Failure mode and effects analysis

Engineering

Reliability engineering

Discrete mathematics

Materials science

Chromatography

Pythagorean theorem

Data mining

Computer science

Risk analysis (engineering)

Matrix (chemical analysis)

Digraph

Mathematics

Fuzzy logic

Artificial intelligence

Geometry

Composite material

Medicine

Chemistry

Expert Systems with Applications

Failure Mode and Effects Analysis (FMEA) is an effective framework that is extensively utilized to determine and eradicate the possible failures from substances, structures, designs, services or organizations. The traditional risk evaluating methods have been criticized because of reasons that include disregard for correlative significance of risk factors, complicated multiplications, and lack of exactness and accuracy in the evaluations. In this paper, the effectiveness of traditional techniques is improved by a novel approach to analyze risks in FMEA that makes use of digraphs and matrix techniques under the Pythagorean fuzzy environment. We begin by defining triangular Pythagorean fuzzy numbers. We use them to express both the linguistic terms and all other data and information regarding the risk factors (inclusive of occurrence, severity, and detection). Then a Pythagorean fuzzy digraph captures the interrelations connecting the risk factors and the relative significance among them. Finally, we form the corresponding Pythagorean fuzzy risk matrices for every identified failure mode, and we calculate the risk priority indexes in order to identify the risk priorities. We also study an example of a steam valve system in a power generating plant as an illustrative application of our model.

Digraph and matrix approach for risk evaluations under Pythagorean fuzzy information