Fuzzy soft set connected mappings

Authors

DOI:

https://doi.org/10.23755/rm.v48i0.1180

Keywords:

Fuzzy soft sets, Fuzzy soft connectedness, Fuzzy soft connectedness between fuzzy soft sets and Fuzzy soft set-connected mappings.

Abstract

In this paper, the concepts of fuzzy soft connectedness between fuzzy soft sets and fuzzy soft set connected mappings in fuzzy soft topological spaces has been introduced. It is shown that a fuzzy soft topological space is fuzzy soft connected if and only if it is fuzzy soft connected between every pair of its nonempty fuzzy soft sets. Every fuzzy soft continuous mapping is fuzzy soft set-connected a counter example is given to show the converse may not be true. Several properties of fuzzy soft set-connected mappings in fuzzy soft topological spaces have been studied.

Author Biographies

  • Alpa Singh Rajput, Department of Science and Humanities, Vignan Foundation for Science , Technology and Research , Guntur, India
    Assistant Professor Mathematics
  • Mahima Thakur, Department of Applied Mathematics, Jabalpur Engineering College Jabalpur India

    Associate Professor

    Department of Applied Mathematics

  • Samajh Singh Thakur, Retired Professor Department of Applied Mathematics Jabalpur Engineering College Jabalpur(M.,P.)-482011

    Professor and Head Applied Mathematics (Retired)

    and Principal

    Jabalpur Engineering College Jbalpur(M.,P.) 482011 india

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Published

2023-12-30

Issue

Vol. 48 (2023)

Section

Volume 48-2023

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