Cubic Intuitionistic Fuzzy Soft Set and its Distance Measures

  • Muhammad Saqlain School of Mathematics, Northwest University, Xi’an 710069, China
  • Raiha Imran Department of Mathematics, Lahore Garrison University, DHA Phase-VI, Sector C, Lahore, 54000, Pakistan.
  • Sabahat Hassan Department of Mathematics, Lahore Garrison University, DHA Phase-VI, Sector C, Lahore, 54000, Pakistan.
Keywords: cubic set, cubic intuitionistic fuzzy soft set, fuzzy set, intuitionistic set, intuitionistic fuzzy soft set

Abstract

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To deal with vagueness, falsity, attributive values, and inconsistency, this study introduced the cubic intuitionistic fuzzy soft set (CIFS-set) which is the extension of the cubic intuitionistic fuzzy set and proposed a distance measure, Hamming distance, Euclidean distance, and separation measures of CIFS-set. Moreover, we presented the aggregate operator (P-union, R-intersection) of CIFS-sets. The proposed CIFS-set is more reliable, efficient, and accurate. For the future research MCDM and MCGDM techniques could be proposed to deal with real-life issues, and this CIFS-set can also be extended for its hybrids.

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Published
2022-06-10
How to Cite
1.
Saqlain M, Raiha Imran, Sabahat Hassan. Cubic Intuitionistic Fuzzy Soft Set and its Distance Measures. Sci Inquiry Rev. [Internet]. 2022Jun.10 [cited 2024Dec.13];6(2):59-5. Available from: https://journals.umt.edu.pk/index.php/SIR/article/view/2832
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