Logical Connectives of Fuzzy Soft Set Theory

Santanu Acharjee and Sidhartha Medhi ()
Additional contact information
Santanu Acharjee: Department of Mathematics, Gauhati University, Guwahati 781014, Assam, India
Sidhartha Medhi: Department of Mathematics, Gauhati University, Guwahati 781014, Assam, India

New Mathematics and Natural Computation (NMNC), 2025, vol. 21, issue 01, 339-352

Abstract: Soft set theory, introduced by Molodtsov [D. Molodtsov, Soft set theory–First results, Computers & Mathematics with Applications 37(4–5) (1999) 19–31], provides a flexible framework for managing uncertainty and vagueness, addressing limitations in traditional approaches such as fuzzy set theory, rough set theory, and probability theory. Over time, fuzzy soft set theory has emerged as a significant extension, blending the principles of fuzzy set theory and soft set theory to support applications in various decision-making processes. This study revisits fuzzy soft set theory, addressing conceptual errors and inaccuracies in the definitions of t-norm, t-conorm, strong negation, and implication that deviated from Molodtsov’s foundational principles. Corrected definitions, viz., fuzzy soft t-norm, fuzzy soft t-conorm, fuzzy soft negation, and fuzzy soft implication are proposed to ensure theoretical rigor. The paper rectifies conceptual errors in prior work by Ali and Shabir [M. I. Ali and M. Shabir, Logic connectives for soft sets and fuzzy soft sets, IEEE Transactions on Fuzzy Systems 22(6) (2013) 1431–1442] and introduces refined results to strengthen the logical framework, providing a consistent foundation for future research and hybrid model development in this domain.

Keywords: Fuzzy soft set; soft set; fuzzy soft t-norm; fuzzy soft t-conorm; fuzzy soft negation; fuzzy soft implication (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S1793005726500407
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:nmncxx:v:21:y:2025:i:01:n:s1793005726500407

Ordering information: This journal article can be ordered from

DOI: 10.1142/S1793005726500407

Access Statistics for this article

New Mathematics and Natural Computation (NMNC) is currently edited by Paul P Wang

More articles in New Mathematics and Natural Computation (NMNC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().