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Some Operations and Properties of the Cubic Intuitionistic Set with Application in Multi-Criteria Decision-Making.
- Source :
- Mathematics (2227-7390); Mar2023, Vol. 11 Issue 5, p1190, 17p
- Publication Year :
- 2023
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- DECISION making
MULTIPLE criteria decision making
FUZZY sets
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 11
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 162402460
- Full Text :
- https://doi.org/10.3390/math11051190