Partial Order Concepts in Applied Sciences /
This book illustrates recent advances in applications of partial order theory and Hasse diagram techniques to data analysis, mainly in the socio-economic and environmental sciences. For years, partial order theory has been considered a fundamental branch of mathematics of only theoretical interest....
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Corporate Authors: | |
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Group Author: | ; |
Published: |
Springer International Publishing : Imprint: Springer,
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Publisher Address: | Cham : |
Publication Dates: | 2017. |
Literature type: | eBook |
Language: | English |
Subjects: | |
Online Access: |
http://dx.doi.org/10.1007/978-3-319-45421-4 |
Summary: |
This book illustrates recent advances in applications of partial order theory and Hasse diagram techniques to data analysis, mainly in the socio-economic and environmental sciences. For years, partial order theory has been considered a fundamental branch of mathematics of only theoretical interest. In recent years, its effectiveness as a tool for data analysis is increasingly being realized and many applications of partially ordered sets to real problems in statistics and applied sciences have appeared. Main examples pertain to the analysis of complex and multidimensional systems of ordinal |
Carrier Form: | 1 online resource(xi,307pages): illustrations |
ISBN: | 9783319454214 |
Index Number: | GE45 |
CLC: | O153.1 |
Contents: | Part I.Theoretical and methodological advances -- 1.Endowing posets with flesh: if, why and how? -- 2.Incomparability/inequality measures and clustering -- 3.Incomparable what now, IV. Incomparabilities - a modeling challenge -- 4.Partial Ordering and Metrology Analyzing Analytical Performance -- 5.Functionals and synthetic indicators over finite posets -- 6.Evaluation, considered as problem orientable mathematics over lattices -- 7.A combined lexicographic-average rank approach for evaluating uncertain multi-indicator matrices with risk metrics -- Part II.Partial Order Theory in socio-econo |