TRIZ | A Systematic Approach to Inventive Problem Solving Through Technical Contradictions

TRIZ is a methodology for analyzing technical problems and finding ways to overcome the limitations of existing designs and technologies. It was developed by Genrikh Altshuller (1926–1998), who began his research in the Soviet Union in the 1940s. By examining large numbers of inventions documented in patents, Altshuller sought to identify recurring patterns in inventive problem-solving. The name TRIZ is an acronym derived from the Russian expression meaning “Theory of Inventive Problem Solving.”

The fundamental idea behind TRIZ is that inventions from different technological fields may share common problem structures and solution principles. A problem that appears difficult in one field may already have been solved in another. By abstracting a problem from its specific technology or application, it may be possible to identify solution principles that can be transferred across domains.

While brainstorming and SCAMPER primarily encourage idea generation, TRIZ attempts to identify contradictions within technical problems and apply generalized principles for resolving them.

However, TRIZ encompasses a wide range of techniques, and not all of its components have been subjected to the same level of scientific validation. Its value as a systematic collection of technical problem-solving knowledge should be distinguished from broader claims that it has discovered universal laws of invention.

The Basic Concept of TRIZ

A central idea in TRIZ is that many technical problems involve conflicting requirements.

For example, increasing the thickness of a material may improve structural strength but also increase weight. Increasing processing speed may lead to higher power consumption or greater heat generation. Adding protective devices may improve safety while reducing usability or productivity.

Conventional engineering often addresses such problems by finding a compromise. Designers may balance strength against weight or reduce processing speed slightly to limit power consumption.

TRIZ encourages a different question before accepting such compromises:

Is there another mechanism or structure that could satisfy both conflicting requirements?

Instead of simply increasing material thickness, a designer might reinforce only the areas where strength is required, introduce a hollow structure, combine different materials, or change how mechanical loads are distributed.

The distinguishing feature of TRIZ is its attempt to move beyond optimization within an existing design toward solutions that change the structure responsible for the apparent trade-off.

Of course, not every trade-off can be eliminated. Some requirements are fundamentally incompatible because of physical laws or resource constraints. TRIZ does not guarantee a solution; it provides methods for systematically investigating alternatives to the current design.

Technical Contradictions and Physical Contradictions

TRIZ distinguishes between two major types of contradictions: technical contradictions and physical contradictions.

Technical Contradictions — Improving One Characteristic Makes Another Worse

A technical contradiction occurs when improving one characteristic of a system causes another characteristic to deteriorate.

Consider a product enclosure. Making it thicker may improve impact resistance, but it may also increase weight and material costs.

The problem can be expressed as follows:

“If the enclosure is made thicker, impact resistance improves. However, its weight increases.”

This formulation identifies the characteristic to be improved and the characteristic that becomes worse.

In classical TRIZ, these characteristics can be translated into generalized engineering parameters. A contradiction matrix is then used to identify potentially useful inventive principles.

Physical Contradictions — The Same Object Requires Opposing Properties

A physical contradiction occurs when the same object or characteristic must satisfy apparently opposing requirements.

For example, a product enclosure should be thick enough to withstand impacts but thin enough to minimize weight.

In this case, the same characteristic—thickness—is required to be both large and small.

TRIZ investigates whether such contradictions can be resolved through separation in time, space, conditions, or system levels.

For example, reinforcing only the locations where impacts are concentrated while keeping other areas thin represents separation in space.

A structure that changes its properties only when required may represent separation in time or operating conditions.

The objective is not to make two logically contradictory statements simultaneously true under identical conditions. Rather, it is to discover whether apparently incompatible requirements can be satisfied through different conditions, structures, or mechanisms.

The 40 Inventive Principles

One of the best-known components of TRIZ is its collection of 40 Inventive Principles.

Altshuller and his collaborators examined inventions and abstracted recurring solution approaches into general principles intended to be applicable across different technological fields.

Some representative principles are shown below.

Inventive PrincipleBasic IdeaExample Applications
SegmentationDivide an object or system into separate partsModular products, sectional transportation
Local QualityGive different regions different propertiesReinforcing only critical areas
AsymmetryReplace a symmetrical structure with an asymmetrical oneShapes adapted to uneven loading
Nested DollPlace one object inside anotherTelescoping structures, compact storage
Preliminary ActionPerform necessary operations in advancePreheating, preparatory processing
DynamicsAllow properties or structures to change with conditionsAdjustable mechanisms, adaptive structures
Another DimensionChange spatial arrangement or use additional dimensionsMultilayer configurations, three-dimensional structures
Periodic ActionReplace continuous action with intermittent actionPulsed injection, intermittent operation
FeedbackUse information about results to regulate operationSensor-based automatic control
IntermediaryIntroduce an intermediate elementBuffer layers, intermediate materials
Self-ServiceMake a system perform a useful supporting function itselfSelf-cleaning or self-lubricating mechanisms
Parameter ChangesChange the physical state or characteristics of an objectModifying temperature, density, or flexibility

For example, the principle of Another Dimension may suggest moving from a planar arrangement to a three-dimensional or multilayer structure when space is limited.

