Fuzzy system reliability analysis using trapezoidal vague sets of type- II

To make the analysis more consistent and logical according to real life situations, in thispaper, the concept of trapezoidal vague set is extended by the idea of trapezoidal vaguesets of type-II. Also we have introduced: definition of trapezoidal vague set of type-IIand arithmetic operations between two trapezoidal vague sets of type-II. Further, a newmethod has been developed for analyzing the fuzzy reliability of a series and parallelsystem using trapezoidal vague sets of type-II, where the reliability of each component ofa system is represented by a trapezoidal vague set of type-II defined on the universe ofdiscourse [0,1]. The developed method has been used to analyze the fuzzy reliability of aradar warning receiver. The proposed method can model and analyze the fuzzy systemreliability in a more flexible and intelligent manner in comparison to the methods givenby Chen , Upadhyay et al. , Chang et al. and Kumar et al. ReferencesChang, J.R., K.H. Chang, S.H. Liao, and C.H. Cheng. The reliability of general vaguefault-tree analysis of weapon systems fault diagnosis. Soft Computing, 10: 531-542,2006.Chen, S.M. Analyzing fuzzy system reliability using vague set theory. Int. J. Appl. Sci.Engg. 1: 82-88, 2003.Kumar, A., S.P.Yadav, and S. Kumar. Fuzzy reliability of a marine power plant usingvague set theory. Proceedings of the International Conference on Reliability andSafety Engineering. 281-294, December 2005.Upadhyay, K.S., B.D. Murthy, and R. Usha. Reliability analysis through fuzzyprobability-a case study. Proc. National Systems Conference. 1-17, 2005.