Scaled aggregation operations over two- and three-dimensional index matrices

Abstract

Index matrices (IMs) are extensions of the standard matrices. Their elements can be different objects, e.g., natural, real or complex numbers, variables or predicates. In the present paper, we discuss the case, when the elements of the IM are intuitionistic fuzzy pairs. In this case, we can aggregate these elements by some intuitionistic fuzzy operations. In the paper, a set of such operations is constructed, so that the matrix elements are well ordered, generating a scale. Some applications of the so constructed scaled operations are discussed.