Reverse sharp and left-T right-T partial ordering on intuitionistic fuzzy matrices

Abstract

In this paper, we introduce the concept of reverse sharp ordering on Intuitionistic Fuzzy matrix (IFM) as a special case of minus ordering. We also introduce the concept of reverse left-T and right-T orderings for IFM as an analogue of left-star and right-star partial orderings for complex matrices. Several properties of these ordering are derived. We show that these ordering preserve its Moore-penrose inverse property. Finally, we show that these ordering are identical for certain class of IFM.