Dedekind categories with cutoff operators
Fuzzy Sets and Systems
Relation algebraic approaches to fuzzy relations
RAMICS'11 Proceedings of the 12th international conference on Relational and algebraic methods in computer science
A first-order calculus for allegories
RAMICS'11 Proceedings of the 12th international conference on Relational and algebraic methods in computer science
An algebraic approach to preference relations
RAMICS'11 Proceedings of the 12th international conference on Relational and algebraic methods in computer science
Constructions around partialities
RAMICS'11 Proceedings of the 12th international conference on Relational and algebraic methods in computer science
Typed linear algebra for weigthed (probabilistic) automata
CIAA'12 Proceedings of the 17th international conference on Implementation and Application of Automata
Relations as executable specifications: taming partiality and non-determinism using invariants
RAMiCS'12 Proceedings of the 13th international conference on Relational and Algebraic Methods in Computer Science
Relation algebras, matrices, and multi-valued decision diagrams
RAMiCS'12 Proceedings of the 13th international conference on Relational and Algebraic Methods in Computer Science
Relational concepts in social choice
RAMiCS'12 Proceedings of the 13th international conference on Relational and Algebraic Methods in Computer Science
RAMiCS'12 Proceedings of the 13th international conference on Relational and Algebraic Methods in Computer Science
NetKAT: semantic foundations for networks
Proceedings of the 41st ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages
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Relational mathematics is to operations research and informatics what numerical mathematics is to engineering: it is intended to help modelling, reasoning, and computing. Its applications are therefore diverse, ranging from psychology, linguistics, decision aid, and ranking to machine learning and spatial reasoning. Although many developments have been made in recent years, they have rarely been shared amongst this broad community of researchers. This first comprehensive overview begins with an easy introduction to the topic, assuming a minimum of prerequisites; but it is nevertheless theoretically sound and up to date. It is suitable for applied scientists, explaining all the necessary mathematics from scratch using a multitude of visualised examples, via matrices and graphs. It ends with tangible results on the research level. The author illustrates the theory and demonstrates practical tasks in operations research, social sciences and the humanities.