Constraint satisfaction using soft quantifiers

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Constraint satisfaction using soft quantifiers

Ronald R. Yager Machine Intelligence Institute, Iona College New Rochelle, NY 10801 [email protected] (212)249-2047 ABSTRACT Fuzzy sets and other methods have been used to model a softening of constraints in CP problems. Here we suggest an approach to the softening of the CP problem at the meta level, the process used to aggregate the satisfactions to the individual constraints. We suggest the us...

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We initiate the study of constraint satisfaction problems (CSPs) in the presence of counting quantifiers ∃ which assert the existence of at least j elements such that the ensuing property holds. These are natural variants of CSPs in the mould of quantified CSPs (QCSPs). Namely, ∃ := ∃ and ∃ := ∀ (for the domain of size n) We observe that a single counting quantifier ∃ strictly between ∃ and ∀ a...

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We study constraint satisfaction problems (CSPs) in the presence of counting quantifiers ∃≥j, asserting the existence of j distinct witnesses for the variable in question. As a continuation of our previous (CSR 2012) paper [11], we focus on the complexity of undirected graph templates. As our main contribution, we settle the two principal open questions proposed in [11]. Firstly, we complete th...

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ژورنال

عنوان ژورنال: Intelligent Systems in Accounting, Finance & Management

سال: 2004

ISSN: 1055-615X,1099-1174

DOI: 10.1002/isaf.250