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Deductive Reasoning (X) Math (X)

       
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Noi Functii in Teoria Numerelor

By: Florentin Smarandache

... 1.21 Some properties of minimal solution for a FRE 123 1.22 FRE and causal reasoning 126 1.23 Identification of FRE by fuzzy neural networks 13... ...ese generalizations concepts 29 from some applications such as approximate reasoning and fuzzy control. Given a particular t-norm i and two fuz... ...used ways of constructing fuzzy inference systems is the method of approximate reasoning which can be implemented on the basis of compositional rul... ...al rule of inference. Different criteria have been proposed for the approximate reasoning to satisfy relevant conditions. The most useful is that of... ...ral inference system that implements the relational equation of the approximate reasoning and secondly a general neural fuzzy system of arbitrary le... ...which are absent, i.e. all manifestations which are present are observed. While deductive reasoning enables us to predict the presence of manifestat...

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Neutrality and Many-Valued Logics

By: Florentin Smarandache; Andrew Schumann

...sophic, etc. We survey also results which show the tree different proof-theoretic frameworks for many-valued logics, e.g. frameworks of the following deductive calculi: Hilbert ’s style, sequent, and hypersequent. Recall that hypersequents are a natural generalization of Gentzen ’s style sequents that was introduced independently by Avron and Pottinger . In particular, we...

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Proceedings of the First International Conference on Neutrosophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Probability and Statistics

By: Florentin Smarandache

...neutrosophic statistics. This representation is closer to the human mind reasoning. It characterizes/catches the imprecision of knowledge or ... ...egy, classifier system, genetic programming. Pei Wang devised a Non-Axiomatic Reasoning System as an intelligent reasoning system, where intelligen... ...be employed as well to determine a best algorithm of inference. Non-monotonic reasoning means to make assumptions about things we don’t know. Heuri... ...itas Press, New York, 1961. [45] Zadeh, Lotfi A., Fuzzy Logic and Approximate Reasoning, Synthese, 30, 407-428, 1975. [46] Zadeh, Lotfi A., Revi... ...arandache’slogic as foundations for a new general unifying theory for uncertain reasoning is becoming both a new philosophical and mathematical resear... ...s eds., Hafner, pp. 131 153, 1970). [5] Bianaghi E., Madella P .,“Inductive and Deductive Reasoning techniques for Fuzzy Dempster Shafer Classifiers”, ...

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A Unifying Field in Logics : Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability

By: Florentin Smarandache

...trosophic statistics. This representation is closer to the human mind reasoning. It characterizes/catches the imprecision of knowledge or lingu... ... 1 + 0. The atom's structure holds in the history of any idea. The reasoning is based upon the analysis of positive, negative, and neutral pr... ...d in itself, and action, and movement, and general theory, and process of reasoning. This approach differs from neutrosophism, which is a point of v... ...} – which occurs in rare/absolute exceptions, by means of formal rules of reasoning of this neutrosophic philosophy. The logical cogitation's ... ...from two different sources. Belief function is a connection between fuzzy reasoning and probability. The Dempster- Shafer Theory of Belief Functions ... ... A formal system comprises a formal language (alphabet and grammar) and a deductive apparatus (axioms and/or rules of inference). In a formal syste...

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