A Study to Generate a Weak Order from a Partially Ordered Set, Taken. . .
81
Klein, D. J., & Ivanciuc, T. (2006). Directed reaction graphs as posets. In R. Bruggemann & L.
Carlsen (Eds.), Partial order in environmental sciences and chemistry (pp. 35–57). Berlin:
Springer.
Loppi, S., & Pirintsos, S. A. (2003). Epiphytic lichens as sentinels for heavy metal pollution at
forest ecosystems (central Italy). Environmental Pollution, 121, 327–332.
Loppi, S., Pirintsos, S. A., & De Dominicis, V. (1999). Soil contribution to the elemental
composition of epiphytic lichens (Tuscany, central Italy). Environmental Monitoring and
Assessment, 58, 121–131.
Newlin, J., & Patil, G. P. (2010). Application of partial order to stream channel assessment at
bridge infrastructure for mitigation management. Environmental and Ecological Statistics, 17,
437–454.
Nimis, P. L., & Bargagli, R. (1999). Linee-guidaper l’utilizzo come bioaccumulatori di metalli
in traccia. In: Proceedings of Workshop Biomonitorraggio della qualita dell’ ariasul terratorio
nazionale, Roma 26–27, Giugno 1998, ANPA-Serie Atti, pp. 279–287
Nimis, P. L., Lazzarin, G., Lazzarin, A., & Skert, N. (2000). Biomonitoring of trace elements with
lichens in Veneto (NE Italy). Science of the Total Environment, 255, 97–111.
Patil, G. P., & Taillie, C. (2004). Multiple indicators, partially ordered sets, and linear extensions:
Multi-criterion ranking and prioritization. Environmental and Ecological Statistics, 11, 199–
228.
Pavan, M., & Todeschini, R. (2004). New indices for analysing partial ranking diagrams. Analytica
Chimica Acta, 515, 167–181.
Pirintsos, S. A., & Loppi, S. (2008). Biomonitoring atmospheric pollution: The challenge of times
in environmental policy on air quality. Environmental Pollution, 151, 269–271.
Pirintsos, S. A., Matsi, T., Vokou, D., Gaggi, C., & Loppi, S. (2006). Vertical distribution patterns of
trace elements in an urban environment as reflected by their accumulation in lichen transplants.
Journal of Atmospheric Chemistry, 54, 121–131.
Pirintsos, S., Bariotakis, M., Kalogrias, V., Katsogianni, S., & Bruggemann, R. (2014). Hasse
diagram technique can further improve the interpretation of results in multielemental largescale biomonitoring studies of atmospheric metal pollution. In R. Bruggemann, L. Carlsen, &
J. Wittmann (Eds.), Multi-indicator systems and modelling in partial order (pp. 237–251). New
York: Springer.
Pudenz, S., & Heininger, P. (2006). Comparative evaluation and analysis of water sediment data.
In R. Bruggemann & L. Carlsen (Eds.), Partial order in environmental sciences and chemistry
(pp. 111–151). Berlin: Springer.
Quintero, N. Y., Bruggemann, R., & Restrepo, G. (2018). Mapping posets into low dimensional
spaces: The case of uranium trappers. MATCH Communications in Mathematical and in
Computer Chemistry, 80, 793–820.
Restrepo, G., & Bruggemann, R. (2008). Dominance and separability in posets, their application to
isoelectronic species with equal total charge. Journal of Mathematical Chemistry, 44, 577–602.
Restrepo, G., Bruggemann, R., Weckert, M., Gerstmann, S., & Frank, H. (2008a). Ranking
patterns, an application to refrigerants. MATCH Communications in Mathematical and in
Computer Chemistry, 59, 555–584.
Restrepo, G., Weckert, M., Bruggemann, R., Gerstmann, S., & Frank, H. (2008b). Ranking of
refrigerants. Environmental Science & Technology, 42, 2925–2930.
Rocco, C. M., & Tarantola, S. (2014). Evaluating ranking robustness in multi-indicator uncertain
matrices: An application based on simulation and global sensitivity analysis. In R. Bruggemann, L. Carlsen, & J. Wittmann (Eds.), Multi-indicator systems and modelling in partial order
(pp. 275–292). New York: Springer.
Simon, U., Bruggemann, R., & Pudenz, S. (2004). Aspects of decision support in water management – Example Berlin and Potsdam (Germany) I – Spatially differentiated evaluation. Water
Research, 38, 1809–1816.
