Fuzzy soft set connected mappings

Alpa Singh Rajput; Mahima Thakur; Samajh Singh Thakur

doi:10.23755/rm.v48i0.1180

Ratio Mathematica (Dec 2023)

Fuzzy soft set connected mappings

Alpa Singh Rajput,
Mahima Thakur,
Samajh Singh Thakur

Affiliations

Alpa Singh Rajput: Department of Science and Humanities, Vignan Foundation for Science , Technology and Research , Guntur, India
Mahima Thakur: Department of Applied Mathematics, Jabalpur Engineering College Jabalpur India
Samajh Singh Thakur: Retired Professor Department of Applied Mathematics Jabalpur Engineering College Jabalpur(M.,P.)-482011

DOI: https://doi.org/10.23755/rm.v48i0.1180
Journal volume & issue: Vol. 48, no. 0

Abstract

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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.

Published in Ratio Mathematica

ISSN: 1592-7415 (Print); 2282-8214 (Online)
Publisher: Accademia Piceno Aprutina dei Velati
Country of publisher: Italy
LCC subjects: Science: Mathematics: Probabilities. Mathematical statistics
Website: http://eiris.it/ojs/index.php/ratiomathematica/index

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