DECISION MAKING UNDER INCOMPLETE DATA: INTUITIONISTIC MULTI FUZZY IDEALS OF NEAR-RING APPROACH

Creative Commons License

Batool N., Hussain S., KAUSAR N., Munir M., Li R. Y. M., Khan S.

Decision Making: Applications in Management and Engineering, cilt.6, sa.1, ss.564-582, 2023 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 6 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.31181/dmame04012023b
  • Dergi Adı: Decision Making: Applications in Management and Engineering
  • Derginin Tarandığı İndeksler: Scopus, Directory of Open Access Journals
  • Sayfa Sayıları: ss.564-582
  • Anahtar Kelimeler: Fuzzy Multi Near-ring, fuzzy multi ring, Ideals, Intuitionistic Fuzzy Set, Intuitionistic multi fuzzy Near-ring, Near-ring
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

Real-world data is often partial, uncertain, or incomplete. Decision making based on data as such can be addressed by fuzzy sets and related systems. This article studies the intuitionistic multi-fuzzy sub-near rings and Intuitionistic multi-fuzzy ideals of near rings. It presents some of the elementary operations and relations defined on these structures. The concept of level subsets and support of the Intuitionistic multi-fuzzy sub-near ring is also presented. It looks into and demonstrated a few characteristics of intuitionistic multi-fuzzy near-rings and ideals. This research advances fuzzy set theory, which is often applied to problems involving pattern recognition and multiple criterion decision-making. Thus, the results may be beneficial to artificial intelligence related research. Alternatively, the intuitionistic multi-fuzzy approach may be applied to vector spaces and modules or extended to inter-valued fuzzy systems.