Im thinking you can use the Jquery Control, my only concern is when you say
A sliderbar with 3 thumbs for minimum
Does this mean that you might have 4,5 or more thumbs in the control?
In my opinion you can use the JQuery control by having the Min and Max values declared from your database and then your predicted value will be your thumb, then use JQuery to get all 3 values, take a look at the API doc of JQuery http://api.jqueryui.com/slider/#option-min
$( ".selector" ).slider({ max: 50 });
$( ".selector" ).slider({ min: 10 });
// getter
var max = $( ".selector" ).slider( "option", "max" );
// getter
var min = $( ".selector" ).slider( "option", "min" );
// getter
var value = $( ".selector" ).slider( "option", "value" );
// setter
$( ".selector" ).slider( "option", "value", 10 );
Unless I am not understanding correctly your question, this control should work for you.