Compatible congruences defined via triangular norms and triangular conorms

İnce M. A.

International Journal of General Systems, 2025 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1080/03081079.2025.2510460
  • Dergi Adı: International Journal of General Systems
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Congruence, S-compatible, T-compatible, t-conorm, t-norm
  • Recep Tayyip Erdoğan Üniversitesi Adresli: Evet

Özet

The main aim of this paper is to investigate relationship between ideals or filters of a bounded lattice and T-compatible or S-compatible congruences which are obtained by using the definition of compatible aggregation functions. Additionally, we introduce some congruences and characterize the conditions under which they belong to the sets of T-compatible or S-compatible congruences, denoted as (Formula presented.) and (Formula presented.), respectively. We define an equivalence class denoted by (Formula presented.) (A is an aggregation function and I is a nonempty set) and elaborate on the properties of this class when A is t-norm or t-conorm.