Fuzzy Ideals and Fuzzy Filters of Pseudocomplemented Semilattices
Joint Authors
Alaba, Berhanu Assaye
Norahun, Wondwosen Zemene
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-07-08
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
In this paper, we introduce the concept of kernel fuzzy ideals and ⁎-fuzzy filters of a pseudocomplemented semilattice and investigate some of their properties.
We observe that every fuzzy ideal cannot be a kernel of a ⁎-fuzzy congruence and we give necessary and sufficient conditions for a fuzzy ideal to be a kernel of a ⁎-fuzzy congruence.
On the other hand, we show that every fuzzy filter is the cokernel of a ⁎-fuzzy congruence.
Finally, we prove that the class of ⁎-fuzzy filters forms a complete lattice that is isomorphic to the lattice of kernel fuzzy ideals.
American Psychological Association (APA)
Alaba, Berhanu Assaye& Norahun, Wondwosen Zemene. 2019. Fuzzy Ideals and Fuzzy Filters of Pseudocomplemented Semilattices. Advances in Fuzzy Systems،Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1118039
Modern Language Association (MLA)
Alaba, Berhanu Assaye& Norahun, Wondwosen Zemene. Fuzzy Ideals and Fuzzy Filters of Pseudocomplemented Semilattices. Advances in Fuzzy Systems No. 2019 (2019), pp.1-13.
https://search.emarefa.net/detail/BIM-1118039
American Medical Association (AMA)
Alaba, Berhanu Assaye& Norahun, Wondwosen Zemene. Fuzzy Ideals and Fuzzy Filters of Pseudocomplemented Semilattices. Advances in Fuzzy Systems. 2019. Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1118039
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1118039