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

Burak Arslan; Tuğçe Aydın; Samet Memiş; Serdar Enginoğlu

doi:10.53570/jnt.989335

EN

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

Abstract

Recently, the concept of intuitionistic fuzzy parameterized intuitionistic fuzzy soft matrices (ifpifs-matrices) has allowed to mathematically model some problems in which the parameters and alternatives exhibit intuitionistic fuzzy uncertainties. To this end, the present study aims to generalise 24 soft decision-making (SDM) methods operating in the fuzzy parameterized fuzzy soft matrices space with a single fpfs-matrix to the ifpifs-matrices spaces. Afterwards, we propose five test scenarios to analyse whether the SDM methods constructed by ifpifs-matrices consistently work. Moreover, we make performance comparisons of the generalised SDM methods successful in the five test scenarios by applying them to the performance-based value assignment (PVA) problem of the well-known noise-removal filters. Finally, we discuss the need for further research.

Keywords

Fuzzy sets, intuitionistic fuzzy sets, soft sets, ifpifs-matrices, soft decision making

Supporting Institution

Office of Scientific Research Projects Coordination at Çanakkale Onsekiz Mart University

Project Number

FHD-2020-3466

Thanks

This work was supported by the Office of Scientific Research Projects Coordination at Çanakkale Onsekiz Mart University, Grant Number: FHD-2020-3466.

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Burak Arslan ^*
0000-0002-1724-8841
Türkiye

Tuğçe Aydın
0000-0002-8134-1004
Türkiye

Samet Memiş
0000-0002-0958-5872
Türkiye

Serdar Enginoğlu
0000-0002-7188-9893
Türkiye

Publication Date

September 30, 2021

Submission Date

August 31, 2021

Acceptance Date

September 24, 2021

Published in Issue

Year 2021 Number: 36

DOI

https://doi.org/10.53570/jnt.989335

IZ

https://izlik.org/JA53MC74KW

APA

Arslan, B., Aydın, T., Memiş, S., & Enginoğlu, S. (2021). 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. Journal of New Theory, 36, 88-116. https://doi.org/10.53570/jnt.989335

AMA

1.Arslan B, Aydın T, Memiş S, Enginoğlu S. 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. JNT. 2021;(36):88-116. doi:10.53570/jnt.989335

Chicago

Arslan, Burak, Tuğçe Aydın, Samet Memiş, and Serdar Enginoğlu. 2021. “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”. Journal of New Theory, nos. 36: 88-116. https://doi.org/10.53570/jnt.989335.

EndNote

Arslan B, Aydın T, Memiş S, Enginoğlu S (September 1, 2021) 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. Journal of New Theory 36 88–116.

IEEE

[1]B. Arslan, T. Aydın, S. Memiş, and S. Enginoğlu, “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”, JNT, no. 36, pp. 88–116, Sept. 2021, doi: 10.53570/jnt.989335.

ISNAD

Arslan, Burak - Aydın, Tuğçe - Memiş, Samet - Enginoğlu, Serdar. “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”. Journal of New Theory. 36 (September 1, 2021): 88-116. https://doi.org/10.53570/jnt.989335.

JAMA

1.Arslan B, Aydın T, Memiş S, Enginoğlu S. 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. JNT. 2021;:88–116.

MLA

Arslan, Burak, et al. “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”. Journal of New Theory, no. 36, Sept. 2021, pp. 88-116, doi:10.53570/jnt.989335.

Vancouver

1.Burak Arslan, Tuğçe Aydın, Samet Memiş, Serdar Enginoğlu. 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. JNT. 2021 Sep. 1;(36):88-116. doi:10.53570/jnt.989335