Soft Decision-Making methods employing multiple ifpifs-matrices and their application

The concept of intuitionistic fuzzy parameterized intuitionistic fuzzy soft matrices (ifpifs-matrices) is a mathematical tool coming to the forefront with its ability to model problems containing intuitionistic fuzzy uncertainties or multiple fuzzy uncertainties. The present study continues the paper entitled Generalisations of SDM Methods in fpfs-Matrices Space to Render Them Operable in ifpifs-Matrices Space and Their Application to Performance Ranking of the Noise-Removal Filters. It generalizes 36 soft decision-making (SDM) methods employing multiple fuzzy parameterized fuzzy soft matrices (fpfs-matrices) to operable in the ifpifs-matrices space. Afterward, this study proposes three ifpifs-matrices for each test case in the above-mentioned paper and determines SDM methods producing successful results in these test cases by using the proposed ifpifs-matrices. Moreover, it applies the determined SDM methods to a performance-based value assignment (PVA) to seven well-known salt-and-pepper noise removal filters used in digital images. Finally, this study discusses SDM methods’ applications and the need for further research.

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Publication Details

Journal
Boletim da Sociedade Paranaense de Matemática
Published
2025-02-04
DOI
https://doi.org/10.5269/bspm.66696
Primary Topic
Multi-Criteria Decision Making
Type
article
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article

Soft Decision-Making methods employing multiple ifpifs-matrices and their application

Burak Arslan, Samet Memiş, Tuğçe Aydın, Serdar Enginoğlu
Boletim da Sociedade Paranaense de Matemática
Multi-Criteria Decision Making
article

Soft Decision-Making methods employing multiple ifpifs-matrices and their application

Burak Arslan, Samet Memiş, Tuğçe Aydın, Serdar Enginoğlu
article en

Abstract

The concept of intuitionistic fuzzy parameterized intuitionistic fuzzy soft matrices (ifpifs-matrices) is a mathematical tool coming to the forefront with its ability to model problems containing intuitionistic fuzzy uncertainties or multiple fuzzy uncertainties. The present study continues the paper entitled Generalisations of SDM Methods in fpfs-Matrices Space to Render Them Operable in ifpifs-Matrices Space and Their Application to Performance Ranking of the Noise-Removal Filters. It generalizes 36 soft decision-making (SDM) methods employing multiple fuzzy parameterized fuzzy soft matrices (fpfs-matrices) to operable in the ifpifs-matrices space. Afterward, this study proposes three ifpifs-matrices for each test case in the above-mentioned paper and determines SDM methods producing successful results in these test cases by using the proposed ifpifs-matrices. Moreover, it applies the determined SDM methods to a performance-based value assignment (PVA) to seven well-known salt-and-pepper noise removal filters used in digital images. Finally, this study discusses SDM methods’ applications and the need for further research.

Boletim da Sociedade Paranaense de MatemáticaVol. 43
Çanakkale Onsekiz Mart Üniversitesi (TR), Bandırma Onyedi Eylül University (TR)
Openalex Percentile: Top 97%
Multi-Criteria Decision Making
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