ON (L, M)-FUZZY CLOSURE SPACES

AYGÜN H., ÇETKİN V., ABBAS S. E.

IRANIAN JOURNAL OF FUZZY SYSTEMS, cilt.9, sa.5, ss.41-62, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 5
  • Basım Tarihi: 2012
  • Dergi Adı: IRANIAN JOURNAL OF FUZZY SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.41-62
  • Kocaeli Üniversitesi Adresli: Evet

Özet

The aim of this paper is to introduce (L, M)-fuzzy closure structure where L and M are strictly two-sided, commutative quantales. Firstly, we define (L, M)-fuzzy closure spaces and get some relations between (L, M)double fuzzy topological spaces and (L, M)-fuzzy closure spaces. Then, we introduce initial (L, M)-fuzzy closure structures and we prove that the category (L, M)-FC of (L, M)-fuzzy closure spaces and (L, M)-C-maps is a topological category over the category SET. From this fact, we define products of (L, M)-fuzzy closure spaces. Finally, we show that an initial structure of (L, M)-double fuzzy topological spaces can be obtained by the initial structure of (L, M)-fuzzy closure spaces induced by them.