Decision making under incomplete data: Intuitionistic multi fuzzy ideals of near-ring approach

Authors

  • Nadia Batool Department of Mathematics, University of Baltistan Skardu, Gilgit Baltiistan 16100, Pakistan
  • Sadaqat Hussain Department of Mathematics, University of Baltistan Skardu, Gilgit Baltiistan 16100, Pakistan
  • Nasreen Kausar Department of Mathematics, Faculty of Arts ans Sciences, Yildiz Technical University, Istanbul, Turkey https://orcid.org/0000-0002-8659-0747
  • Mohammed Munir Department of Mathematics, Government Postgraduate College 22010, Khyber Pakhtunkhwa, Pakistan
  • Rita Yi Man Li Department of Economics and Finance, Hong Kong Shue Yan University, Hong Kong, China https://orcid.org/0000-0002-4582-8659
  • Salma Khan Department of Mathematics and Statistics Hazara University Mansehra, 21120, Khyber Pakhtunkhwa, Pakistan https://orcid.org/0000-0003-1840-2764

DOI:

https://doi.org/10.31181/dmame04012023b

Keywords:

Intuitionistic Fuzzy Set, Near-ring, Fuzzy Multi Near-ring, Intuitionistic multi fuzzy Near-ring, Ideals, fuzzy multi ring

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.

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 demonstrates 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.

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References

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Published

2023-04-08

How to Cite

Batool, N. ., Hussain, S. ., Kausar, N. ., Munir, M. ., Li, R. Y. M., & Khan, S. . (2023). Decision making under incomplete data: Intuitionistic multi fuzzy ideals of near-ring approach. Decision Making: Applications in Management and Engineering, 6(1), 564–582. https://doi.org/10.31181/dmame04012023b

Issue

Vol. 6 No. 1 (2023): Decision Making: Applications in Management and Engineering

Section

Regular articles

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