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

Abha Tripathi; S. P. Tiwari; Sutapa Mahato

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arXiv · 2301.12894

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

Abha Tripathi·S. P. Tiwari·Sutapa Mahato

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Abstract

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.

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BibTeX RIS

Abha Tripathi, S. P. Tiwari, Sutapa Mahato. 2022-12-16. F-transforms determined by overlap and grouping maps over a complete lattice. https://arxiv.org/abs/2301.12894

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