Work

Interval-Valued Intuitionistic Fuzzy n-Fold Implicative Filters in Hoop Algebra

Year: 2026

Type: article

Abstract: This paper introduces the concept of interval-valued intuitionistic fuzzy n-fold implicative filters in hoop algebras and explores their fundamental properties. We establish several new and equivalent characterizations, investigate their closure properties, and provide explicit algorithms for their construction and verification. Furthermore, we examine the relationships between interval-valued intuitionistic fuzzy n-fold implicative filters, interval-valued intuitionistic fuzzy filters, and classical n-fold implicative filters. The results presented here extend beyond straightforward generalizations, offering both practical tools and theoretical insights that are not previously available in the literature. The results presented here build upon earlier studies by systematically characterizing interval-valued intuitionistic fuzzy n-fold implicative filters in hoop algebras. Several new equivalent conditions and computational methods are introduced, and relationships with existing filter concepts are clarified.

Source: Axioms

DOI: 10.3390/axioms15030221

Authors: Amal S. Alali, Tahsin Oner, Ravi Kumar Bandaru, Rajesh Neelamegarajan, Ibrahim Senturk

Institutions: Princess Nourah bint Abdulrahman University, Ege University, VIT-AP University, Rajah Serfoji Government College (Autonomous)

Language: English

Topic: Advanced Algebra and Logic

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: Princess Nourah Bint Abdulrahman University