Operators Based On Multiple Generalized Set-Valued Neutrosophic Quadruple Sets

Authors

  • Abdullah Kargın Department of Mathematics, Gaziantep University, Gaziantep, Turkey;
  • Memet Şahin Department of Mathematics, Gaziantep University, Gaziantep, Turkey;
  • Kübra Arıtı Şiğva Department of Mathematics, Gaziantep University, Gaziantep, Turkey;

Keywords:

Multi-valued Neutrosophic Number, Multiple Generalized Set-Valued Neutrosophic Quadruple Numbers, Multiple Generalized Set-Valued Neutrosophic Quadruple Sets, Generalized Set-Valued Neutrosophic Quadruple Number

Abstract

In this study, as a generalized form of multiple valued neutrosophic numbers and 
neutrosophic quadruple numbers, multiple generalized set-valued neutrosophic quadruple 
numbers and sets are defined and their basic properties are given. Thus, a new structure is 
obtained in which multi-valued neutrosophic sets and neutrosophic quadruple sets are used 
together. Also, optimistic union, pessimistic union, average union, pessimistic intersection, 
optimistic intersection, average intersection operators are defined for multiple generalized 
set-valued neutrosophic quadruples. Thus, multiple generalized set-valued neutrosophic 
quadruple sets were made usable in decision-making applications. Researchers can obtain more 
objective results in decision making applications by using these operators. 

 

DOI: 10.5281/zenodo.13172844

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Published

2024-08-01

Issue

Vol. 70 (2024): Neutrosophic Sets and Systems

Section

Article

License

Copyright (c) 2024 Neutrosophic Sets and Systems

Creative Commons License

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

 Creative Commons Attribution (CC BY) license.

How to Cite

Abdullah Kargın, Memet Şahin, & Kübra Arıtı Şiğva. (2024). Operators Based On Multiple Generalized Set-Valued Neutrosophic Quadruple Sets. Neutrosophic Sets and Systems, 70, 107-136. https://fs.unm.edu/nss8/index.php/111/article/view/4755