Mathematical Methods in Dynamical Systems

12Linear Eigenvalue Problems in Dynamic Structure with UncertaintyAn Expectation-Based Approach

Mrutyunjaya Sahoo and S. Chakraverty

DOI: 10.1201/9781003328032-12

Contents

• 12.1 Introduction

• 12.2 Preliminaries

  • 12.2.1 Fuzzy Set [19]

  • 12.2.2 Fuzzy Number [19]

  • 12.2.3 α-Cut of a Fuzzy Number [19]

  • 12.2.4 Triangular Fuzzy Number (TFN) [19]

    • 12.2.4.1 α-Cut Representation of a TFN [20]

    • 12.2.4.2 α,β-Cut Representation of a TFN [20]

  • 12.2.5 Trapezoidal Fuzzy Number (TrFN) [19]

    • 12.2.5.1 α-Cut Representation of a TrFN [20]

    • 12.2.5.2 α,β-Cut Representation of a TrFN [20]

• 12.3 Fuzzy Variables

  • 12.3.1 Possibility Space [21]

  • 12.3.2 Definition 1 [21]

  • 12.3.3 Definition 2 [21, 22]

    • 12.3.3.1 Credibility Measure of a TFN [26]

    • 12.3.3.2 Credibility Measure of ...