Tangent circle algebras

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 2561, Issue , 2002, Pages 300-313

  Düntsch, Ivo ^a   Roubens, Marc ^b  

^a BROCK UNIVERSITY   (Canada)

^b UNIVERSITY OF LIÈGE   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

FORMAL LOGIC;

BOOLEAN OPERATIONS; FIRST ORDER LOGIC; PREFERENCE RELATION; RELATION ALGEBRAS; RELATIONAL COMPOSITION; RELATIONAL OPERATIONS; RELATIONAL REASONING; VARIABLE FRAGMENT;

ALGEBRA;

EID: 84947230560     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-36280-0_21     Document Type: Conference Paper

References (19)

1. Abbas, M., Vincke, P.: Tangent circle orders: Numerical representation and properties. Working paper 94/06, SMG, Free University of Brussels (1994) pvincke@smg.ulb.ac.be.
2. Fishburn, P.C.: Intransitive indifference with unequal in difference intervals. J. Math. Psychology 7 (1970) 144-149
3. Fishburn, P.C.: Interval orders and interval graphs. John Wiley, New York (1985)
4. Bridges, D.S., Mehta, G.B.: Representation of preference orderings. In: Lecture Notes in Economics and Mathematical Systems. Volume 422. Springer-Verlag, Berlin (1995)
5. Fishburn, P.C.: Nontransitive preferences in decision theory. J. of Risk and Uncertainty 7 (1991) 113-134
6. Roberts, F.: Measurement Theory. Volume 7 of Encyclopaedia of Mathematics. Addison-Wesley, Reading, Mass. (1979)
7. Roubens, M., Vincke, P.: Preference Modelling. Volume 250 of Lecture Notes in Economics and Mathematical Sciences. Springer-Verlag, Berlin (1985)
8. Abbas, M., Pirlot, M., Vincke, P.: Tangent circle orders: a simple non transitive order structure. Manuscript, MATHRO, Faculté polytechnique de Mons (2001) Marc.Pirlot@fpms.ac.be.
9. Fodor, J., Roubens, M.: Parametrized preference structures and some geometrical interpretation. J. Multi-Crit. Decis. Anal. 6 (1997) 253-258
10. Andréka, H., Düntsch, I., Németi, I.: Binary relations and permutation groups. Mathematical Logic Quarterly 41 (1995) 197-216
11. Jónsson, B.: The theory of binary relations. In Andréka, H., Monk, J.D., Németi, I., eds.: Algebraic Logic. Volume 54 of Colloquia Mathematica Societatis János Bolyai. North Holland, Amsterdam (1991) 245-292
12. Scheinerman, E., Wierman, J.: On circle containment orders. Order 4 (1988) 315-318
13. Tarski, A., Givant, S.: A formalization of set theory without variables. Volume 41 of Colloquium Publications. Amer. Math. Soc., Providence (1987)
14. Jónsson, B.: Maximal algebras of binary relations. Contemporary Mathematics 33 (1984) 299-307
15. Düntsch, I., Wang, H., McCloskey, S.: A relation algebraic approach to the Region Connection Calculus. Theoretical Computer Science 255 (2001) 63-83
16. de Laguna, T.: Point, line and surface as sets of solids. The Journal of Philosophy 19 (1922) 449-461
17. Nicod, J.: Geometry in a sensible world. Doctoral thesis, Sorbonne, Paris (1924) English translation in Geometry and Induction, Routledge and Kegan Paul, 1969.
18. Düntsch, I., Wang, H., McCloskey, S.: Relation algebras in qualitative spatial reasoning. Fundamenta Informaticae (2000) 229-248
19. Allen, J.F.: Maintaining knowledge about temporal intervals. Communications of the ACM 26 (1983) 832-843