Fuzzy If-Then rules are frequently used to describe the conditional statements that consist of fuzzy logic. It is closely connected with fuzzy inference process which is formulated from fuzzy logic operators and fuzzy If-Then rules. To define consistency of given rules enables decision makers to select more important criteria. However, researches on consistency for fuzzy control systems are still scarce.

This paper describes some preliminary investigations on consistency of fuzzy If-Then rule based on control systems. Some numerical examples related to this subject are characterized in our research.


Fuzzy number Fuzzy If-Then rules Consistency of fuzzy rules Fuzzy control system 


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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Azerbaijan State Oil and Industry UniversityBakuAzerbaijan

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