On (L, M)-Double Fuzzy Ideals

ÇETKİN V., AYGÜN H.

INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, cilt.14, sa.1, ss.166-174, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 1
  • Basım Tarihi: 2012
  • Dergi Adı: INTERNATIONAL JOURNAL OF FUZZY SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.166-174
  • Kocaeli Üniversitesi Adresli: Evet

Özet

The goal of this paper is to introduce the notions of (L, M)-double fuzzy ideals and (L, M)-double fuzzy ideal bases where L and M are strictly two-sided, commutative quanta and also investigate the relationships between these two structures. Then, we construct a functor from the category of (L, M)-double fuzzy ideal spaces to the category of (L, M)-double fuzzy cotopological spaces. Furthermore, we show the existence of the initial and the final (L, M)-double fuzzy ideal base structures. In particular, we define product of (L, M)-double fuzzy ideal bases.