Chronic Fatigue Syndrome Support Group
Chronic Fatigue Syndrome (ME/CFS) describes a sense of exhaustion and post-exertion malaise, even when you have gotten enough rest and sleep. The disease is characterized by six months of incapacitating fatigue experienced as profound exhaustion and extremely poor stamina, and problems with concentration and short-term memory. The cause is unknown, but it is a...

encephalomylitis is swelling of the brain.
myalgic I think comes from the idea that the mytochondria in our cells are hindered or affected.
myalgic encephalomylitis together is the complex disorder. Technically ME is the diagnosis and CFS is the symptoms. However they are connotatively used synonymously in most circles. and example might be Flu/fever , or Crones disease / IBS , ME/CFS...
You are safe to use either interchangeably however it is possible to get CFS not from ME, but from something else not yet discovered.
And of course, the thing that makes it the most intolerable, especially for social interaction, is the awful exertion intolerance. That certainly is accurate, too.