However, knowing a principle does not automatically produce a workable engineering solution.

The designer must determine which conditions can be changed and whether the proposed modification is technically feasible.

The 40 Inventive Principles should therefore be understood as generalized guidelines derived from previous inventions, rather than scientifically established laws of nature.

The Contradiction Matrix — Finding Inventive Principles from a Problem

One of the characteristic tools of classical TRIZ is the Contradiction Matrix.

The traditional matrix contains 39 generalized engineering parameters arranged along two axes, forming a 39 × 39 table.

One axis represents the characteristic to be improved, while the other represents the characteristic that deteriorates as a consequence.

The parameters include characteristics such as weight, length, strength, speed, temperature, energy consumption, reliability, ease of operation, and manufacturing accuracy.

At the intersection of two parameters, the matrix identifies inventive principles that have been associated with similar contradictions.

For example, if reducing weight causes insufficient strength, a designer can identify the relevant weight and strength parameters and examine the suggested inventive principles.

However, the matrix does not provide a finished solution.

Furthermore, translating a specific engineering problem into the 39 generalized parameters requires interpretation. Different analysts may represent the same problem using different parameters.

This is an important limitation:

Even when the matrix procedure is formalized, the abstraction of the original problem is not uniquely or objectively determined.

The classical matrix was also developed primarily from engineering problems. Applying it directly to organizational management or business strategy may require artificial or inappropriate mappings between business concepts and technical parameters.

Ideality and the Ideal Final Result

TRIZ includes the concept of moving technical systems toward greater ideality.

Ideality refers to the relationship between the useful functions delivered by a system and the costs or harmful effects associated with those functions.

It is sometimes expressed conceptually as a ratio:

[
\text{Ideality}=\frac{\text{Useful Effects}}{\text{Costs}+\text{Harmful Effects}}
]

However, no universally established calculation method exists for measuring and combining all these effects across different systems.

The underlying idea is to provide necessary functions while minimizing additional equipment, resources, complexity, and undesirable consequences.

For example, when a product requires cooling, the conventional approach may be to add a cooling device.

An alternative may be to use existing airflow, surrounding structures, or heat-dissipating surfaces to improve cooling without introducing an additional subsystem.

Another important concept, particularly in ARIZ, is the Ideal Final Result (IFR).

The IFR describes a desirable state in which a specific problem has been resolved with minimal changes or additional resources.

It does not mean treating an unrealistic fantasy as an engineering solution. Rather, it helps designers reconsider what function is genuinely necessary without becoming attached to conventional means of achieving it.

Substance–Field Analysis and Standard Solutions

TRIZ also includes Substance–Field Analysis, commonly called Su-Field Analysis.

This method represents a technical problem in terms of substances or physical objects and the interactions acting between them.

The interactions may involve mechanical, thermal, electromagnetic, or other physical effects.

For example, consider a manufacturing process in which a tool does not exert sufficient influence on the material being processed.

The tool, the material, and their interaction can be represented in a simplified model.

The analyst then examines whether the interaction is insufficient, harmful, or incomplete, or whether an additional element or different physical effect is required.

TRIZ also includes a collection known as the 76 Standard Solutions, which organizes generalized transformation patterns for such models.

However, Substance–Field Analysis is not a detailed simulation of physical phenomena.

It is a way of abstracting the main components and interactions of a technical problem to stimulate the search for alternative mechanisms.

Actual performance must still be evaluated using appropriate physical models, numerical analysis, prototypes, and experiments.

Patterns of Technological System Evolution

TRIZ also proposes that technological systems exhibit certain recurring patterns of development.

Examples include increasing ideality, greater adaptability or dynamism, uneven development of system components, and integration into larger or higher-level systems.

S-curves are also used in some TRIZ approaches to examine stages of technological development.

These concepts may help analysts consider the remaining potential of existing technologies or imagine possible directions for next-generation product architectures.

However, technological evolution should not be regarded as following universal and deterministic laws.

Technological development is influenced by scientific discoveries, economic conditions, institutions, social needs, and contingent historical events.

Patterns identified from past technologies do not necessarily predict the future.

They are better understood as perspectives for exploring possible developments than as reliable forecasting laws.

ARIZ — A Structured Procedure for Complex Inventive Problems

ARIZ, or the Algorithm for Inventive Problem Solving, is a structured procedure developed within TRIZ for analyzing particularly difficult inventive problems.

