Towards a general theory of action and time
Artificial Intelligence
Discrete Mathematics
A survey on temporal reasoning in artificial intelligence
AI Communications
Proper and unit tolerance graphs
Discrete Applied Mathematics - Special volume: Aridam VI and VII, Rutcor, New Brunswick, NJ, USA (1991 and 1992)
Generalizations of semiorders: a review note
Journal of Mathematical Psychology
Preference structures and their numerical representations
Theoretical Computer Science
Maintaining knowledge about temporal intervals
Communications of the ACM
A characterization of PQI interval orders
Discrete Applied Mathematics - Special issue: The 1998 conference on ordinal and symbolic data analysis (OSDA '98)
Tangent circle graphs and 'orders'
Discrete Applied Mathematics
Preference representation with 3-points intervals
Proceedings of the 2006 conference on ECAI 2006: 17th European Conference on Artificial Intelligence August 29 -- September 1, 2006, Riva del Garda, Italy
Paper: Rating and ranking of multiple-aspect alternatives using fuzzy sets
Automatica (Journal of IFAC)
Integrated Computer-Aided Engineering
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In this paper we present a general framework for the comparison of intervals when preference relations have to established. The use of intervals in order to take into account imprecision and vagueness in handling preferences is well known in the literature, but a general theory on how such models behave is lacking. In the paper we generalize the concept of interval (allowing the presence of more than two points). We then introduce the structure of the framework based on the concept of relative position and component set. We provide an exhaustive study of 2-point and 3-point intervals comparison and show the way to generalize such results to n-point intervals.