Direct Product of Finite Intuitionistic Fuzzy Normal Subrings over Non-Associative Rings

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Kausar N., Munir M., Kousar S., Farajzadeh A., ERSOY B. A.

THAI JOURNAL OF MATHEMATICS, cilt.20, sa.3, ss.1041-1064, 2022 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 3
  • Basım Tarihi: 2022
  • Doi Numarası: 10.29020/nybg.ejpam.v12i2.3427
  • Dergi Adı: THAI JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Sayfa Sayıları: ss.1041-1064
  • Anahtar Kelimeler: Direct product, fuzzy LA-subrings, intuitionistic fuzzy normal LA-subrings
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

Shal et al. [21], introduced the concept of intuitionistic fuzzy normal subrings over a non-associative ring. In this note, we extend the concept of [21]. Spcefically we prove that, X = A x B and Y = C x D be two LA-subrings of an LA-ring R-1 x R-2. Then X & cap; Y is an LA-subring of an LA-ring R-1 x R-2 if and only if the intuitionistic characteristic function chi Z = (mu(chi Z), gamma(chi Z)) of Z = X & cap; Y is an intuitionistic fuzzy normal LA-subring of an LA-ring R1 x R-2.