2995-3162ISSN (Online)
In this paper, we introduce a class of weighted Orlicz spaces in the context of double coset spaces related to locally compact hypergroups in some way, which one can study that either these spaces are convolution algebras.
Read MoreDoi: https://doi.org/10.54216/PMTCS.050101
Vol. 5 Issue. 1 PP. 01-11, (2025)
The main aim of this paper is extend the notion of S-extending fz-modules into LS-extending fz-modules and study this new notion. This lead us introduce and study other notions such as: purely semisimple, purely extending and purely y-extending fz-modules. Moreover, the relationships LS-extending fz-module with the various types.
Read MoreDoi: https://doi.org/10.54216/PMTCS.050102
Vol. 5 Issue. 1 PP. 12-20, (2025)
A weighted graph is a graph in which each edge is assigned a numerical value (weight), typically representing cost, distance, or intensity. In this paper, we revisit and further explore three generalizations of weighted graphs: the Hyperweighted Graph, the Superhyperweighted Graph, and the MultiWeighted Graph. These advanced structures were initially introduced in.10 Our objective is to enhance understanding and broaden awareness of their theoretical foundations and potential applications through renewed analysis and formal refinement
Read MoreDoi: https://doi.org/10.54216/PMTCS.050103
Vol. 5 Issue. 1 PP. 21-33, (2025)
Fuzzy sets,20 rough sets,14 intuitionistic fuzzy sets,3 neutrosophic sets,15 soft sets,13 hesitant fuzzy set,17 plithogenic sets,16 and other uncertainty-handling frameworks have been the focus of intensive and ongoing research. Rough set theory provides a mathematical framework for approximating subsets through lower and upper approximations defined by equivalence relations, effectively capturing uncertainty in classification and data analysis.5, 10 Building upon these foundational concepts, further generalizations such as Hyperrough Sets8 and Superhyperrough Sets have been introduced. In this paper, we investigate the concepts of Neighborhood Hyperrough Sets and Neighborhood Superhyperrough Sets. These models extend the classical Neighborhood Rough Set framework by incorporating the structural richness of Hyperrough Sets and Superhyperrough Sets.
Read MoreDoi: https://doi.org/10.54216/PMTCS.050104
Vol. 5 Issue. 1 PP. 34-47, (2025)