Some arithmetic operations on Triangular Intuitionistic Fuzzy Number and its application on reliability evaluation
چکیده
Generally fuzzy sets are used to analyze the fuzzy system reliability. Here intuitionistic fuzzy set theory has been used for analyzing the fuzzy system reliability. To analyze the fuzzy system reliability, the reliability of each component of the system is considered as a triangular intuitionistic fuzzy number. At first triangular intuitionistic fuzzy number and their arithmetic operations are introduced. Expressions for computing the fuzzy reliability of a series system, parallel system,series-parallel and parallel-series system following triangular intuitionistic fuzzy numbers have been described. Here an imprecise failure to start of an automobile is taken. To compute the imprecise failure of the above said system, failure of each component of the systems is represented by triangular intuitionistic fuzzy numbers. Corresponding numerical example is presented. Keyword: Fuzzy set, Intuitionistic fuzzy number, System reliability, Triangular intuitionistic fuzzy number.