On LM-Valued F-Transforms, LM-Valued Fuzzy Rough Sets and LM-Valued Fuzzy Transformation Systems

Abha Tripathi (), S. P. Tiwari and Anand P. Singh ()
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Abha Tripathi: Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad 826004, India
S. P. Tiwari: Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad 826004, India
Anand P. Singh: University of Ostrava, Institute for Research and Applications of Fuzzy Modeling, NSC IT4Innovations, 30. dubna 22, 701 03, Ostrava 1, Czech Republic

New Mathematics and Natural Computation (NMNC), 2021, vol. 17, issue 02, 339-359

Abstract: The goal of this contribution is to propose LM-valued F-transforms, which are essentially the many-valued generalizations of the notion of lattice-valued F-transforms. Further, we associate the concepts of LM-valued fuzzy rough sets and ML-graded fuzzy topologies/co-topologies with LM-valued F-transforms. Moreover, we show an interesting relationship between LM-valued F-transforms and LM-valued fuzzy transformation systems.

Keywords: LM-valued fuzzy partitions; LM-valued F-transforms; LM-valued fuzzy transformation systems (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S1793005721500186

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