Pseudo fuzzy topological (Krasner) hypervector spaces

Document Type : Original Article

Authors

1 Department of Mathematics, , School of Mathematics,, Statistics and Computer Science, College of Sciences, University of Tehran,, Tehran,, Iran

2 Department of Mathematics, , Payame Noor University, Tehran, Iran

3 Department of Mathematics, University of Tehran, Tehran, Iran

Abstract

In this article, we study vector hyperspaces and introduce fuzzy topological vector hyperspaces. We show that in a vector
hyperspace outside the part of a fuzzy pseudo-topological vector hyperspace, if the mapping outside the fuzzy open part
Let it be, then the vector hyperspace outside the part is also a fuzzy pseudotopological vector hyperspace, and we show
that if the vector hyperspace outside the part is fuzzy compact, then the vector hyperspace outside the part will also
be fuzzy compact. At the end, we discuss the product of fuzzy pseudo-topological vector hyperspaces and show that the
product of two fuzzy pseudo-topological vector hyperspaces on a hyperfield is a fuzzy pseudo-topological vector
hyperspace on that hyperfield.


Keywords

References

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History

  • Receive Date: 25 December 2021
  • Revise Date: 28 January 2022
  • Accept Date: 15 June 2022

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