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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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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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Probabilistic Estimation for Generalized Rough Modus Ponens and Rough Modus Tollens
2016We review concepts and principles of Modus Ponens and Modus Tollens in the areas of rough set theory and probabilistic inference. Based on the upper and the lower approximation of a set as well as the existing probabilistic results, we establish a generalized version of rough Modus Ponens and rough Modus Tollens with a new fact different from the ...
Ning Yao +3 more
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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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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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Triple I fuzzy modus tollens method with inconsistent bipolarity information
Journal of Intelligent & Fuzzy Systems, 2017Triple I method was proven to be the effective reasoning method with solid logic foundation, however, the existing works about triple I method all neglect inconsistent bipolarity information in reasoning process, which exists in the way that our brain handles information.
Han, Ying, Lim, Cheng-Chew, Chen, Sheng
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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 Tollens on Fuzzy Implication Functions Derived from Uninorms
2016The most used inference schemes in approximate reasoning are the so-called Modus Ponens for forward inferences, and Modus Tollens for backward inferences. In this way, finding new fuzzy implication functions satisfying these two properties has become an important topic for researchers.
M. Mas +4 more
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Photocatalytic Upcycling of Plastic Waste: Mechanism, Integrating Modus, and Selectivity
Small Structures, 2023Jian-Ping Yang
exaly