Cosets and Congruence Relations over Residuated Lattices in the SoftMultiset Framework

Authors

  • ANUSUYA ILAMATHI VS Department of Mathematics, Mount Zion College of Engineering & Technology, Pudukkottai, Tamilnadu, India
  • YAMUNA S Department of Mathematics, Kathir College of Engineering, Coimbatore, Tamilnadu, India

DOI:

https://doi.org/10.19139/soic-2310-5070-3009

Keywords:

softmultiset; softmultiset filter; cosets of softmultiset filter; softmultiset equivalence relation; softmultiset congruence relation.

Abstract

This paper introduces cosets, congruence relations, and equivalence relations of softmultiset filters over residuated lattices. Various properties ofthese structures are examined, providing insights into their algebraic char-acteristics and foundational role in soft-multiset theory.

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Published

2025-11-20

How to Cite

VS, A. I., & YAMUNA S. (2025). Cosets and Congruence Relations over Residuated Lattices in the SoftMultiset Framework. Statistics, Optimization & Information Computing, 15(3), 2013–2025. https://doi.org/10.19139/soic-2310-5070-3009

Issue

Vol. 15 No. 3 (2026)

Section

Research Articles

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