Zadeh in his research paper “Fuzzy Sets”. He is considered as the father of Fuzzy Logic. Fuzzy Logic - Classical Set TheoryĪ set is an unordered collection of different elements. It can be written explicitly by listing its elements using the set bracket. Sets can be represented in two ways − Roster or Tabular Form A set of all the lowercase letters of the alphabet.A set of all the planets in the solar system.If the order of the elements is changed or any element of a set is repeated, it does not make any changes in the set. Set of vowels in English alphabet, A = $$ Fuzzy Logic - Traditional Fuzzy Refresher.The elements are enclosed within braces and separated by commas.įollowing are the examples of set in Roster or Tabular Form − In this form, a set is represented by listing all the elements comprising it. Logic, which was originally just the study of what distinguishes sound argument from unsound argument, has now developed into a powerful and rigorous system whereby true statements can be discovered, given other statements that are already known to be true. This logic deals with predicates, which are propositions containing variables.Ī predicate is an expression of one or more variables defined on some specific domain. A predicate with variables can be made a proposition by either assigning a value to the variable or by quantifying the variable.įollowing are a few examples of predicates −Ī proposition is a collection of declarative statements that have either a truth value 'true” or a truth value 'false'. A propositional consists of propositional variables and connectives. '12 + 9 = 3 – 2', it returns truth value “FALSE”.'Man is Mortal', it returns truth value “TRUE”.The connectives connect the propositional variables.Ī few examples of Propositions are given below − The propositional variables are dented by capital letters (A, B, etc).

In propositional logic, we use the following five connectives − 'A is less than 2' − It is because unless we give a specific value of A, we cannot say whether the statement is true or false.

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