Generalized Soft Multi Functions

V Inthumathi; A Gnanasoundari; M Maheswari

doi:10.17485/IJST/v17sp1.208

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v17sp1.208

Year: 2024, Volume: 17, Issue: Special Issue 1, Pages: 1-8

Original Article

Generalized Soft Multi Functions

V Inthumathi^1*, A Gnanasoundari², M Maheswari²

¹Associate Professor, Department of Mathematics, Nallamuthu Gounder Mahalingam College, Pollachi, 642 001, Tamil Nadu, India
²Assistant Professor, Department of Mathematics, Nallamuthu Gounder Mahalingam College, Pollachi, 642 001, Tamil Nadu, India

*Corresponding Author
Email: [email protected]

Received Date:29 August 2023, Accepted Date:05 March 2024, Published Date:25 May 2024

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objectives: To acquaint generalized soft multi functions and graphs. Methods: Generalized semi soft multi sets was introduced using semi closure operators and open soft multi sets. As a consequence, this study acquaints generalized semi soft multi continuous functions with the help of generalized semi soft multi sets. Also the concept of generalized soft multi homeomorphisms are introduced via generalized semi soft multi continuous, open and closed mappings and also the thought of closed soft multi graph is introduced through the open soft multi sets and soft multi points. Findings: This study reveals that composition of two generalized semi soft multi continuous functions do not necessarily generalized semi soft multi continuous but composition of generalized semi soft multi continuous function with any of its stronger forms be a generalized semi soft multi continuous function and also several interesting results are found. Novelty: This study acquaints soft multi graph by using soft multi functions and also acquaint generalized semi closed soft multi graph.

Keywords: Generalized Semi Soft Multi Continuous Functions, Generalized Semi Soft Multi Open Functions, Generalized Semi Soft Multi Closed Functions, Generalized Semi Soft Multi Homeomorphisms And Generalized Semi Closed Soft Multi Graphs

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Copyright

© 2024 Inthumathi et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)