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Fuzzy-Rough Modus Ponens and Modus Tollens as a Basis for Approximate Reasoning
2004We have proposed a fuzzy rough set approach without using any fuzzy logical connectives to extract gradual decision rules from decision tables. In this paper, we discuss the use of these gradual decision rules within modus ponens and modus tollens inference patterns.
Inuiguchi, Masahiro +2 more
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Modus Ponens and Modus Tollens for Conditional Probabilities, and Updating on Uncertain Evidence
Theory and Decision, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Modus Ponens, Modus Tollens, and Likeness
1998Modus Ponens (MP) and Modus Tollens (MT) are taught as basic rules of inference related to conditional statements in introductory logic courses. In ordinary reasoning, MP and MT can have important roles in modes of argumentation. However, one can also distinguish counter-examples to such reasoning patterns when considered as ‘strictly’ valid rules (i.e.
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Modus ponens and modus tollens under the compositional rule of inference with triangular norms
Proceedings of IEEE 5th International Fuzzy Systems, 2002This work focuses on modus ponens and modus tollens in fuzzy reasoning methods. The authors consider t-norms as conjunctive functions for relational composition in "the compositional rule of inference", and pick up t-norms and four classes of implication (i.e. S-implication, R-implication, n-reciprocal R-implication and QL-implication) as the functions
M.F. Kawaguchi +4 more
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Analysis for correct reasoning by robots: modus ponens, modus tollens
Eighth Annual International Phoenix Conference on Computers and Communications. 1989 Conference Proceedings, 2003Reasoning by a robot relates to commands it receives in the natural language in the form of incompletely stated arguments, i.e. enthymemes. An attempt is made by the robot to seek out missing premises or conclusions that will produce valid arguments on the basis of two inference rules, modus ponens and modus tollens.
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Off-diagonal matrix elements: a modus tollens approach
Journal of Physics A: Mathematical and Theoretical, 2011A numerical application of the modus tollens rule of classical logic is described and is shown to permit the calculation of off-diagonal matrix elements by using a small basis set of implicit wavefunctions. The success of the calculation is discussed in terms of the most simple form of the Hohenberg?Kohn theorem.
Killingbeck, J.P., Jolicard, Georges
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