Zariski topology on the spectrum of intuitionistic fuzzy classical primary submodules
In this paper, we define and study the notion of intuitionistic fuzzy classical primary submodules over a unitary $R$-module $M$, where $R$ is a commutative ring with unity. This is a generalisation of intuitionistic fuzzy primary ideals and intuitionistic fuzzy classical prime submodules. We further topologize the collection of all intuitionistic fuzzy submodules on an $R$-module $M$ with a topology having the intuitionistic fuzzy primary Zariski topology on the intuitionistic fuzzy classical primary spectrum $IF_{cp}spec(M)$ as a subspace topology and investigate the properties of this topological space.
Authors
- P. K. Sharma (ORCID: https://orcid.org/0000-0001-5463-8665)
Publication Details
- Journal
- Notes on Intuitionistic Fuzzy Sets
- Published
- 2024-10-01
- DOI
- https://doi.org/10.7546/nifs.2024.30.3.203-214
- Primary Topic
- Fuzzy and Soft Set Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00