknowledgment; References Suggestions to Make Dempster's Rule Convenient for Knowledge Combining1 Introduction; 2 An Interpretation of Basic Probability Assignments as Sources of Diagnostic Knowledge; 2.1 The Classical Dempster's Combination and a Medical Diagnosis; 2.2 Example; 2.3 Tuning a Combination of Probability Assignments; 2.4 A Model of the Basic Probability Assignment in Medical Diagnosis; 3 Simulations; 4 Results; 5 Discussion and Conclusions; References; On Partially Ordered Product Spaces; 1 Introduction; 2 Product Posets; 3 States; 4 Dynamical Systems; 5 Conclusions; References Various Kinds of Ordinal Sums of Fuzzy Implications1 Introduction; 2 Preliminaries; 2.1 Triangular Norms; 2.2 Fuzzy Implications; 3 Ordinal Sum I; 4 Ordinal Sum II; 5 Ordinal Sum III; 6 Ordinal Sum IV; 7 Conclusion; References; A-Poset with Multiplicative Operation; 1 Introduction; 2 A-Posets and Effect Algebras; 3 Algebraic Structures with Multiplicative Operation; 4 Probability on A-Posets; 5 Conclusion; References; 6 Method for Uncertainty Measurement and Its Application to the Formation of Interval Type-2 Fuzzy Sets; Abstract; 1 Introduction; 2 Interval Type-2 Fuzzy Sets 3 Proposed Method for Measuring Uncertainty3.1 Dispersion in Data; 3.2 Relation Coefficient of Variation with Uncertainty; 3.3 Proposed Method; 3.4 IT2 Sugeno Fuzzy Consequents; 4 Experimental Results and Discussion; 4.1 Experimental Results; 4.2 Results Discussion; 5 Conclusion and Future Work; 5.1 Conclusions; 5.2 Future Work; Acknowledgement; References; A Proposal for a Method of Defuzzification Based on the Golden Ratio -- GR; 1 Introduction; 2 Fundamental Concepts; 3 Methods of Defuzzification; 4 The Golden Ratio Method; 5 Observation; 6 Conclusions; References A New Approach to the Equivalence of Relational and Object-Oriented Databases1 Formulation of the Problem; 2 Database for Multistage Recognition; 3 Relational Model; 4 Object-Oriented Model; 5 Equivalence of the Relational Model and Object-Oriented Model; 6 Concluding Remarks; References; Part II Intuitionistic Fuzzy Sets: Foundations, Tools and Techniques; Intuitionistic Fuzzy Implications and Klir-Yuan's Axioms; 1 Introduction; 2 On the Operations ̀̀Implication'' and ̀̀Negation'' in Intuitionistic Fuzzy Propositional Calculus Summary This volume contains, first of all, the papers presented at the Fourteenth International Workshop on Intuitionistic Fuzzy Sets and Generalized Nets (IWIFSGN-2015) held on October 26-28, 2015 in Cracow, Poland. Moreover, the volume contains some papers of a particular relevance not presented at the Workshop. The Workshop is mainly devoted to the presentation of recent research results in the broadly perceived fields of intuitionistic fuzzy sets and generalized nets initiated by Professor Krassimir T. Atanassov whose constant inspiration and support is crucial for such a widespread growing popularity and recognition of these areas. The Workshop is a next edition of a series of the IWIFSGN Workshops organized for years by the Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Sofia, Bulgaria, and WIT -- Warsaw School of Information Technology, Warsaw, Poland, and co-organized by: Matej Bel University, Banska Bystrica, Slovakia, Universidad Publica de Navarra, Pamplona, Spain, Universidade de Tras-Os-Montes e Alto Douro, Vila Real, Portugal, Prof. Asen Zlatarov University, Burgas, Bulgaria, Complutense University, Madrid, Spain, and the University of Westminster, Harrow, UK Bibliography Includes bibliographical references and index Notes Vendor-supplied metadata Subject Fuzzy sets -- Congresses Intuitionistic mathematics -- Congresses Artificial intelligence. MATHEMATICS -- General. Fuzzy sets Intuitionistic mathematics Genre/Form Electronic books proceedings (reports) Conference papers and proceedings Conference papers and proceedings. Actes de congrès. Form Electronic book Author Atanasov, Krasimir, editor Castillo, Oscar, editor Kacprzyk, Janusz, editor Krawczak, Maciej, editor Melin, Patricia, 1962- editor. Sotirov, Sotir, editor Sotirova, Evdokia, editor Szmidt, Eulalia, editor Tré, Guy de, editor Zadrożny, Sławomir, editor ISBN 9783319262116 3319262114

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