Rather than simply searching for an inventive principle, ARIZ guides the analyst through progressively more precise representations of the problem, including conflicting requirements, available resources, and ideal outcomes.

The well-known ARIZ-85C contains numerous detailed steps, but its general approach can be summarized as follows:

  1. Identify the technical system and the undesirable effect or problem.
  2. Define the conflicting requirements and formulate the technical contradiction.
  3. Identify the specific location, time, and conditions under which the problem occurs.
  4. Consider the Ideal Final Result.
  5. Formulate the underlying physical contradiction.
  6. Explore separation principles, available resources, inventive principles, and relevant scientific effects.
  7. Evaluate whether the proposed solution actually resolves the original contradiction.

ARIZ is not an algorithm that automatically produces inventions.

Each stage requires interpretation, technical understanding, and judgments about how the problem should be reformulated.

For this reason, ARIZ is better understood as a methodology for investigating complex technical problems than as a simple creativity exercise for occasional users.

Practical Example — Reducing Weight While Maintaining Structural Strength

Consider a product enclosure that must maintain impact resistance while becoming lighter.

In the existing design, reducing material thickness decreases weight but may also reduce impact resistance.

Increasing thickness improves resistance but adds weight.

TRIZ begins by identifying the technical contradiction.

Characteristic to improve: Weight

Characteristic that may deteriorate: Strength or impact resistance

The analyst can then explore possible solutions inspired by inventive principles.

Inventive PrinciplePossible Solution
Local QualityReinforce only locations subjected to concentrated impacts
SegmentationDivide the enclosure into components with different functions
Parameter ChangesIntroduce materials with different density or strength properties
DynamicsUse structures that respond differently under impact conditions
Another DimensionIntroduce three-dimensional reinforcing structures instead of flat panels

These are hypothetical candidates generated using inventive principles, not validated engineering designs. The table is not intended to reproduce the recommendations from a particular cell of the classical contradiction matrix.

Actual implementation would require examining impact conditions, load distribution, deformation behavior, material properties, manufacturing methods, and costs.

Structural simulation and physical testing would be necessary to verify performance.

The purpose of TRIZ in this example is not to generate a finished design, but to investigate whether conflicting requirements that appear unavoidable within the current design can be satisfied through a different structure.

Strengths and Limitations of TRIZ

A major strength of TRIZ is its attempt to connect the structure of technical problems with solution patterns derived from previous inventions.

Rather than relying entirely on spontaneous ideas, TRIZ encourages analysts to examine contradictions and search systematically for alternative technical principles.

Its attempt to abstract inventions across technological domains remains particularly relevant to contemporary innovation and knowledge exploration.

Nevertheless, TRIZ has several important limitations.

Problem Abstraction Requires Expertise

A real engineering problem must be translated into generalized contradictions, parameters, or interaction models.

This process depends on the analyst’s technical knowledge and interpretation.

If the abstraction is inappropriate, the subsequent application of a contradiction matrix or inventive principle may produce irrelevant results.

The Methodology Is Complex

TRIZ includes the 40 Inventive Principles, 39 engineering parameters, Substance–Field Analysis, 76 Standard Solutions, ARIZ, and other approaches.

Learning the entire system requires considerable effort.

There is also a risk that mastering procedures becomes an end in itself, while understanding the actual engineering problem receives insufficient attention.

Generalizations from Historical Patents Have Limitations

Patents do not represent all technological development.

They exclude unsuccessful experiments, inventions protected as trade secrets, and knowledge never submitted for patent protection.

Patent data also reflect differences among industries, legal systems, and historical periods.

Consequently, patterns extracted from successful patents cannot automatically be assumed to represent universal principles of invention.

General Claims of Effectiveness Require Caution

Successful applications of TRIZ have been reported, but this does not establish that TRIZ consistently outperforms alternative methods across all types of engineering problems.

Researchers have also questioned how its effectiveness should be evaluated and how reliably its results can be generalized.

A 2016 review published in Computers in Industry raised concerns that the development of TRIZ has not always followed the procedures of scientific validation normally expected in engineering research.

TRIZ is therefore best evaluated as a structured body of technical problem-solving experience and cross-domain solution knowledge, rather than as a fully established science of invention.

How TRIZ Differs from Other Creativity Techniques

TRIZ differs from brainstorming, SCAMPER, and Synectics in both its primary focus and the way it approaches problems.

MethodMain Approach
BrainstormingGenerate many ideas while postponing evaluation
SCAMPERApply systematic modifications to an existing subject
SynecticsExplore alternative perspectives through analogy
TRIZAbstract technical contradictions and apply generalized solution principles
Morphological AnalysisSystematically explore combinations of parameters and alternatives

However, TRIZ does not operate according to principles entirely unrelated to other creativity techniques.

