Artificial intelligence, also named machine intelligence is the emulation of human intelligence procedures using machines, particularly computer systems. It is a branch of computer science, which purposes to generate intelligent machines and has become a fundamental part of the technology industry. Artificial intelligence makes it feasible for machines methodologies such as fuzzy logic and neuro-fuzzy are broadly employed in various applications for example in business, marketing, control engendering, health care, and social services. In order to represent the applications of fuzzy set theory as well as neuro-fuzzy in industry, besides to provide a basis for future research, a literature review of these topics in industry is carried out in this book chapter. As some researchers have efficiently utilized fuzzy logic and neuro-fuzzy, indepth discussions are provided for stimulating future investigations.