Year: 2024
Type: article
Abstract: As novel notions of soft normed quasilinear spaces, we define soft quasilinear dependence, soft quasilinear independence and soft quasi basis. One of the greatest obstacles to the improvement of soft normed quasilinear spaces is the presence of these properties. In this study, we will present the definitions of these significant concepts and give some illustrative examples. Additionally, we demonstrate that the proposed definitions agree with counterparts of similar results in soft linear spaces. Finally, in some soft normed quasilinear spaces, we have studied their singular and regular dimensions just as in quasilinear spaces.
Authors: Fatma Bulak, Hacer Bozkurt
Institution: Batman University
Language: English
Topic: Fuzzy and Soft Set Theory
Field: Decision Sciences
Domain: Social Sciences
Open Access status: diamond
OpenAlex ID: W4405905966