REVERSE SHARP AND LEFT-T RIGHT-T PARTIAL ORDERING ON INTUITIONISTIC FUZZY MATRICES

REVERSE SHARP AND LEFT-T RIGHT-T PARTIAL ORDERING ON INTUITIONISTIC FUZZY MATRICES

G. Punithavalli, M. Anandhkumar

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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.

Keywords

Intuitionistic fuzzy matrices, Reverse sharp ordering, Reverse left-T and right-T ordering, g-inverse, Moore-penrose inverses.