Fuzzy Reliability of Weighted-((f / (r, s)), k)/ (m, n) G System-Reference-Cited by-同舟云学术

Fuzzy Reliability of Weighted-((f / (r, s)), k)/ (m, n) G System

Published:2021 Issue: Volume: Page:20-42
ISSN:2327-3453
Container-title:Advances in Systems Analysis, Software Engineering, and High Performance Computing
language:
Short-container-title:

Author:

Negi Seema¹,Singh S. B.²,Bisht Kamlesh³^ORCID

Affiliation:

1. S. V. Govt. P. G. College, Lohaghat, India

2. G. B. Pant University of Agriculture and Technology, Pantnagar, India

3. Uttarakhand Open University, Haldwani, India

Abstract

In this chapter, the authors study a weighted-((f / (r, s)), k)/ (m, n): G system. The system consists of mn components arranged in a matrix form and the system works if all the sub matrices of order (r, s), the total weight of the working components is greater than f and the total weight of the working components in the system is at least k. This chapter deals with the evaluation of fuzzy reliability and fuzzy mean time to failure of the considered system with the application of fuzzy universal generating function and fuzzy Rayleigh distribution. In this study, the authors formed some prepositions to understand the behaviour of the considered system with respect to different varying parameters and also present an illustrative example to understand them.

Publisher

IGI Global

Reference32 articles.

1. Baloui, J. E. (2011). An evaluation of the systems reliability using fuzzy lifetime distribution. Academic Press.

2. Bohra, K. S., & Singh, S. B. (2015). Evaluating fuzzy system reliability using intuitionistic fuzzy Rayleigh lifetime distribution. Journal MESA, 6(2), 245-254.

3. Direct Computation for Consecutive-k-out-of-n: F Systems

4. Fuzzy states as a basis for a theory of fuzzy reliability

5. Operations on fuzzy numbers with function principle;S. H.Chen;Tamkang Journal of Management Sciences,1985