Multidimensional sensitivity study of the fuzzy risk assessment module in the life cycle of building objects

Abstract

The main purpose of this paper is to check the correctness of the operation of “the fuzzy risk assessment module in the life cycle of building objects”. The authors examine sensitivity of the module to the possible change of parameters that may affect the final result of the calculations due to modification: sets of membership functions for input and output variables, rules of fuzzy implication to the process of aggregation of premises and aggregation of result conclusions, as well as methods for defuzzification the resultant value. All 99 combinations of input variable values were simulated taking into account the combination for: 4 sets of membership functions (polygonal, complex, harmonic and Gaussian dunctions), 4 sets of T-norms and S-norms (minimum and maximum of Mamdani, algebraic product and sum, product and sum of Hamacher, and product and sum of Einstein) and 2 defuzzification methods (centre of gravity and bisector area method). The authors calculated arithmetic average (m), standard deviation (s) and coefficient of variation (V), which is a relative measure of variation for each of the 3168 combinations. Based on the results of research, the authors recommended the most appropriate sets of parameters that may affect the final result of the calculations.

Keywords

• risk assessment
• life cycle
• building object
• fuzzy sets
• sensitivity study