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

2022/12/16 by Abha Tripathi, Tripathi, Abha, S. P. Tiwari +3 · 1 citation
Computer Science · #Rough Sets and Fuzzy Logic #Advanced Algebra and Logic

paper · pdf · doi:10.48550/arxiv.2301.12894

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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• On unification of categories associated with F -transforms and fuzzy pretopological spaces as Qua category

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