Evaluations as Sets over Lattices – Application Point of View
101
if actually the results are not that convincing, the theoretical framework needs still
future work before a final conclusion about its usefulness in case of non-binary data
can be done.
References
Bruggemann, R., & Kerber, A. (2018). Fuzzy logic and partial order; first attempts with the
new PyHasse-Program L_eval. Communications in Mathematical and in Computer Chemistry
(MATCH), 80, 745–768.
Bruggemann, R., Kaune, A., Komossa, D., Kreimes, K., Pudenz, S., & Voigt, K. (1997).
Anwendungen der Theorie partiell geordneter Mengen in Bewertungsfragen. DGM, 41(5),
205–209.
Bruggemann, R., Voigt, K., Kaune, A., Pudenz, S., Komossa, D., & Friedrich, J. (1998).
Vergleichende ökologische Bewertung von Regionen in Baden- Württemberg GSF-Bericht
20/98. Neuherberg: GSF.
Bruggemann, R., Pudenz, S., Voigt, K., Kaune, A., & Kreimes, K. (1999). An algebraic/graphical
tool to compare ecosystems with respect to their pollution. IV: Comparative regional analysis
by Boolean arithmetics. Chemosphere, 38, 2263–2279.
Bruggemann, R., Kerber, A., & Restrepo, G. (2011). Ranking objects using fuzzy orders, with
an application to refrigerants. MATCH Communications in Mathematical and in Computer
Chemistry, 66, 581–603.
Bruggemann, R., Carlsen, L., Voigt, K., & Wieland, R. (2014). PyHasse software for partial order
analysis. In R. Bruggemann, L. Carlsen, & J. Wittmann (Eds.), Multi-indicator systems and
modelling in partial order (pp. 389–423). New York: Springer.
Duquenne, V. (1987). Contextual implications between attributes and some properties of finite
lattices. In: B. Ganter, R. Wille, & K. E. Wolff (Eds.), Beiträge zur Begriffsanalyse (pp. 213–
239). BI Wissenschaftsverlag.
Ganter, B., & Wille, R. (1989). Conceptual scaling. In F. Roberts (Ed.), Applications of combinatorics and graph theory to the biological and social sciences (pp. 139–167). New York:
Springer.
Ganter, B., & Wille, R. (1996). Formale Begriffsanalyse Mathematische Grundlagen. Berlin:
Springer.
Restrepo, G., Weckert, M., Bruggemann, R., Gerstmann, S., & Frank, H. (2008a). Ranking of
refrigerants. Environmental Science and Technology, 42, 2925–2930.
Restrepo, G., Bruggemann, R., Weckert, M., Gerstmann, S., & Frank, H. (2008b). Ranking
patterns, an application to refrigerants. MATCH Communications in Mathematical and in
Computer Chemistry, 59, 555–584.
101
if actually the results are not that convincing, the theoretical framework needs still
future work before a final conclusion about its usefulness in case of non-binary data
can be done.
References
Bruggemann, R., & Kerber, A. (2018). Fuzzy logic and partial order; first attempts with the
new PyHasse-Program L_eval. Communications in Mathematical and in Computer Chemistry
(MATCH), 80, 745–768.
Bruggemann, R., Kaune, A., Komossa, D., Kreimes, K., Pudenz, S., & Voigt, K. (1997).
Anwendungen der Theorie partiell geordneter Mengen in Bewertungsfragen. DGM, 41(5),
205–209.
Bruggemann, R., Voigt, K., Kaune, A., Pudenz, S., Komossa, D., & Friedrich, J. (1998).
Vergleichende ökologische Bewertung von Regionen in Baden- Württemberg GSF-Bericht
20/98. Neuherberg: GSF.
Bruggemann, R., Pudenz, S., Voigt, K., Kaune, A., & Kreimes, K. (1999). An algebraic/graphical
tool to compare ecosystems with respect to their pollution. IV: Comparative regional analysis
by Boolean arithmetics. Chemosphere, 38, 2263–2279.
Bruggemann, R., Kerber, A., & Restrepo, G. (2011). Ranking objects using fuzzy orders, with
an application to refrigerants. MATCH Communications in Mathematical and in Computer
Chemistry, 66, 581–603.
Bruggemann, R., Carlsen, L., Voigt, K., & Wieland, R. (2014). PyHasse software for partial order
analysis. In R. Bruggemann, L. Carlsen, & J. Wittmann (Eds.), Multi-indicator systems and
modelling in partial order (pp. 389–423). New York: Springer.
Duquenne, V. (1987). Contextual implications between attributes and some properties of finite
lattices. In: B. Ganter, R. Wille, & K. E. Wolff (Eds.), Beiträge zur Begriffsanalyse (pp. 213–
239). BI Wissenschaftsverlag.
Ganter, B., & Wille, R. (1989). Conceptual scaling. In F. Roberts (Ed.), Applications of combinatorics and graph theory to the biological and social sciences (pp. 139–167). New York:
Springer.
Ganter, B., & Wille, R. (1996). Formale Begriffsanalyse Mathematische Grundlagen. Berlin:
Springer.
Restrepo, G., Weckert, M., Bruggemann, R., Gerstmann, S., & Frank, H. (2008a). Ranking of
refrigerants. Environmental Science and Technology, 42, 2925–2930.
Restrepo, G., Bruggemann, R., Weckert, M., Gerstmann, S., & Frank, H. (2008b). Ranking
patterns, an application to refrigerants. MATCH Communications in Mathematical and in
Computer Chemistry, 59, 555–584.