One of the widely used theories in the information processing is Professor Zadeh's fuzzy logic theory. Fuzzy implications form the basis of this theory. When processing information using fuzzy implication, the chosen judgment method and the type of implication affect the result. Referring to the review of the relevant literature on fuzzy implications, it can be noted that there are still unresolved problems and issues. For example, fuzzy implications cannot be used in processing imperfect information or information based on probabilistic and fuzzy uncertainty. Existing fuzzy implications face limitations in practical applications. Fuzzy implications only take into account inaccuracy, but do not sufficiently cover reliability of information. Therefore, there is a need to study new types of implications that take into account the inaccuracy and probabilistic nature of information and to investigate their use in various fields. This article examines the problem of using ALI-4 Z-implication in controller design.
Shamil Azer Ahmadov (Thu,) studied this question.