GENERALIZED RESIDUATED LATTICES BASED F-TRANSFORM

نویسندگان
Tiwari, S. P. ID 1
Singh, A. P. ID 2
Perfilieva, I. ID 3

1 Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad-826004, Jharkhand, India

2 Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad-826004, Jharkhand, India

3 University of Ostrava, Institute for Research and Applications of Fuzzy Modeling, NSC IT4Innovations, 30. dubna 22, 701 03 Ostrava 1, Czech Republic

doi
10.22111/ijfs.2018.3766
چکیده

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.

کلیدواژه‌ها
Generalized residuated lattice, Fuzzy partition, Direct $F$-transform, Inverse $F$-transform