Fuzzy system reliability using generalized trapezoidal intuitionistic fuzzy number with some arithmetic operations

Abstract

In this study arithmetic operations of generalized trapezoidal intuitionistic fuzzy numbers are described and applied to evaluate the fuzzy reliability of different systems. To analyze the fuzzy system reliability, the reliability of each component of the system is taken as generalized trapezoidal intuitionistic fuzzy number (GTrIFN).  To demonstrate the study of an electric network of a circuit is considered in fuzzy numbers where the reliability of each component is considered as GTrIFN.