Bulletin of Pure & Applied Sciences- Mathematics and Statistics

  • Year: 2018
  • Volume: 37e
  • Issue: 2

Reliability analysis of a system by using sugeno (TSK) fuzzy model

1Department of Mathematics, C.C.S. University, Meerut, Uttar Pradesh, 250004, India

2Department of Statistics, C.C.S. University, Meerut, Uttar Pradesh, 250004, India

*Corresponding Author: M.K. Sharma, Associate Professor, Department of Mathematics, C.C.S. University, Meerut, Uttar Pradesh, 250004, India. E-mail: drmukeshsharma@gmail.com

Online published on 18 December, 2018.

Abstract

In the present paper the binary assumption is replaced by a fuzzy state assumption, thereby leading to fuzzy reliability estimates. In reliability estimation failure rate estimation is an important parameter. Available methods for the estimation of such parameters do not cover up such type of uncertainty in the failure data collection involving human judgment, evaluation and decision. In this paper we introduce a new approach based on Sugeno [TSK] fuzzy model to estimate such system parameters and analyze the fuzzy reliability of a three unit system by Sugeno's fuzzy model. We also obtain the fuzzy effect on the system reliability.

Keywords

Reliability, Fuzzification, Fuzzy numbers, Defuzzification, Sugeno Fuzzy Models, Profust reliability, Probist reliability