Part 1

I believe this is three Masyu puzzles in red, blue, and yellow superimposed on each other.
The red puzzle follows the logic of red, orange, and purple.
The blue puzzle follows the logic of blue, green, and purple.
The yellow puzzle follows the logic of yellow, green, and orange.
And just for completeness, the three puzzle solutions together.

The final solution (finally)

The name of the puzzle is MASSYU By reducing each solution to just the cells that the loop passes through and overlaying them, the cells that all three puzzles pass through spell out 'MASSYU' I'm guessing the name is a portmanteau of MASS and MASYU, since it certainly is more complex.

Part 1

I believe this is three Masyu puzzles in red, blue, and yellow superimposed on each other.
The red puzzle follows the logic of red, orange, and purple.
The blue puzzle follows the logic of blue, green, and purple.
The yellow puzzle follows the logic of yellow, green, and orange.
And just for completeness, the three puzzle solutions together.

The final solution (finally)

The name of the puzzle is MASSYU By reducing each solution to just the cells that the loop passes through and overlaying them, the cells that all three puzzles pass through spell out 'MASSYU' The colour mixing idea from the initial three puzzles helped to indicate this solution. I'm guessing the name is a portmanteau of MASS and MASYU, since it certainly is more complex.

Partial Answer

I believe this is three Masyu puzzles in red, blue, and yellow superimposed on each other.
The red puzzle follows the logic of red, orange, and purple.
The blue puzzle follows the logic of blue, green, and purple.
The yellow puzzle follows the logic of yellow, green, and orange.
And just for completeness, the three puzzle solutions together.

Part 1

I believe this is three Masyu puzzles in red, blue, and yellow superimposed on each other.
The red puzzle follows the logic of red, orange, and purple.
The blue puzzle follows the logic of blue, green, and purple.
The yellow puzzle follows the logic of yellow, green, and orange.
And just for completeness, the three puzzle solutions together.

The final solution (finally)

The name of the puzzle is MASSYU By reducing each solution to just the cells that the loop passes through and overlaying them, the cells that all three puzzles pass through spell out 'MASSYU' I'm guessing the name is a portmanteau of MASS and MASYU, since it certainly is more complex.