I would like to express my sincere gratitude to my family, in special my mother for having provided to me the education basis that led me to all my accomplishments and for her encouragements to look for achievements that are more important. I am grateful to have a true angel in my life, my wife Mirella, thank you for sharing my dreams and for helping me to make our dreams come true. I thank also my colleges in the LMEst laboratory for the support you all assured to me during this journey, especially Prof. Dr. Aldemir Cavalini, whose contribution made this work possible. Thank you Prof. Dr. Leonardo Sanches for being a true friend along all these years. I would also like to express my sincere thanks to my advisor Prof. Valder Steffen Jr, who I learned to admire not only professionally but also as a person. I will consider myself fulfilled if I can achieve half of your accomplishments. A special thanks to the faculty and staff of FEMEC-UFU, and to my advisory committee members for their willingness on evaluating my thesis and contributing to its improvement. Finally, my sincere thanks to the financial support provided by the Brazilian research agencies CNPq, CAPES and FAPEMIG, and to the support of the INCT-EIE. I am also thankful to the companies CERAN, BAESA, ENERCAN, and Foz do Chapecó for the financial support through the R&D project Robust Modeling for the Diagnosis of Defects in Generating Units (02476-3108/2016). DOURADO, A. De P. Fuzzy Logic as a Tool for Uncertainty, Robustness and Reliability Analyses of Mechanical Systems. 2018. 89 pages.