81
Klein, D. J., & Ivanciuc, T. (2006). Directed reaction graphs as posets. In R. Bruggemann & L.
Carlsen (Eds.), Partial order in environmental sciences and chemistry (pp. 35–57). Berlin:
Springer.
Loppi, S., & Pirintsos, S. A. (2003). Epiphytic lichens as sentinels for heavy metal pollution at
forest ecosystems (central Italy). Environmental Pollution, 121, 327–332.
Loppi, S., Pirintsos, S. A., & De Dominicis, V. (1999). Soil contribution to the elemental
composition of epiphytic lichens (Tuscany, central Italy). Environmental Monitoring and
Assessment, 58, 121–131.
Newlin, J., & Patil, G. P. (2010). Application of partial order to stream channel assessment at
bridge infrastructure for mitigation management. Environmental and Ecological Statistics, 17,
437–454.
Nimis, P. L., & Bargagli, R. (1999). Linee-guidaper l’utilizzo come bioaccumulatori di metalli
in traccia. In: Proceedings of Workshop Biomonitorraggio della qualita dell’ ariasul terratorio
nazionale, Roma 26–27, Giugno 1998, ANPA-Serie Atti, pp. 279–287
Nimis, P. L., Lazzarin, G., Lazzarin, A., & Skert, N. (2000). Biomonitoring of trace elements with
lichens in Veneto (NE Italy). Science of the Total Environment, 255, 97–111.
Patil, G. P., & Taillie, C. (2004). Multiple indicators, partially ordered sets, and linear extensions:
Multi-criterion ranking and prioritization. Environmental and Ecological Statistics, 11, 199–
228.
Pavan, M., & Todeschini, R. (2004). New indices for analysing partial ranking diagrams. Analytica
Chimica Acta, 515, 167–181.
Pirintsos, S. A., & Loppi, S. (2008). Biomonitoring atmospheric pollution: The challenge of times
in environmental policy on air quality. Environmental Pollution, 151, 269–271.
Pirintsos, S. A., Matsi, T., Vokou, D., Gaggi, C., & Loppi, S. (2006). Vertical distribution patterns of
trace elements in an urban environment as reflected by their accumulation in lichen transplants.
Journal of Atmospheric Chemistry, 54, 121–131.
Pirintsos, S., Bariotakis, M., Kalogrias, V., Katsogianni, S., & Bruggemann, R. (2014). Hasse
diagram technique can further improve the interpretation of results in multielemental largescale biomonitoring studies of atmospheric metal pollution. In R. Bruggemann, L. Carlsen, &
J. Wittmann (Eds.), Multi-indicator systems and modelling in partial order (pp. 237–251). New
York: Springer.
Pudenz, S., & Heininger, P. (2006). Comparative evaluation and analysis of water sediment data.
In R. Bruggemann & L. Carlsen (Eds.), Partial order in environmental sciences and chemistry
(pp. 111–151). Berlin: Springer.
Quintero, N. Y., Bruggemann, R., & Restrepo, G. (2018). Mapping posets into low dimensional
spaces: The case of uranium trappers. MATCH Communications in Mathematical and in
Computer Chemistry, 80, 793–820.
Restrepo, G., & Bruggemann, R. (2008). Dominance and separability in posets, their application to
isoelectronic species with equal total charge. Journal of Mathematical Chemistry, 44, 577–602.
Restrepo, G., Bruggemann, R., Weckert, M., Gerstmann, S., & Frank, H. (2008a). Ranking
patterns, an application to refrigerants. MATCH Communications in Mathematical and in
Computer Chemistry, 59, 555–584.
Restrepo, G., Weckert, M., Bruggemann, R., Gerstmann, S., & Frank, H. (2008b). Ranking of
refrigerants. Environmental Science & Technology, 42, 2925–2930.
Rocco, C. M., & Tarantola, S. (2014). Evaluating ranking robustness in multi-indicator uncertain
matrices: An application based on simulation and global sensitivity analysis. In R. Bruggemann, L. Carlsen, & J. Wittmann (Eds.), Multi-indicator systems and modelling in partial order
(pp. 275–292). New York: Springer.
Simon, U., Bruggemann, R., & Pudenz, S. (2004). Aspects of decision support in water management – Example Berlin and Potsdam (Germany) I – Spatially differentiated evaluation. Water
Research, 38, 1809–1816.