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An Application of Complex Fuzzy Soft Matrices in Signal Processing

Olayemi R. Oladokun, Taiwo O. Sangodapo

Abstract

In this paper, we study the concept of complex fuzzy soft matrices. The application of complex fuzzy soft matrices in signals and systems via the cross product of complex fuzzy soft matrices and Fourier transform was carried out. In this application, an algorithm for the identification of a reference signal out of large interest signals detected by a digital receiver was presented. It was recorded that, the Fourier transform is better because it gave a higher optimal value and as a result, there was a better reference signal $R.$

An Application of Complex Fuzzy Soft Matrices in Signal Processing

Abstract

In this paper, we study the concept of complex fuzzy soft matrices. The application of complex fuzzy soft matrices in signals and systems via the cross product of complex fuzzy soft matrices and Fourier transform was carried out. In this application, an algorithm for the identification of a reference signal out of large interest signals detected by a digital receiver was presented. It was recorded that, the Fourier transform is better because it gave a higher optimal value and as a result, there was a better reference signal
Paper Structure (6 sections, 1 theorem, 89 equations, 3 figures)

This paper contains 6 sections, 1 theorem, 89 equations, 3 figures.

Table of Contents

  1. Introduction
  2. Preliminaries
  3. Fuzzy Soft Matrices
  4. Complex Fuzzy Matrices
  5. Decision Making Algorithm in Signal Processing using Complex Fuzzy Soft Matrices
  6. Decision Making Algorithm in Signal and Systems using Fourier Transform

Key Result

Proposition 4.1

a23$[a_{ij}],[b_{ij}],[c_{ij}]\in CFSM_{m\times n}.$ Then

Figures (3)

  • Figure 1:
  • Figure 2: Graph of $i-th$ signal x reference signal, "x" denotes cross product of CFSs
  • Figure 3: Graph of $j-th$ signal x reference signal, "x" denotes cross product of CFSs

Theorems & Definitions (30)

  • Definition 2.1
  • Example 2.1
  • Definition 2.2
  • Definition 2.3
  • Example 2.2
  • Definition 3.1
  • Example 3.1
  • Definition 3.2
  • Remark 3.1
  • Example 3.2
  • ...and 20 more