Problem Orientable Evaluations as L-Subsets
89
aware that the implications are derived from binary data which originally were
continuous in concept. In another contribution within this book (Bruggemann,
Kerber) the mathematical framework given above is reformulated for programming
purposes and may be helpful for a further understanding of the “problem orientable
evaluations as L-subsets”.
References
Bruggemann, R., & Kerber, A. (2018). Fuzzy logic and partial order; first attempts with the
new PyHasse-program L eval. MATCH, Communications in Mathematical and in Computer
Chemistry, 80, 745–768.
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: Scientific background and description of selected modules. 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 representation properties for finite lattices. In B. Ganter, R. Wille, & K. E. Wolff (Eds.), Beiträge zur Begriffsanalyse
(pp. 213–239). Mannheim: BI Wissenschaftsverlag.
Ganter, B., & Wille, R. (1996). Formale Begriffsanalyse Mathematische Grundlagen. Berlin:
Springer.
Kerber, A. (2006). Contexts, concepts, implications and hypotheses. In R. Bruggemann & L.
Carlsen (Eds.), Partial order in environmental sciences and chemistry (pp. 355–365). Berlin:
Springer.
Kerber, A. (2017). Evaluation and exploration, a problem-oriented approach. Toxicological &
Environmental Chemistry, 99, 1270–1282.
Pollandt, S. (1997). Fuzzy-Begriffe. Berlin: Springer.
Restrepo, G. (2008). Assessment of the environmental acceptability of refrigerants by
discrete mathematics: Cluster analysis and Hasse diagram technique. Doctoral thesis, University of Bayreuth, Germany. Available via http://opus.ub.uni-bayreuth.de/
frontdoor.php?sourceopus=393&la=de
Yevtushenko, S. A. (2000). System of data analysis concept explorer. Proceedings of the 7th
National Conference on Artificial Intelligence, Russia, K II-2000, pp. 127–134. Software: http:/
/sourceforge.net/projects/conexp
89
aware that the implications are derived from binary data which originally were
continuous in concept. In another contribution within this book (Bruggemann,
Kerber) the mathematical framework given above is reformulated for programming
purposes and may be helpful for a further understanding of the “problem orientable
evaluations as L-subsets”.
References
Bruggemann, R., & Kerber, A. (2018). Fuzzy logic and partial order; first attempts with the
new PyHasse-program L eval. MATCH, Communications in Mathematical and in Computer
Chemistry, 80, 745–768.
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: Scientific background and description of selected modules. 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 representation properties for finite lattices. In B. Ganter, R. Wille, & K. E. Wolff (Eds.), Beiträge zur Begriffsanalyse
(pp. 213–239). Mannheim: BI Wissenschaftsverlag.
Ganter, B., & Wille, R. (1996). Formale Begriffsanalyse Mathematische Grundlagen. Berlin:
Springer.
Kerber, A. (2006). Contexts, concepts, implications and hypotheses. In R. Bruggemann & L.
Carlsen (Eds.), Partial order in environmental sciences and chemistry (pp. 355–365). Berlin:
Springer.
Kerber, A. (2017). Evaluation and exploration, a problem-oriented approach. Toxicological &
Environmental Chemistry, 99, 1270–1282.
Pollandt, S. (1997). Fuzzy-Begriffe. Berlin: Springer.
Restrepo, G. (2008). Assessment of the environmental acceptability of refrigerants by
discrete mathematics: Cluster analysis and Hasse diagram technique. Doctoral thesis, University of Bayreuth, Germany. Available via http://opus.ub.uni-bayreuth.de/
frontdoor.php?sourceopus=393&la=de
Yevtushenko, S. A. (2000). System of data analysis concept explorer. Proceedings of the 7th
National Conference on Artificial Intelligence, Russia, K II-2000, pp. 127–134. Software: http:/
/sourceforge.net/projects/conexp