...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...

...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”, ...

...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...