A NEW STUDY ON FUZZY COMPLEX NUMBERS USING A PYRAMIDICAL REPRESENTATION

In this paper a new method of representation of fuzzy complex numbers is introduced which can be called the pyramidical method of representation. In this method a fuzzy complex number Z = a + ib where a =(a1,, a2, a3), b =(b1, b2, b3) are two fuzzy real numbers, is represented by the faces of a pyramid such that (x, y, mu) is a point on one of the faces if (x, mu1) E a ,(y, mu) e b ,and mu = min{mu1, mu2} . We also deal with the main operations like addition, multiplication and conjugacy on fuzzy complex numbers using the pyramidical method. In addition, law of comutativity and law of distributivity of fuzzy complex numbers, are discussed in this paper.