Study and Analysis the Mathematical Operations of Fuzzy Logic

Abstract

The last decade of this 20th century provides a wide spread of applications of one of the computer techniques, which is called Fuzzy Logic. This technique depends mainly on the fuzzy set theory, which is considered as a general domain with respect to the conventional set theory. This paper presents in initiative the fuzzy sets theory and fuzzy logic as a complete mathematics system. Here it was explained the concept of fuzzy set and defined the operations of fuzzy logic. It contains eleven operations beside the other operations which related to fuzzy algebra. Such search is considered as an enhancement for supporting the others waiting search activities in this field.

Keywords

• "Fuzzy Set Theory, Full membership, Non-Membership, Contained, Strictly Contained, Absolute Complement, Relative Complement, Union, Intersection, Symmetrical Difference, Boolean Sum, Algebraic Product, Algebraic Sum, Direct Sum."