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

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

Decision Making: Applications in Management and Engineering, vol.6, no.1, pp.564-582, 2023 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 6 Issue: 1
  • Publication Date: 2023
  • Doi Number: 10.31181/dmame04012023b
  • Journal Name: Decision Making: Applications in Management and Engineering
  • Journal Indexes: Scopus, Directory of Open Access Journals
  • Page Numbers: pp.564-582
  • Keywords: Fuzzy Multi Near-ring, fuzzy multi ring, Ideals, Intuitionistic Fuzzy Set, Intuitionistic multi fuzzy Near-ring, Near-ring
  • Yıldız Technical University Affiliated: Yes

Abstract

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.