A Novel Framework of q-Rung Orthopair Fuzzy Sets in Field

Kholood Alnefaie, Qin Xin, Ahmad Almutlg , El-Sayed A. Abo-Tabl, M. Haris Mateen

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Abstract

In this manuscript, we proposed a novel framework of the q-rung orthopair fuzzy subfield
(q-ROFSF) and illustrate that every Pythagorean fuzzy subfield is a q-rung orthopair fuzzy subfield
of a certain field. We extend this theory and discuss its diverse basic algebraic characteristics in
detail. Furthermore, we prove some fundamental results and establish helpful examples related to
them. Moreover, we present the homomorphic images and pre-images of the q-rung orthopair fuzzy
subfield (q-ROFSF) under field homomorphism. We provide a novel ideology of a non-standard
fuzzy subfield in the extension of the q-rung orthopair fuzzy subfield (q-ROFSF).
Original languageEnglish
Article number114
Number of pages19
JournalSymmetry
Volume2023
Issue number15
Publication statusPublished - 31 Dec 2022

Keywords

  • q-rung orthopair fuzzy set
  • q-rung orthopair fuzzy subfield
  • q-rung orthopair fuzzy homomorphism subfield

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