Authors: Seema Negi; S.B. Singh
Addresses: Department of Mathematics, Govt. Degree College, Nainidanda, Pauri Garhwal, Uttarakhand, India ' Department of Mathematics, Statistics and Computer Science, G.B. Pant University of Agriculture and Technology, Pantnagar, India
Abstract: This paper deals with the introduction and study of fuzzy reliability measures of a linear m-consecutive weighted-k-out-of-r-from-n: F system. The paper provides an algorithm for the evaluation of fuzzy reliability of the proposed system based on application of universal generating function and fuzzy exponential distribution. It is assumed in the study that failure rate follows generalised symmetric trapezoidal fuzzy number in fuzzy exponential distribution. Further, generalised symmetric trapezoidal fuzzy number and its arithmetic operations are defined. Fuzzy mean time to failure and Brinbaum system fuzzy reliability importance is also calculated. A numerical example is also presented to illustrate the proposed approach.
Keywords: system fuzzy reliability; universal generating function; linear m-consecutive k-out-of-r-from-n: F systems; linear m-consecutive weighted-k-out-of-r-from-n: F systems; fuzzy mean time to failure; FMTTF; Brinbaum fuzzy reliability importance; BFRI.
International Journal of Computing Science and Mathematics, 2019 Vol.10 No.6, pp.606 - 621
Received: 08 Aug 2017
Accepted: 05 Sep 2017
Published online: 09 Dec 2019 *