A Study of Boundedness in rectangular fuzzy n-normed spaces

Authors

  • Mohayman Ragheb Badr (Department of Mathematics, Thi-qar University, College of Education for Pure Science, Thi-qar, Iraq)
  • Mohammed Jassim Mohammed Department of Mathematics, Thi-qar University, College of Education for Pure Science, Thi-qar, Iraq

DOI:

https://doi.org/10.32792/jeps.v14i2.440

Abstract

       Various forms of boundedness in rectangular fuzzy n-normed linear spaces of type  are examined in this work, where ∗ represents an arbitrary t-norm. Some of these highly general notions of boundedness have no counterpart in the traditional topological metrizable linear spaces. We list the properties of these bounded sets and conduct a comparative analysis of the various forms of boundedness. Among these are a number of ideas on the symmetrical characteristics of the objects under study that come from the classical context and are relevant to the issues of this magazine. We define their consequences and provide instances to show how different these notions are from one another.                 

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Published

2024-06-01

Issue

Vol. 14 No. 2 (2024): JOURNAL OF EDUCATION FOR PURE SCIENCE- UNIVERSITY OF THI-QAR

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