Abstract
This paper deals with pairwise comparison matrices with intuitionistic fuzzy elements in the sense of Atanassov. Intuitionistic fuzzy elements of the pairwise comparison matrix are applied whenever the decision maker is not sure about the value of his/her evaluation of the relative importance of elements in question both in the sense of belonging and not belonging to a fuzzy set.
Here we investigate pairwise comparison matrices with elements from Abelian linearly ordered group (alo-group) over a real interval. By this we generalize the concept of reciprocity and consistency of pairwise comparison matrices with triangular intuitionistic fuzzy numbers (PCIF matrices).
We also define the concept of priority vector which is an extension of the well known concept in crisp case and which is used for ranking the alternatives.