the 40 Principles and the Matrix

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In fact TRIZ is not tools as many think, this is clearly the problem reflected by people who dont have depth of knowledge of TRIZ .

TRIZ is exact science.
G.S.Altshuller.
This is Altchuller comment and not mine, also pls note the earlier comment is of Altshuller not mine, so the question of debate does not arise, I only quoted him.

Also ARIZ is not a tool

ARIZ is the tool for thinking,
but not instead of thinking.
G.S.Altshuller.

TRIZ - it is a science, which studies the development of techniques
as co-action of humans and nature.
TRIZ MASTER Narbut
to show how Altchuller's first ARIZ is also far superior than many of the current publication.

I. Analytical Stage
1. Select a problem.
2. Determine the goal of the problem.
3. Identify the contradiction preventing the solution.
4. Determine the cause of the contradiction.
II. Operational Stage
1. Examine the typical solution approaches
a) in nature
b) in technology
2. Search for new solution approaches through modifying:
a) within the limits of the system
b) in the surrounding environment
c) among the connected systems
III. Synthetic Phase
1. Introduce the functionally favourable changes into the system.
2. Introduce the functionally favourable changes into the methods
of using the system.
3. Assess the applicability of the principle to the solutions of other
creative problems.
4. Evaluate the new invention.

Nevertheless, it has (even if they are not very prominent)
all the important elements of an instrument: process of identifying and
eliminating contradictions, control over the psychological factors, and
usage of previously obtained information.
the mordern ARIZ far superior than this , however the thinking of the creator is visible in it
As for MPP it is main production process and the contradiction  matrix  yes can be used but the method of usage that is propagated is not the correct approach