On (L, M)-Double Fuzzy Ideals

ÇETKİN V., AYGÜN H.

INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, vol.14, no.1, pp.166-174, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 1
  • Publication Date: 2012
  • Journal Name: INTERNATIONAL JOURNAL OF FUZZY SYSTEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.166-174
  • Kocaeli University Affiliated: Yes

Abstract

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.