Multiple Input Parameters for TRIZ Matrix Application

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

Classical TRIZ [1] (a Russian acronym; in English, "theory of inventive problem solving") was created by Genrich Altshuller between 1940 and 1960 [2]. In this method for creating inventions, the inventive principles matrix is the core, while advantage (plus) and disadvantage (minus) factors let you navigate the matrix. This method has seen continuing development; for example, the TRIZ matrix was updated and improved by D. L. Mann [3, 4].


A traditional way of using the TRIZ matrix (e.g. using a spreadsheet) is to choose a single input (one advantage factor against one single disadvantage factor). This Demonstration shows a new way by choosing multiple input parameters (advantage and disadvantage factors) to illustrate a statistical distribution for inventive principles. You may use it as a tool for looking for an inventive solution from the TRIZ matrix and 40 inventive principles. Mouse over each bar to show tooltips of the inventive principles.


Contributed by: Frederick Wu (September 2016)
Open content licensed under CC BY-NC-SA



The source data is based on Mann's TRIZ matrix [3, 4]. This Demonstration uses the Mathematica function Tuples to generate all combinations between multiple advantage and disadvantage factors.

Snapshot 1: TRIZ matrix result with one advantage factor (1) against one disadvantage factor (1), as a case study for a precision measurement device

Snapshot 2: TRIZ matrix result with two advantage factors (2) against three disadvantage factors (3, including one random factor), as a case study for an advanced motor

Snapshot 3: TRIZ matrix result with three advantage factors (3) against three disadvantage factors (3), as a case study for a wafer stage system or projection lithography in the microelectronic industry

Snapshot 4: TRIZ matrix result with all advantage factors against all disadvantage factors, which exactly yields a frequency ranking of 40 inventive principles


[1] Wikipedia. "TRIZ." (Sep 5, 2016)

[2] G. Altshuller, The Innovation Algorithm: TRIZ, Systematic Innovation and Technical Creativity (L. Shulyak and S. Rodman, trans.), Worcester, MA: Technical Innovation Center, 1999.

[3] D. L. Mann, "Comparing the Classical and New Contradiction Matrix: Part 1—Zooming Out," The Triz Journal, 2004.

[4] D. L. Mann, "Comparing the Classical and New Contradiction Matrix: Part 2—Zooming In," The Triz Journal, 2004.

[5] L. Zheng, W. Fei and A. Bourov, "Learning TRIZ through Lithography-Electronics Co-evolution," in Proceedings of the 12th International MATRIZ Conference (TRIZfest-2016), Beijing, China (V. Souchkov, ed.), Knoxville, TN: International TRIZ Association, 2016 pp. 188–197.

[6] G. Retseptor, "40 Inventive Principles in Microelectronics," The Triz Journal, 2002.

Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.