Selection of the suppliers shall always be considered by managers because the suppliers can have very positive or very harmful and negative impacts on the general performance of an organization. Thus, in this research, firstly, 43 important criteria were recognized in selecting the suppliers through library studies which included Persian and English texts and also through reviewing various articles associated with this issue. Then a number of 14 criteria was confirmed by using fuzzy Delphi method and were turned into the DEMATEL questionnaire and it was distributed among 11 of the experts and members of the universities. The information of the questionnaire were turned to fuzzy and the CFCS algorithm was written in codes by using MATLAB software and by using the fuzzy DEMATEL method, it has been attempted to review the relationships between indexes and the rate that the criteria of selecting suppliers are influential and influenced. Ultimately, the research results show that the financial stability index has had the highest impact on the execution of the project of reviewing the relationship associated with the optimal selection of the suppliers of the universities of Yazd according to the opinion of experts, specialists and, CFCS algorithm and fuzzy DEMATEL technique.
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