Some Operations and Properties of the Cubic Intuitionistic Set with Application in Multi-Criteria Decision-Making

Shahzad Faizi, Heorhii Svitenko, Tabasam Rashid, Sohail Zafar and Wojciech Sałabun ()
Additional contact information
Shahzad Faizi: Department of Mathematics, Virtual University of Pakistan, Lahore 54000, Pakistan
Heorhii Svitenko: Department of Software Engineering, Kharkiv National University of Radio Electronics, Nauky Ave. 14, 61166 Kharkiv, Ukraine
Tabasam Rashid: Department of Science and Humanities, University of Management and Technology, Lahore 54770, Pakistan
Sohail Zafar: Department of Science and Humanities, University of Management and Technology, Lahore 54770, Pakistan
Wojciech Sałabun: Research Team on Intelligent Decision Support Systems, Department of Artificial Intelligence and Applied Mathematics, Faculty of Computer Science and Information Technology, West Pomeranian University of Technology in Szczecin, ul. Żołnierska 49, 71-210 Szczecin, Poland

Mathematics, 2023, vol. 11, issue 5, 1-17

Abstract: This paper proposes some operations on the cubic intuitionistic set along with useful properties. We propose the internal cubic intuitionistic set (ICIS), the external cubic intuitionistic set (ECIS), P-order, R-order order (P-(R-) order), P-union, R-union (P-(R-) union), P-intersection, and R-intersection (P-(R-) intersection). We further investigate several properties of the P-(R-) union and P-(R-) intersection of ICISs and ECISs, and present some examples in this context. Some important theorems related to ICISs and ECISs are also presented with proof. Finally, an application example is given to measure the effectiveness and significance of the proposed operations by solving a multi-criteria decision-making (MCDM) problem.

Keywords: fuzzy set; interval-valued fuzzy set; intuitionistic fuzzy set; interval-valued intuitionistic fuzzy set; cubic set; cubic intuitionistic set (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/5/1190/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/5/1190/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:5:p:1190-:d:1083389

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().