On Bijective Correspondence between Fuzzy Reflexive Approximation Spaces and Fuzzy Transformation Systems

Sutapa Mahato () and S. P. Tiwari
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Sutapa Mahato: 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

New Mathematics and Natural Computation (NMNC), 2020, vol. 16, issue 02, 291-304

Abstract: The objective of this paper is to establish the relationship between fuzzy approximation operators and fuzzy transformation systems. We show that for each upper fuzzy transformation system there exists a fuzzy reflexive approximation space and vice-versa. We further establish such relationship between lower fuzzy transformation systems and fuzzy reflexive approximation spaces under the condition that the underline lattice structure satisfies double negation law.

Keywords: Fuzzy approximation spaces; fuzzy transformation systems; category; functor (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1142/S1793005720500179

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