Comparison of solutions resulted from direct problems formulated as FRE
Optimization and Control
2022-07-26 v1
Abstract
In this paper, we investigate direct solution of FRE and compare their results with expected real consequences. We give an applied example formulated by a FRE problem and show that FRE defined by maximum t-conorm and an arbitrary t-norm can yield different interpretations for our example. A necessary condition and a sufficient condition are presented that guarantee FRE defined by maximum t-conorm and minimum t-norm attain the same solutions as human mind does. Also, we present a t-conorm and use it instead of maximum t-conorm in FRE to obtain solutions with highest similarity with real ones. Finally, we show that under some conditions, FRE defined by any t-conorm and any t-norm may find a solution which is not reasonable.
Cite
@article{arxiv.2207.12183,
title = {Comparison of solutions resulted from direct problems formulated as FRE},
author = {Amin Ghodousiana and Sara Zal},
journal= {arXiv preprint arXiv:2207.12183},
year = {2022}
}