F-transforms determined by overlap and grouping maps over a complete lattice

F-transforms determined by overlap and grouping maps over a complete lattice

This paper is about the study of F-transforms based on overlap and grouping maps, residual and co-residual implicator over complete lattice from both constructive and axiomatic approaches. Further, the duality, basic properties, and the inverse of proposed F-transforms have been studied, and axiomat...

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Bibliographic Details
Main Authors: Tripathi, Abha, Tiwari, S. P, Mahato, Sutapa
Format: Journal Article
Language:English
Published: 16-12-2022
Subjects:
Mathematics - Logic
Mathematics - Rings and Algebras
Online Access:Get full text
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Summary:This paper is about the study of F-transforms based on overlap and grouping maps, residual and co-residual implicator over complete lattice from both constructive and axiomatic approaches. Further, the duality, basic properties, and the inverse of proposed F-transforms have been studied, and axiomatic characterizations of proposed direct F-transforms are investigated.
DOI:10.48550/arxiv.2301.12894