Abstract
In this paper, we introduce idea of complex fuzzy subfield and discuss its various algebraic aspects. We prove that every complex fuzzy subfield generate two fuzzy fields and shows that intersection of two complex fuzzy subfields is also complex fuzzy subfields. We also present the concept of level subsets of complex fuzzy subfield and shows that level subset of complex fuzzy subfield form subfield. Furthermore, we extend this idea to define the notion of the direct product of two complex fuzzy subfields and also investigate the homomorphic image and inverse image of complex fuzzy subfield.
| Original language | English |
|---|---|
| Pages (from-to) | 1048-1056 |
| Number of pages | 9 |
| Journal | Indonesian Journal of Electrical Engineering and Computer Science |
| Volume | 21 |
| Issue number | 2 |
| DOIs | |
| State | Published - Feb 2021 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2021 Institute of Advanced Engineering and Science. All rights reserved.
Keywords
- Complex fuzz set
- Complex fuzzy subfield
- Fuzzy set
ASJC Scopus subject areas
- Signal Processing
- Information Systems
- Hardware and Architecture
- Computer Networks and Communications
- Control and Optimization
- Electrical and Electronic Engineering