Mathematics and Computational Sciences

Algorithm for data filling of an incomplete Turiyam soft set based on parameter association

Articles in Press

Document Type : Original Article

Authors

M S Muthukamalam
J Subhashini

Department of Mathematics, St. Johns College, Palayamkottai, Affiliated to Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli 627012, Tamilnadu.

https://doi.org/10.30511/mcs.2026.2077693.1616
Abstract
In real world scenarios, data is often missing or unavailable due to various reasons. This incomplete or missing data can affect the reliability of decision-making models. In this paper, we defined the concept of an Incomplete Turiyam Soft Set, which is a Turiyam Soft Set with missing or unavailable data. To understand the relationships between the parameters of the Incomplete Turiyam Soft Set, we introduced the concepts of Consistent and Inconsistent Association between parameters. We defined new terms such as consistent association number, consistent association degree, inconsistent association number, and inconsistent association degree to measure these associations. Finally, we presented a Data Filling Algorithm to estimate the missing values based on the parameter associations. Furthermore, a real-life example was included to show how the proposed method could be applied in decision-making situations.

Keywords

Turiyam soft set
Incomplete Turiyam soft set
Paramater association
Association degree
Subjects
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[3] Saha, A., Broumi, S., & Smarandache, F. (2020). Neutrosophic soft sets applied on incomplete data. Infinite Study.
[4] Singh, P. K. (2021). Data with Turiyam set for fourth dimension quantum information processing. Journal of Neutrosophic and Fuzzy Systems, 1(1), 9-23.
[5] Singh, P. K. (2021). Fourth dimension data representation and its analysis using Turiyam Context. Journal of Computer and Communications, 9(6), 222-229.
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[7] Smarandache, F. (2005). Neutrosophic set-a generalization of the intuitionistic fuzzy set. International journal of pure and applied mathematics, 24(3), 287. 
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Mathematics and Computational Sciences

Articles in Press, Accepted Manuscript
Available Online from 05 June 2026

  • Receive Date 14 November 2025
  • Revise Date 01 June 2026
  • Accept Date 02 June 2026

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