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Semiring-based CSPs and Valued CSPs: Basic Properties and Comparison (1996)  (Make Corrections)  (39 citations)
Stefano Bistarelli, Hélène Fargier, Ugo Montanari, Francesca Rossi, Thomas Schiex, Gérard Verfaillie
Over-Constrained Systems (Selected papers from the Workshop on Over-Constrained Systems at CP'95, reprints and background papers)



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Abstract: . In this paper we describe two frameworks for constraint solving where classical CSPs, fuzzy CSPs, weighted CSPs, partial constraint satisfaction, and others can be easily cast. One is based on a semiring, and the other one on a totally ordered commutative monoid. We then compare the two approaches and we discuss the relationship between them. The two frameworks have been independently introduced in [2] and [28]. 1 Introduction Classical constraint satisfaction problems (CSPs) [18, 20] are a... (Update)

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BibTeX entry:   (Update)

S. Bistarelli, H. Fargier, U. Montanari, F. Rossi, T. Schiex, and G. Verfaille. Semiring-based CSPs and valued CSPs: Basic properties. In M. Jampel, E. C. Freuder, and M. Maher, editors, Over-Constrained Systems, volume 1106 of Lecture Notes in Computer Science, pages 111--150. Springer, Berlin, 1996. http://citeseer.ist.psu.edu/article/bistarelli96semiringbased.html   More

@incollection{ bistarelli96semiringbased,
    author = "S. Bistarelli and H. Fargier and U. Montanari and F. Rossi and T. Schiex and G. Verfaillie",
    title = "{Semiring-based {CSPs} and Valued {CSPs}: Basic Properties and Comparison}",
    booktitle = "Over-Constrained Systems (Selected papers from the Workshop on Over-Constrained Systems at {CP}'95, reprints and background papers)",
    volume = "1106",
    editor = "M. Jampel and E. Freuder and M. Maher",
    pages = "111--150",
    year = "1996",
    url = "citeseer.ist.psu.edu/article/bistarelli96semiringbased.html" }
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151   The complexity of optimization problems (context) - Krentel - 1988
129   Valued Constraint Satisfaction Problems: Hard and Easy Probl.. - Schiex, Fargier et al. - 1995
127   Constraint satisfaction algorithms (context) - Nadel - 1989
76   Constraint hierarchies and logic programming - Borning, Maher et al. - 1989
74   Constraint Solving over Semirings - Bistarelli, Montanari et al. - 1995
57   The calculus of fuzzy restrictions as a basis for flexible c.. (context) - Dubois, Fargier et al. - 1993
56   Fuzzy constraint satisfaction - Ruttkay - 1994
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53   Axioms for Cooperative Decision Making (context) - Moulin - 1988
50   IEEE Transactions on Pattern Analysis and Machine Intelligen.. (context) - Shapiro, Haralick et al. - 1981
37   Backtrack-free and backtrack-bounded search (context) - Freuder - 1988
37   Constraint relaxation may be perfect (context) - Montanari, Rossi - 1991
34   Optimization in constraint networks (context) - Dechter, Dechter et al. - 1990
31   Scene Labelling by Relaxation Operations (context) - Rosenfeld, Hummel et al. - 1976
30   A class of fuzzy measures based on triangular norms (context) - Dubois, Prade - 1982
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27   Calculus of fuzzy restrictions (context) - Zadeh - 1975
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