Semigroup of Finite-State Deterministic Intuitionistic Fuzzy Automata with Application in Fault Diagnosis of an Aircraft Twin-Spool Turbofan Engine

Sajida Kousar,Nasreen Kausar,Yaé Ulrich Gaba,Farah Aslam,Ganesh Ghorai

doi:10.1155/2021/1994732

Abstract

The twin-spool turbofan engine is an important component of almost every modern aircraft. Fault detection at an early stage can improve engine performance and health. The current research is based on the construction of an inference system for fault diagnosis in a generalized fuzzy environment. For such an inference system, finite-state deterministic intuitionistic fuzzy automata (FDIFA) are established. A semigroup of FDIFA and its algebraic properties including substructures and structure-preserving maps are studied. The FDIFA semigroups are used as variables for the inference system, and FDIFA semigroup homomorphisms are used to indicate the relation between variables. The newly established model is then applied to diagnose the possible fault and their nature in aircraft twin-spool turbofan engines by modelling the performance of the supercharger and air cooler.

Highlights

During the last several decades, significant investigation and research have been conducted to increase aircraft safety by enhancing the performance of diagnostic systems for aircraft components, especially the gas turbine engines
The septuple MT = ðR, Z, ζ, r0, H, P, EÞ is termed as finitestate deterministic intuitionistic fuzzy automata (FDIFA), where R is a finite collection of states, Z is a finite collection of input characters, r0 ∈ R is the initial state, H is an intuitionistic fuzzy set of final states, P, E are sets of fuzzy grades of the membership and nonmembership at the state transition and P, E ⊆ 1⁄20, 1, and ζ : R × Z × P × E ⟶ R is the transition mapping with ζðri, z, μ, νÞ = frjg, where ri, rj ∈ R, z ∈ Z, μ ∈ P and ν ∈ E
In the inference system of the finite-state deterministic intuitionistic fuzzy automata (FDIFA) semigroup, the FDIFA semigroup serves as a variable and the relation between variables is exhibited by utilizing the FDIFA semigroup homomorphism

Summary

Introduction

During the last several decades, significant investigation and research have been conducted to increase aircraft safety by enhancing the performance of diagnostic systems for aircraft components, especially the gas turbine engines. The septuple MT = ðR, Z, ζ, r0, H, P, EÞ is termed as finitestate deterministic intuitionistic fuzzy automata (FDIFA), where R is a finite collection of states, Z is a finite collection of input characters, r0 ∈ R is the initial state, H is an intuitionistic fuzzy set of final states, P, E are sets of fuzzy grades of the membership and nonmembership at the state transition and P, E ⊆ 1⁄20, 1, and ζ : R × Z × P × E ⟶ R is the transition mapping with ζðri, z, μ, νÞ = frjg, where ri, rj ∈ R, z ∈ Z, μ ∈ P and ν ∈ E These states rj ∈ R exist in some accepted states.

Let string

Intuitionistic Fuzzy Inference Rule on the FDIFA Semigroup

Application

Findings

Conclusion