An Algebraic Framework for Generalized Interval-Valued Intuitionistic Fuzzy Soft Expert Sets

Authors

  • Noreen Mushtaq Department of Mathematics, Women University Swabi, Swabi, KPK, Pakistan. https://orcid.org/0009-0007-1309-3233 Author
  • Wajid Ali School of Computer Science and Artificial Intelligence, Duy Tan University, Danang, 550000, Vietnam. https://orcid.org/0000-0002-4926-722X Author
  • Afshan Qayyum Department of Mathematics, NUML, H-9, Islamabad, Pakistan. https://orcid.org/0009-0007-7669-1767 Author
  • Faiza Tufail Department of mathematics, University of Narowal, Narowal Pakistan. https://orcid.org/0000-0001-9602-9892 Author
  • Amal Kumar Adak Department of mathematics, Ganesh Dutt College, Begusarai, Bihar, India. https://orcid.org/0000-0002-3644-782X Author

DOI:

https://doi.org/10.59543/e35nbj57

Keywords:

Fuzzy soft sets; Interval-valued fuzzy soft sets; Soft sets; Intuitionistic soft sets

Abstract

The extension of algebraic and analytical concepts to the theory of fuzzy sets appears to play a central role in the investigation of nondeterministic techniques. Since an exact description of any real physical situation is virtually impossible, it is necessary to develop schemes which deal analytically with decision processes in an imprecise environment. In this paper, we introduce the concept of Generalized Interval-Valued Intuitionistic Fuzzy Soft Expert set and its operations and study some of their structural properties. We also discuss Algebras on Generalized Interval-Valued Intuitionistic Fuzzy Soft Expert sets, fundamental laws, Algebras on relative complement and Algebra of inclusion with the new operations in a systematic way.

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Published

2026-08-01

How to Cite

Mushtaq, N., Ali, W., Qayyum, A., Tufail, F., & Kumar Adak, A. (2026). An Algebraic Framework for Generalized Interval-Valued Intuitionistic Fuzzy Soft Expert Sets. Intelligent Systems Research and Applications Journal, 2, 399-427. https://doi.org/10.59543/e35nbj57

Issue

Vol. 2 (2026): Volume 2

Section

Articles

License

Copyright (c) 2026 Noreen Mushtaq, Wajid Ali, Afshan Qayyum, Faiza Tufail, Amal Kumar Adak (Author)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

ISRAJ is published Open Access under a Creative Commons CC-BY 4.0 license. Authors retain full copyright, with the first publication right granted to the journal.