Index
313
multi-criteria decision problems, 107, 220
target indicators, 107
traditional statistical techniques, 23
Multivariate VSR (MVSR), 142–144
Mutual ranking probability (MRP), 223
N
National Academy of Science (NAS), 154,
157, 158
Non-aggregative approaches, 24, 248, 249, 251
Non-aggregative method, 248
Non-conservative evaluation, 158
O
Outranking methods, 267
P
Partially Ordered Set (POSET), 24, 25, 47, 67,
121, 222, 293, 294
Partial ordering, 168–170
algebra, x–xii
application, viii
biomonitoring measurements, 65–67
combinatorics, x
complexity, 291
data matrix, 292
graphical interface, 303
graph theory
antisymmetry, viii
Hasse diagram, viii–x
reflexivity, viii
transitive reduction, ix
transitivity, ix
Hasse diagrams, 292
international conferences, xiii–xiv
non-parametric method, 109
parameters, 303, 304
and program PyHasse, 116
refrigerants, 99
set of indicators, 291
set of properties, 291
stakeholder’s knowledge, 45, 46
tournament matrix, 302
transposed data matrix, 95–96
See also Sampling theory
Partial ordering methodology
adoption, 255
aggregative compensatory approaches, 251
average rank, 252
composite index, 254
cumulative frequencies distribution, 258,
259
distribution, 254
distribution, emotional status, 251, 252
Eu-SILC dataset, 254
full-time employees, 257
gender status, 255–257
Hasse diagram, 254, 255
hypothesis, 257
identification function, 253
labour status, 255–257
linear order, 252
micro-data level, 255
part-time employees, 255
poset methodology, 251
poverty gap, 257
severity, 253
threshold profile, 252
variables, 251
wealth gap, 257
Partial order theory (POT), 183
graph theory and combinatorics, 24
Hasse diagram, 26–27
indicator systems, 26–27
interplay of indicators and objects, 25–26
metric data, 25
ordinal data, 24–25
Physical activation, 166
Pollution
AC product, 166
air pollution, 121
cadmium, 88
chemical elements, 87, 88
metal atmospheric, 64
metals and metalloids, 64
PyHasse software, 295
river Rhine, 87, 99, 303
Poset theory, 229
Poverty, 18, 19, 34, 46, 65, 228–230, 236, 239
Poverty gap, 257
Power-Weakness Ratio (PWR), 267–270
Principal Component Analysis (PCA), 270
Prioritization
Product yield, 167
Profiles, 219, 220, 223, 225, 229–231, 237,
238
Prokaryotes, 184
PROMETHEE (preference ranking
organisation) method, 45, 291
Purchasing power parity (PPP), 209, 210, 213,
216
313
multi-criteria decision problems, 107, 220
target indicators, 107
traditional statistical techniques, 23
Multivariate VSR (MVSR), 142–144
Mutual ranking probability (MRP), 223
N
National Academy of Science (NAS), 154,
157, 158
Non-aggregative approaches, 24, 248, 249, 251
Non-aggregative method, 248
Non-conservative evaluation, 158
O
Outranking methods, 267
P
Partially Ordered Set (POSET), 24, 25, 47, 67,
121, 222, 293, 294
Partial ordering, 168–170
algebra, x–xii
application, viii
biomonitoring measurements, 65–67
combinatorics, x
complexity, 291
data matrix, 292
graphical interface, 303
graph theory
antisymmetry, viii
Hasse diagram, viii–x
reflexivity, viii
transitive reduction, ix
transitivity, ix
Hasse diagrams, 292
international conferences, xiii–xiv
non-parametric method, 109
parameters, 303, 304
and program PyHasse, 116
refrigerants, 99
set of indicators, 291
set of properties, 291
stakeholder’s knowledge, 45, 46
tournament matrix, 302
transposed data matrix, 95–96
See also Sampling theory
Partial ordering methodology
adoption, 255
aggregative compensatory approaches, 251
average rank, 252
composite index, 254
cumulative frequencies distribution, 258,
259
distribution, 254
distribution, emotional status, 251, 252
Eu-SILC dataset, 254
full-time employees, 257
gender status, 255–257
Hasse diagram, 254, 255
hypothesis, 257
identification function, 253
labour status, 255–257
linear order, 252
micro-data level, 255
part-time employees, 255
poset methodology, 251
poverty gap, 257
severity, 253
threshold profile, 252
variables, 251
wealth gap, 257
Partial order theory (POT), 183
graph theory and combinatorics, 24
Hasse diagram, 26–27
indicator systems, 26–27
interplay of indicators and objects, 25–26
metric data, 25
ordinal data, 24–25
Physical activation, 166
Pollution
AC product, 166
air pollution, 121
cadmium, 88
chemical elements, 87, 88
metal atmospheric, 64
metals and metalloids, 64
PyHasse software, 295
river Rhine, 87, 99, 303
Poset theory, 229
Poverty, 18, 19, 34, 46, 65, 228–230, 236, 239
Poverty gap, 257
Power-Weakness Ratio (PWR), 267–270
Principal Component Analysis (PCA), 270
Prioritization
Product yield, 167
Profiles, 219, 220, 223, 225, 229–231, 237,
238
Prokaryotes, 184
PROMETHEE (preference ranking
organisation) method, 45, 291
Purchasing power parity (PPP), 209, 210, 213,
216