μ-Fuzzy Filters in Distributive Lattices
Author
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-29
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this paper, we introduce the concept of μ-fuzzy filters in distributive lattices.
We study the special class of fuzzy filters called μ-fuzzy filters, which is isomorphic to the set of all fuzzy ideals of the lattice of coannihilators.
We observe that every μ-fuzzy filter is the intersection of all prime μ-fuzzy filters containing it.
We also topologize the set of all prime μ-fuzzy filters of a distributive lattice.
Properties of the space are also studied.
We show that there is a one-to-one correspondence between the class of μ-fuzzy filters and the lattice of all open sets in Xμ.
It is proved that the space Xμ is a T0 space.
American Psychological Association (APA)
Norahun, Wondwosen Zemene. 2020. μ-Fuzzy Filters in Distributive Lattices. Advances in Fuzzy Systems،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1126403
Modern Language Association (MLA)
Norahun, Wondwosen Zemene. μ-Fuzzy Filters in Distributive Lattices. Advances in Fuzzy Systems No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1126403
American Medical Association (AMA)
Norahun, Wondwosen Zemene. μ-Fuzzy Filters in Distributive Lattices. Advances in Fuzzy Systems. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1126403
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1126403
