attrs="{'invisible':['|',('filed_name_1','=',False),('fieled_name_2','=',False)]}"   for OR

  attrs="{'invisible':['&',('filed_name_1','=',False),('fieled_name_2','=',False)]}"  for AND

<field name="name" attrs="{'invisible': [('condition1', '=', False)], 'required': [('condition2', '=', True)]}"/><!-- as default it works as AND without any additional '|' or '&'-->

You can use more than two conditions, then you should use '|','|','&' depending on conditions order and what you want to achieve.
for example attrs="{'invisible': [('product_lines_id','!=','Computer'),('product_lines_id','!=','Server')],'required':['|',('product_lines_id','=','Computer'),('product_lines_id','=','Server')]}"

For Odoo 14:
You can use "in" or "not in" operator for multiple values, for attrs you can write as following :

"attrs"="{'invisible':[('field','not in',(values))]}"

Ej.
attrs="{'invisible':[('name','not in',('Bank','Cheque'))]}

You need to use escape character of  '&' in order to get the AND condition work. Similar is the case of  '>' and  '