ANTI-FUZZY ALGEBRAS OVER ANTI-FUZZY FIELDS
By
Sanjeet Kumar1, Manoranjan Kumar Singh1,* and Sudipta Gayen2
1Department of Mathematics, Magadh University, Bodh-Gaya, Bihar, India-824234
2Centre for Data Science, Faculty of Engineering & Technology, Siksha ’O’ Anusandhan (Deemed to be University), Odisha, India-751030
Email: drsanjeetkumar1994@gmail.com, drmksingh gaya@yahoo.com, sudi23dipta@gmail.com
(Received: January 08, 2025; In format: June 09, 2025; Revised: June 30, 2025; Accepted: July 10, 2025)
DOI: https://doi.org/10.58250/jnanabha_SI.2025.55104
Abstract
This article introduces a comprehensive framework for anti-fuzzy algebra within the context of the anti-fuzzy field, broadening its fundamental concepts to cover a wider range. To facilitate this development, a collection of illustrative examples and theoretical analyses is included, providing a deeper understanding of its structural properties and possible applications.
2020 Mathematical Sciences Classification: 03E72, 08A72, 20N25.
Keywords and Phrases: Anti-fuzzy field, Fuzzy linear spaces, Anti-fuzzy algebra, Fuzzy set theory.