Egalitarianism-Favors equality of all human life. This includes gender, race, religion, etc. All participate equally in making decisions. No one gender is above another or better at making decisions for the majority. We all participate equally.
Here is a quote from a forum I found, "Many people falsely claim we live in a patriarchal society, when in fact we live in a society that is a combination of patriarchal and matriarchal ideologies. We are slowly becoming an egalitarian society, which I think should be the ultimate goal. I personally feel that embracing either patriarchy or matriarchy is a bad idea as both seek to put one gender above the other."
I could not have said this better. I do not share the matriarchal or patriarchal bias. It is not egalitarian.
A new world is being created by courageous human beings who refuse to be oppressed. We do not need to go backward for justice and equality. We must go forward and treat each other with respect. Here is a link that discusses these three ideologies.
Here's a funny song for St. Paddy's Day.