The MSM combines the premises into a single function equated to 1 and then produces the complete product of this function. The Modern Syllogistic Method (MSM) of propositional logic ferrets out from a set of premises all that can be concluded from it in the most compact form. Intuitionistic logic encompasses the general principles of logical reasoning which have been abstracted by logicians from intuitionistic mathematics, as developed by L. E. J. Brouwer beginning in his [1907] and [1908]. As its name suggests, it is derived from fuzzy set The intuitionistic fuzzy set (IFS) theory is based on: extensions of corresponding definitions of fuzzy set objects, and definitions of new objects and their properties. What is Intuitionistic Fuzzy Logic? 1.1 Introduction Fuzzy logic is a superset of classic (Boolean) logic that has been extended to handle the concept of partial tmth-values between "completely true" and "completely false". INTUITIONISTIC FUZZY SET THEORY. Definition of Intuitionistic Fuzzy Logic: The theory of intuitionistic fuzzy sets further extends both concepts of classical set theory and fuzzy set theory by allowing the assessment of the elements by two functions: for membership and for non-membership, which belong to the real unit interval [0, 1] and whose sum belongs to the same interval, as well. The Intuitionistic Fuzzy Sets (IFSs), proposed in 1983, are extensions of fuzzy sets. Some years after their introduction, sequentially, intuitionistic fuzzy propositional logic, intuitionistic fuzzy predicate logic, intuitionistic fuzzy modal logic and intuitionistic fuzzy temporal logic have been introduced, presented here shortly.
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