ACADSTAFF UGM
| Title | : | A note on cut properties of semilattice valued fuzzy sets |
| 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) |
| Date | : | 0 2015 |
| Keyword | : | Cuts,Dual semi-closure systems,Meet (join)-fuzzy sets,Semi-closure systems Cuts,Dual semi-closure systems,Meet (join)-fuzzy sets,Semi-closure systems |
| 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. |
| Group of Knowledge | : | Matematika |
| Original Language | : | English |
| Level | : | Internasional |
| Status | : |
Published
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3-0-DEPAN-halina.pdf
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3-Daftar-ISI-Halina.pdf
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4-0Editor-HALINA.pdf
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Dokumen-Pendukung-A note on cut properties of semilattice valued fuzzy sets.pdf
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| 5 |
Scimago-Novi Sad Journal of Mathematics.pdf
Document Type : Dokumen Pendukung Karya Ilmiah (Hibah, Publikasi, Penelitian, Pengabdian)
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| 6 |
A note on cut properties of semilattice valued fuzzy sets.pdf
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