A reliability index for fuzzy expert group criterion

Abstract

Abstract In the paper, a fuzzy expert group criterion is presented in the form of a linguistic variable with the properties of completeness and orthogonality. The expert group criterion is created based on individual expert criteria of evaluation a quantitative or qualitative characteristic. The construction is carried out on the basis of the minimum loss of information contained in the individual criteria. For neighboring terms (concepts) of the criterion, analogues of probabilities of errors of the first and the second kinds are determined, as well as the reliability index, taking into account the zones of uncertainty of their membership functions. The reliability index of fuzzy expert group criterion is determined based on the reliability indexes of all the neighboring terms.