Title: A novel approach for analysis fuzzy reliability of washing system using q-rung orthopair fuzzy set theory

Authors: Sudha Rana; Suneel Kumar; Deepak Kumar; Anita Kumari

Addresses: Department of Mathematics, Kumaun University, D.S.B. Campus, Nainital, India ' Department of Mathematics, Kumaun University, D.S.B. Campus, Nainital, India ' Department of Mathematics, Kumaun University, D.S.B. Campus, Nainital, India ' Department of Mathematics, Kumaun University, D.S.B. Campus, Nainital, India

Abstract: One of the most crucial areas of reliability engineering is reliability modelling when discussing the symmetry between two or more objects. In reliability evaluation process, the innovative idea of a q-rung orthopair fuzzy set over dual universes is more flexible than the traditional idea of a Pythagorean fuzzy set and intuitionistic fuzzy set. The washing system is a sophisticated technical system that requires the creation of reliable maintenance plans in order to improve performance. Here, a new method for analysing fuzzy system reliability using q-rung orthopair fuzzy set theory is presented, where the reliability of the components of a complex system are represented by q-rung orthopair fuzzy number for modelling uncertainty in data which is common in real life situation. The suggested approach can more intelligently model and analyse the reliability of complex systems. The score function and accuracy function are also used to compare various complicated systems.

Keywords: q-rung orthopair fuzzy set; q-ROFS; fault tree; washing system; fuzzy reliability; parallel system; series system; bridge configuration.

DOI: 10.1504/IJMOR.2024.140370

International Journal of Mathematics in Operational Research, 2024 Vol.28 No.4, pp.475 - 490

Received: 27 Feb 2023
Accepted: 09 Apr 2023
Published online: 05 Aug 2024 *

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