A Soft Set Approach to Relations and Its Application to Decision Making

Kemal Taşköprü; Elif Karaköse

doi:10.36753/mathenot.1172408

EN

A Soft Set Approach to Relations and Its Application to Decision Making

Abstract

One of the most useful mathematical tools for examining the relationships among objects is the concept of relation. Besides, it can also be necessary to throw light on uncertainties in these relationships. Soft set theory, in which different approaches used in defining the notions bring about different applications in many areas, enables to overcome uncertainties. The purpose of this paper is to define soft relation in a different way and to give a decision making method using the concept of soft relation. For this purpose, firstly, the soft relations are defined on the collection of soft elements, unlike the previous ones. After their basic properties are provided, the correspondence between the soft and classical relations is investigated and some examples are given. Finally, an algorithm is proposed using the soft relation for solving decision making problems, where the decision is related to other circumstances, and given an illustrative example.

Keywords

soft relation, decision making, closure of relations

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Kemal Taşköprü ^*
0000-0002-0760-3782
Türkiye

Elif Karaköse This is me
0000-0001-6204-0890
Türkiye

Publication Date

March 28, 2023

Submission Date

September 8, 2022

Acceptance Date

November 12, 2022

Published in Issue

Year 2023 Volume: 11 Number: 1

DOI

https://doi.org/10.36753/mathenot.1172408

IZ

https://izlik.org/JA97GA47KR

APA

Taşköprü, K., & Karaköse, E. (2023). A Soft Set Approach to Relations and Its Application to Decision Making. Mathematical Sciences and Applications E-Notes, 11(1), 1-13. https://doi.org/10.36753/mathenot.1172408

AMA

1.Taşköprü K, Karaköse E. A Soft Set Approach to Relations and Its Application to Decision Making. Math. Sci. Appl. E-Notes. 2023;11(1):1-13. doi:10.36753/mathenot.1172408

Chicago

Taşköprü, Kemal, and Elif Karaköse. 2023. “A Soft Set Approach to Relations and Its Application to Decision Making”. Mathematical Sciences and Applications E-Notes 11 (1): 1-13. https://doi.org/10.36753/mathenot.1172408.

EndNote

Taşköprü K, Karaköse E (March 1, 2023) A Soft Set Approach to Relations and Its Application to Decision Making. Mathematical Sciences and Applications E-Notes 11 1 1–13.

IEEE

[1]K. Taşköprü and E. Karaköse, “A Soft Set Approach to Relations and Its Application to Decision Making”, Math. Sci. Appl. E-Notes, vol. 11, no. 1, pp. 1–13, Mar. 2023, doi: 10.36753/mathenot.1172408.

ISNAD

Taşköprü, Kemal - Karaköse, Elif. “A Soft Set Approach to Relations and Its Application to Decision Making”. Mathematical Sciences and Applications E-Notes 11/1 (March 1, 2023): 1-13. https://doi.org/10.36753/mathenot.1172408.

JAMA

1.Taşköprü K, Karaköse E. A Soft Set Approach to Relations and Its Application to Decision Making. Math. Sci. Appl. E-Notes. 2023;11:1–13.

MLA

Taşköprü, Kemal, and Elif Karaköse. “A Soft Set Approach to Relations and Its Application to Decision Making”. Mathematical Sciences and Applications E-Notes, vol. 11, no. 1, Mar. 2023, pp. 1-13, doi:10.36753/mathenot.1172408.

Vancouver

1.Kemal Taşköprü, Elif Karaköse. A Soft Set Approach to Relations and Its Application to Decision Making. Math. Sci. Appl. E-Notes. 2023 Mar. 1;11(1):1-13. doi:10.36753/mathenot.1172408