Abstract
In this paper, we introduce the idea of Q-complex fuzzy sub-ring (Q-CFSR) and discuss its various algebraic aspects. We prove that every Q-CFSR generates two Q-fuzzy sub-rings (Q-FSRs). We also present the concept of level subsets of Q-CFSR and show that level subset of Q-CFSR form sub-ring. Furthermore, we extend this idea to define the notion of the direct product of two Q-CFSR Moreover, we investigate the homomorphic image and inverse image of Q-CFSR.
| Original language | English |
|---|---|
| Pages (from-to) | 295-305 |
| Number of pages | 11 |
| Journal | Journal of Mathematics and Computer Science |
| Volume | 22 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2020 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2020, International Scientific Research Publications. All rights reserved.
Keywords
- Complex fuzzy set (CFS)
- Q-complex fuzzy set (Q-CFS)
- Q-complex fuzzy sub-ring (Q-CFSR)
ASJC Scopus subject areas
- Computational Mechanics
- General Mathematics
- Computer Science Applications
- Computational Mathematics