Some of the 40 Inventive Principles resemble the modification operations used in SCAMPER.

Its search for common solution principles across different patent domains is also related to analogical reasoning and the ideas explored in Synectics and structure-mapping theory.

The distinctive feature of TRIZ is its emphasis on formulating technical contradictions and organizing reusable principles for addressing them.

TRIZ in the AI Era — Making a Complex Methodology More Practical

TRIZ may be particularly suitable for support by large language models.

Traditionally, users have needed to translate specific engineering problems into generalized parameters, consult contradiction matrices, interpret abstract inventive principles, and develop concrete technical solutions.

LLMs can process natural-language descriptions and may therefore assist with several of these activities.

Extracting Technical Contradictions

An LLM can examine product specifications, engineering problem descriptions, or research reports and identify possible conflicting requirements.

For example, from a statement such as “Increasing processing speed causes excessive heat generation,” it may identify a conflict between processing performance and thermal constraints.

It can then propose possible mappings to TRIZ engineering parameters.

However, these mappings are not necessarily unique.

A preferable system would present several candidate interpretations with explanations, allowing the user to select or revise the problem formulation.

Connecting Inventive Principles to Concrete Technologies

Traditional contradiction matrices provide principle numbers and generalized descriptions rather than complete solutions.

LLMs may help translate those principles into candidate technologies relevant to a particular engineering domain.

For example, the principle of Local Quality might lead to suggestions involving selective reinforcement, functionally graded materials, or localized surface treatment.

By combining LLM assistance with information retrieval, users could investigate real technologies and research results corresponding to these candidates.

Exploring Solutions Across Different Domains

A central ambition of TRIZ has always been to discover common problem-solving principles across different technological fields.

LLMs may help expand this exploration.

For example, consider a material that must resist deformation at high temperatures while remaining flexible during manufacturing.

The problem could be decomposed into functions and constraints, then used to explore technologies that change stiffness or shape under different conditions.

The search need not be restricted to the original materials field.

However, an LLM-generated analogy may not accurately represent the underlying technical relationships.

Real-world examples must be distinguished from hypothetical applications, and operating mechanisms, material properties, and implementation constraints must be examined.

Research Opportunities and Limitations

Research combining LLMs with TRIZ is developing.

The 2024 AutoTRIZ study proposed an approach for analyzing contradictions and generating solution concepts from problem descriptions.

A comparative experiment published in 2026 examined TRIZ-based engineering problem-solving with and without LLM assistance.

The study reported that LLM support could help participants understand contradictions and reduce some of the effort involved in using TRIZ, but improvements in the quality of solutions to complex problems were not consistently observed.

These findings suggest that LLMs may make particular TRIZ activities easier to perform without necessarily overcoming all the limitations of the methodology.

TRIZ in ThinkNavi

ThinkNavi presents TRIZ as an established approach to inventive technical problem-solving, emphasizing its underlying principles as well as its practical limitations.

A possible implementation in ThinkNavi Free would allow users to specify a characteristic they want to improve and another characteristic that deteriorates as a consequence.

The tool could then consult a contradiction matrix, identify relevant inventive principles, and provide a workspace for recording solution ideas.

For physical contradictions, it could also guide users through possible separation strategies involving time, space, conditions, and system levels.

An LLM-powered edition could extend these functions by identifying candidate contradictions from natural-language problem descriptions, suggesting parameter mappings, interpreting inventive principles, retrieving relevant technologies, and generating alternative solution hypotheses.

These are potential future capabilities, not descriptions of features currently available.

Rather than simply digitizing the 40 Inventive Principles and the classical contradiction matrix, the more important opportunity is to connect problem descriptions, functional requirements, technical constraints, and real-world knowledge from different domains.

The contemporary value of TRIZ lies not in treating its particular procedures as universal laws of invention, but in systematically abstracting technical problems and exploring whether knowledge from other fields can reveal ways to overcome existing constraints.

Related Topics

References and Further Reading

Evaluating TRIZ With and Without LLM Support: An Experimental Study on Engineering Problem-Solving, Proceedings of the Design Society, 2026

Genrich Altshuller, Creativity as an Exact Science: The Theory of the Solution of Inventive Problems, Gordon and Breach, 1984.

Genrich Altshuller, And Suddenly the Inventor Appeared: TRIZ, the Theory of Inventive Problem Solving, Technical Innovation Center, English edition.

Japan TRIZ Society — About TRIZ

Altshuller Foundation — Original TRIZ Writings

TRIZ — 40 Inventive Principles

TRIZ Knowledge Base — Contradiction Matrix

Understanding TRIZ through the Review of Top Cited Publications, Computers in Industry, 2016

AutoTRIZ: Artificial Ideation With TRIZ and Large Language Models, ASME, 2024