Item Response Theory Models for the Fuzzy TOPSIS in the Analysis of Survey Data

The fuzzy TOPSIS (The Technique for Order of Preference by Similarity to Ideal Solution) is an attractive tool measuring complex phenomena based on uncertain data. original version the method assumes that object assessments in terms adopted criteria are expressed as triangular numbers. One crucial stages selecting conversion scale, which used evaluate objects criteria. choice a scale may influence results TOPSIS. There no uniform approach constructing and subjective made researchers. Therefore, aim article present new, objective construction scales Item Response Theory (IRT) models. following models were scales: Polychoric Correlation Model (PM), Polytomous Rasch (PRM), Rating Scale (RSM), Partial Credit (PCM), Generalized (GPCM), Graded (GRM), Nominal (NRM). usefulness proposed presented example analysis survey’s quality professional life inhabitants selected communes Poland. obtained indicate has large impact closeness coefficient values. A difference was also observed spreads numbers between IRT those literature subject. use with built PRM, RSM, PCM, GPCM, GRM gives greater range variability than case empirical research.