Sains Ma1aysiana 27: 83-91 (1998)                                                                                               Pengajian Kuantitatif/

                                                                                                                                                Quantitative Studies

Beberapa Keputusan dalam Ruang Hausdorff Kabur

(Some results on fuzzy Hausdorff spaces)

Abd Fatah Wahab

Unit Sains Matematik

Fakulti Sains dan Sastera Ikhtisas

Universiti Putra Malaysia Terengganu Mengabang Telipot

21030 Kuala Terengganu Terengganu D.I.

Abu Osman Md Tap

Jabatan Matematik

Fakulti Sains Matematik

Universiti Kebangsaan Malaysia

43600 UKM Bangi Selangor D.E.

ABSTRAK

Sifat warisan dan kepadatan kabur dalam ruang Hausdorff kabur dikaji. Beberapa pencirian ruang Hausdorff kabur diberikan. Selanjutnya ditakrifkan tertutup mutlak kabur dan ruang minimum Hausdorff kabur serta perkaitannya dikaji. Penciriannya melalui turas kabur dan tudung kabur diberikan.

ABSTRACT

Some hereditary and fuzzy compactness properties in fuzzy Hausdorff spaces are studied. Some characterizations of the fuzzy Hausdorff spaces are given. Furthermore we define the fuzzy absolutely closed and fuzzy Hausdorff minimal space and study its relationships. Its characterizations via fuzzy filters and fuzzy covering are given.

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