GENERALIZED RESIDUATED LATTICES BASED F-TRANSFORM

Authors

  • A. P. Singh Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad-826004, Jharkhand, India
  • I. Perfilieva University of Ostrava, Institute for Research and Applications of Fuzzy Modeling, NSC IT4Innovations, 30. dubna 22, 701 03 Ostrava 1, Czech Republic
  • S. P. Tiwari Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad-826004, Jharkhand, India
Abstract:

The aim of the present work is to study the  $F$-transform over a generalized residuated lattice.  We discuss the properties that are common with the $F$-transform over a residuated lattice. We show that the $F^{uparrow}$-transform can be used in establishing a fuzzy (pre)order on the set of fuzzy sets.

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Journal title

volume 15  issue 2

pages  165- 182

publication date 2018-04-29

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