RUANG HAUSDORFF NEARLY FUZZY

Ana Rusmiana, Dr. Ch. Rini Indrati, M. Si.

2012 | Tesis | S2 Matematika

Semenjak kemunculannya, perkembangan teori himpunan fuzzy demikian pesat dalam beberapa dekade terakhir. Perkembangan tersebut mempengaruhi para ahli matematika untuk meneliti tentang ruang topologi fuzzy, khususnya ruang Hausdorff nearly fuzzy dan ruang Hausdorff fuzzy. Pengertian ruang Hausdorff nearly fuzzy dan ruang Hausdorff fuzzy menurut beberapa ahli matematika dijelaskan pada tesis ini. Sifat-sifat yang berlaku pada ruang Hausdorff nearly fuzzy dijelaskan secara detail pada tesis ini. Sebagian sifat yang berlaku pada ruang Hausdorff masih berlaku pada ruang Hausdorff nearly fuzzy dan sebagian sifat lainnya tidak berlaku. Selain meneliti sifat-sifat tersebut, di dalam tesis ini juga diteliti hubungan antara ruang Hausdorff nearly fuzzy dan ruang Hausdorff fuzzy

Since its emergence, the development of fuzzy set theory so rapidly in recent decades. The development affect mathematicians to research on fuzzy topological space, particularly on nearly fuzzy Hausdorff space and fuzzy Hausdorff space. Definition of nearly fuzzy Hausdorff space and fuzzy Hausdorff space according to some mathematicians explain in this thesis. Properties of nearly fuzzy Hausdorff space are described in this thesis. Some properties that apply to the Hausdorff space are still valid in the nearly fuzzy Hausdorff space and some other properties do not apply. In addition to examining those properties, in this thesis also examined the relationship between nearly fuzzy Hausdorff space and fuzzy Hausdorff space.

Kata Kunci : ruang Housdorff nearly fuzzy, ruang Housedoeff fuzzy, topologi fuzzy