A solution to an open problem on the T-product of TL-fuzzy subgroups

YAMAK S., KAZANCI O., BAYRAK D.

FUZZY SETS AND SYSTEMS, cilt.178, sa.1, ss.102-106, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 178 Sayı: 1
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.fss.2011.04.009
  • Dergi Adı: FUZZY SETS AND SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.102-106
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

Many studies have investigated necessary and sufficient conditions whereby fuzzy subgroups of a Cartesian product of groups are a Cartesian product of fuzzy subgroups. Chon [Fuzzy subgroups as products, Fuzzy Sets and Systems 141 (2004) 505-508] found such conditions under minimum operation. He pointed out that the problem of finding necessary and sufficient conditions for T-fuzzy subgroups under a t-norm operation is still open. In this study, we solve the problem and identify necessary and sufficient conditions under t-norm operation. (C) 2011 Elsevier B.V. All rights reserved.