F-transforms determined by implicators

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

1 Department of Mathematics \& Computing, Indian Institute of Technology (ISM) Dhanbad-826004, India

2 Department of Mathematics \& Computing, Indian Institute of Technology (ISM) Dhanbad-826004, 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.2021.6174
چکیده

This work aims to study F-transforms based on general implicators and to investigate their basic properties. Interestingly, we show that some of the properties of  F-transforms fail to hold in the case of implicators, such as S- and QL-implicators. {Further, we establish an equivalence between L-fuzzy transformation systems and F-transforms}.

کلیدواژه‌ها
Implicator, L-fuzzy partition, F-transform, L-fuzzy transformation system