2021
DOI: 10.1109/access.2021.3089849
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Numerical Data Classification via Distance-Based Similarity Measures of Fuzzy Parameterized Fuzzy Soft Matrices

Abstract: In this paper, we first define eight pseudo-metrics and eight pseudo-similarities based on these pseudo-metrics over fpfs-matrices. We then propose a new classification algorithm, i.e. Fuzzy Parameterized Fuzzy Soft Euclidean Classifier (FPFS-EC), based on Euclidean pseudo-similarity. After that, we compare FPFS-EC with Support Vector Machine (SVM), Fuzzy k-nearest neighbor (Fuzzy kNN), Fuzzy Soft Set Classifier (FSSC), FussCyier, Fuzzy Soft Set Classification Using Hamming Distance (HDFSSC), and Fuzzy kNN Bas… Show more

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Cited by 33 publications
(19 citation statements)
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“…Definition 4. [25] Let 𝐷 𝑡𝑟𝑎𝑖𝑛 with 𝑚 1 × 𝑛 and 𝐶 𝑚 1 ×1 be a training matrix and the class column vector of 𝐷 𝑡𝑟𝑎𝑖𝑛 . Then, 𝑓𝑤 is called the feature weight vector based on the Pearson correlation coefficient of 𝐷 𝑡𝑟𝑎𝑖𝑛 and is denoted by…”
Section: Preliminariesmentioning
confidence: 99%
“…Definition 4. [25] Let 𝐷 𝑡𝑟𝑎𝑖𝑛 with 𝑚 1 × 𝑛 and 𝐶 𝑚 1 ×1 be a training matrix and the class column vector of 𝐷 𝑡𝑟𝑎𝑖𝑛 . Then, 𝑓𝑤 is called the feature weight vector based on the Pearson correlation coefficient of 𝐷 𝑡𝑟𝑎𝑖𝑛 and is denoted by…”
Section: Preliminariesmentioning
confidence: 99%
“…In these models, fuzzy parameters are taken as elements in the domain of soft approximate mapping and fuzzy subsets are taken as elements in its codomain. Recently, the researchers [ 49 , 50 , 51 , 52 , 53 , 54 ] discussed the concept of fuzzy parameterization in matrices under soft set environment. They characterized various new properties and operations with matrix setting and applied them in decision-making, spaces, and numerical data classification.…”
Section: Introductionmentioning
confidence: 99%
“…Machine learning algorithms adopt a mathematical model that relies on data samples, called “training data,” to make predictions or decisions without being explicitly programmed to perform a specific task. Several researchers have developed relevant classification algorithms to make the appropriate decision (Memiş et al 2021 ). There are three crucial types of machine learning algorithms, as shown in Fig.…”
Section: Introductionmentioning
confidence: 99%