- Journal of New Theory
- Issue: 36
- Generalisations of SDM Methods in fpfs-Matrices Space to Render Them Operable in ifpifs-Matrices Spa...
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
Authors : Burak Arslan, Tuğçe Aydin, Samet Memiş, Serdar Enginoğlu
Pages : 88-116
Doi:10.53570/jnt.989335
View : 12 | Download : 3
Publication Date : 2021-09-30
Article Type : Research
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