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Hybrid Reasoning with Non-monotonic Rules
2010This is an introduction to integrating logic programs with first order theories. The main motivation are the needs of Semantic Web to combine reasoning based on rule systems with that based on Description Logics (DL). We focus on approaches which are able to re-use existing reasoners (for DL and for rule systems).
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Monotonicity and robustness of majority rule
Economics Letters, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Learning of non-monotonic rules by simple perceptrons
Journal of Physics A: Mathematical and General, 1998In this paper, we study the generalization ability of a simple perceptron which learns an unrealizable Boolean function represented by a perceptron with a non-monotonic transfer function of reversed-wedge type. This type of non-monotonic perceptron is considered as a variant of multilayer perceptron and is parametrized by a single `wedge' parameter a ...
Kabashima, Yoshiyuki, Inoue, Jun-ichi
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Monotonicity and qualified majority rules
Economic Theory Bulletin, 2018This paper reflects on some results characterizing qualified majority rules using monotonicity as a key axiom. In particular, some errors in the existing literature are detected and ways to fix them are proposed. Then, the role of monotonicity axiom in characterizing majority rules is analyzed.
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L'Hospital Rules for Monotonicity and the Wilker-Anglesio Inequality
The American Mathematical Monthly, 2004(2004). L'Hospital Rules for Monotonicity and the Wilker-Anglesio Inequality. The American Mathematical Monthly: Vol. 111, No. 10, pp. 905-909.
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Learning Rule Ensembles for Ordinal Classification with Monotonicity Constraints
Fundamenta Informaticae, 2009Ordinal classification problems with monotonicity constraints (also referred to as multicriteria classification problems) often appear in real-life applications, however, they are considered relatively less frequently in theoretical studies than regular classification problems.
Krzysztof Dembczynski +2 more
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Population monotonic rules for fair allocation problems
Social Choice and Welfare, 2004We consider the property of population monotonicity in the context of fair allocation problems in private good economies. It is already known that the property is compatible with the equal division lower bound. We show that if the equal division lower bound is replaced with no envy, the compatibility does not hold. We also show that the incompatibility
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Reasoning over Ontologies and Non-monotonic Rules
2015Ontology languages and non-monotonic rule languages are both well-known formalisms in knowledge representation and reasoning, each with its own distinct benefits and features which are quite orthogonal to each other. Both appear in the Semantic Web stack in distinct standards – OWL and RIF – and over the last decade a considerable research effort has ...
Vadim Ivanov +2 more
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Monotonicity Rules in Calculus
The American Mathematical Monthly, 2006Glen Douglas Anderson +2 more
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Monotonicity Violations by Borda’s Elimination and Nanson’s Rules: A Comparison
Group Decision and Negotiation, 2018Dan Felsenthal, Hannu Nurmi
exaly