| Description |
1 online resource (xii, 356 pages) : illustrations (some color) |
| Series |
Studies in fuzziness and soft computing, 1434-9922 ; volume 343 |
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Studies in fuzziness and soft computing ; v. 343. 1434-9922
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| Contents |
Intro; Preface; Contents; 1 Fuzzy Statistical Decision-Making; Abstract; 1 Introduction; 2 Literature Review: Graphical Illustrations; 2.1 Classification with Respect to Publication Years; 2.2 Classification with Respect to Affiliations; 2.3 Classification with Respect to Authors; 2.4 Classification with Respect to Countries; 2.5 Classification with Respect to Document Type; 2.6 Classification with Respect to Subject Areas; 3 Books on Fuzzy Statistics; 4 Fuzzy Statistical Decision-Making: An Example; 5 Conclusion; References; 2 Fuzzy Probability Theory I: Discrete Case; Abstract |
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1 Introduction2 Fuzzy Random Variables; 2.1 The FRV Model by Puri and Ralescu; 2.2 The FRV Model by Buckley Based on Kwakernaak; 3 Alpha-Cuts; 4 Fuzzy Probability; 5 Fuzzy Discrete Expectation; 6 Fuzzy Conditional Probability; 7 Fuzzy Independency; 8 Fuzzy Bayes Formula; 9 Fuzzy Hypergeometric Distribution; 10 Fuzzy Binomial Distribution; 11 Fuzzy Poisson Distribution; 12 Conclusion; References; 3 Fuzzy Probability Theory II: Continuous Case; Abstract; 1 Introduction; 2 Fuzzy Continuous Expectation; 3 Fuzzy Uniform Distribution; 4 Fuzzy Exponential Distribution; 5 Fuzzy Laplace Distribution |
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6 Fuzzy Normal Distribution7 Fuzzy Lognormal Distribution; 8 Conclusion; References; 4 On Fuzzy Bayesian Inference; Abstract; 1 Introduction; 2 Fuzzy Numbers and Fuzzy Vectors; 3 Fuzzy A-priori Distributions; 4 Fuzzy Data; 5 Generalized Bayes' Theorem; 6 Fuzzy Predictive Distributions; 7 Example; 8 Final Remark; References; 5 Fuzzy Central Tendency Measures; Abstract; 1 Introduction; 2 Literature Review; 3 Central Tendency Measures; 3.1 Mean; 3.2 Median; 3.3 Mode; 3.4 Geometric Mean; 3.5 Harmonic Mean; 3.6 Quadratic Mean; 3.7 Graphical Representation of Data; 3.7.1 Stem-and-Leaf Plots |
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3.7.2 Frequency Distribution Tables3.7.3 Histograms; 3.7.4 Frequency Polygons; 3.7.5 Bar Charts; 3.7.6 Pie Charts; 4 Central Tendency Measures Under Fuzziness; 4.1 Fuzzy Arithmetic Mean; 4.2 Fuzzy Median; 4.3 Fuzzy Mode; 5 Fuzzy Frequency Distribution; 6 Fuzzy Graphics; 6.1 Fuzzy Stem-and-Leaf Display; 6.2 Fuzzy Histograms; 6.3 Fuzzy Frequency Polygons; 7 Conclusion; References; 6 Fuzzy Dispersion Measures; Abstract; 1 Introduction; 2 Classical Dispersion Measures; 2.1 Standard Deviation and Variance; 2.2 Mean Absolute Deviation; 2.3 Coefficient of Variation; 2.4 Range |
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2.5 The Interquartile Range3 Dispersion Measures Under Fuzziness; 3.1 Fuzzy Variance and Fuzzy Standard Deviation; 3.2 Fuzzy Mean Absolute Deviation; 3.3 Fuzzy Coefficient of Variation; 3.4 Fuzzy Range; 3.5 Fuzzy Interquartile Range; 4 Conclusion; References; 7 Sufficiency, Completeness, and Unbiasedness Based on Fuzzy Sample Space; Abstract; 1 Introduction and Motivation; 2 Literature Survey; 3 Preliminaries; 4 Sufficiency and Completeness; 5 Unbiasedness; 6 Numerical Examples; 7 Conclusion; References; 8 Fuzzy Confidence Regions; Abstract; 1 Introduction; 2 Fuzzy Data |
| Summary |
This book offers a comprehensive reference guide to fuzzy statistics and fuzzy decision-making techniques. It provides readers with all the necessary tools for making statistical inference in the case of incomplete information or insufficient data, where classical statistics cannot be applied. The respective chapters, written by prominent researchers, explain a wealth of both basic and advanced concepts including: fuzzy probability distributions, fuzzy frequency distributions, fuzzy Bayesian inference, fuzzy mean, mode and median, fuzzy dispersion, fuzzy p-value, and many others. To foster a better understanding, all the chapters include relevant numerical examples or case studies. Taken together, they form an excellent reference guide for researchers, lecturers and postgraduate students pursuing research on fuzzy statistics. Moreover, by extending all the main aspects of classical statistical decision-making to its fuzzy counterpart, the book presents a dynamic snapshot of the field that is expected to stimulate new directions, ideas and developments |
| Notes |
Includes index |
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Online resource; title from PDF title page (SpringerLink, viewed July 20, 2016) |
| Subject |
Fuzzy decision making.
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Probability & statistics.
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Operational research.
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Artificial intelligence.
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Mathematics -- Probability & Statistics -- General.
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Business & Economics -- Operations Research.
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Computers -- Intelligence (AI) & Semantics.
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Fuzzy decision making
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| Form |
Electronic book
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| Author |
Kahraman, Cengiz, editor.
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Kabak, Özgür, editor
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| ISBN |
9783319390147 |
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3319390147 |
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3319390120 |
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9783319390123 |
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