The role of operations over intuitionistic fuzzy index matrices in color image analysis

,; Parvathi, R.; Nivedhaa, R. K.; ,; Atanassova, Vassia; ,

doi:10.7546/nifs.2023.29.2.218-230

Cited by 2 publications

(1 citation statement)

References 17 publications

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“…Numerous new operations along with their basic properties on IFGs were introduced in [17]. Similarly, the shortest paths in different networks were examined through IFGs in [18]. The order, size, etc.…”

Section: Introductionmentioning

confidence: 99%

Some Connectivity Parameters of Interval-Valued Intuitionistic Fuzzy Graphs with Applications

Guan,

Khan,

Saleem

et al. 2023

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Connectivity in graphs is useful in describing different types of communication systems like neural networks, computer networks, etc. In the design of any network, it is essential to evaluate the connections based on their strengths. In this manuscript, we comprehensively describe various connectivity parameters related to interval-valued intuitionistic fuzzy graphs (IVIFGs). These are the generalizations of the parameters defined for fuzzy graphs, interval-valued fuzzy graphs, and intuitionistic fuzzy graphs. First, we introduce interval-valued intuitionistic fuzzy bridges (IVIF bridges) and interval-valued intuitionistic fuzzy cut-nodes (IVIF cut-nodes). We discuss the many characteristics of these terms as well as establish the necessary and sufficient conditions for an arc to become an IVIF-bridge and a vertex to be an IVIF-cutnode. Furthermore, we initiate the concepts of interval-valued intuitionistic fuzzy cycles (IVIFCs) and interval-valued intuitionistic fuzzy trees (IVIFTs) and explore few relationships among them. In addition, we introduce the notions of fuzzy blocks and fuzzy block graphs and extend these terms as interval-valued fuzzy blocks (IVF-blocks) and interval-valued intuitionistic fuzzy block graphs (IVIF-block graphs). Finally, we provide the application of interval-valued intuitionistic fuzzy trees (IVIFTs) in a road transport network.

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Section: Introductionmentioning

confidence: 99%

Some Connectivity Parameters of Interval-Valued Intuitionistic Fuzzy Graphs with Applications

Guan,

Khan,

Saleem

et al. 2023

Axioms

View full text Add to dashboard Cite

show abstract

Scaled aggregation operations over three-dimensional extended intuitionistic fuzzy index matrices

Shi,

Kosari,

Rangasamy

et al. 2024

IFS

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Modern image processing techniques are improving beyond old methods, which include advanced approaches, for example deep learning. Convolutional Neural Networks (CNNs) are excellent at automatic feature extraction, whereas Generative Adversarial Networks (GANs) produce realistic images. Transfer learning uses pre-trained models, whereas semantic segmentation identifies pixels in images. Super-resolution, style transfer, and attention mechanisms can increase the quality of images and understanding. Adversarial defenses address purposeful manipulations, while 3D image processing handles three-dimensional data. These advancements make use of improved computational power and massive datasets to revolutionize image processing capabilities. Traditional image processing algorithms frequently fail to handle the complex and multidimensional structure of color images, particularly when dealing with uncertainty and imprecision. In this study, the 3D-EIFIM frame work is extented and scaled aggregation operations 3D-EIFIM tailored for image data are proposed. By representing each pixel as an entry of 3D-EIFIM and applying aggregation techniques to enable more effective image analysis, manipulation, and enhancement. The practical implications of this research are significant, as it can lead to advancements in fields such as computer vision, medical imaging, and remote sensing.

show abstract

The role of operations over intuitionistic fuzzy index matrices in color image analysis

Cited by 2 publications

References 17 publications

Some Connectivity Parameters of Interval-Valued Intuitionistic Fuzzy Graphs with Applications

Some Connectivity Parameters of Interval-Valued Intuitionistic Fuzzy Graphs with Applications

Scaled aggregation operations over three-dimensional extended intuitionistic fuzzy index matrices

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