A note on cut properties of semilattice valued fuzzy sets
Penulis/Author
HARINA ORPA LEFINA MONIM (1); Prof. Dr. Sri Wahyuni, S.U. (2); Prof. Dr.rer.nat. Indah Emilia Wijayanti, S.Si., M.Si. (3)
Tanggal/Date
2015
Kata Kunci/Keyword
Abstrak/Abstract
Semilattice valued fuzzy sets are investigated in the frame-work of cuts. A theorem of synthesis for such fuzzy sets is proved. Families of cuts for meet(join)-fuzzy sets are proved to be special semi-closure systems. Conversely, for every such semi-closure system, we prove existence of a semilattice and a semilattice-valued fuzzy set whose collection of cuts is the given semi-closure system. We also show that for an arbitrary collection of subsets of a nonempty set, there is a semilattice valued fuzzy set whose collection of cuts contains these subsets. Using meet-irreducible elements in a finite meet-semilattice, we give conditions under which all the cuts of a meet-semilattice-valued fuzzy set are different and we describe a representation of the semilattice by the collection of cuts ordered dually by inclusion.
Rumpun Ilmu
Matematika
Bahasa Asli/Original Language
English
Level
Internasional
Status
Dokumen Karya
No
Judul
Tipe Dokumen
Aksi
1
3-0-DEPAN-halina.pdf
[PAK] Halaman Cover
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Dokumen-Pendukung-A note on cut properties of semilattice valued fuzzy sets.pdf
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Scimago-Novi Sad Journal of Mathematics.pdf
Dokumen Pendukung Karya Ilmiah (Hibah, Publikasi, Penelitian, Pengabdian)
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A note on cut properties of semilattice valued fuzzy sets.pdf
