@article { author = {Ghodousian, Amin and Zal, Sara}, title = {Comparison of solutions resulted from direct problems formulated as FRE}, journal = {Journal of Algorithms and Computation}, volume = {54}, number = {1}, pages = {73-87}, year = {2022}, publisher = {University of Tehran}, issn = {2476-2776}, eissn = {2476-2784}, doi = {10.22059/jac.2022.88038}, 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.}, keywords = {Fuzzy relation,composition of fuzzy relations,Fuzzy relational equations,and Fuzzy operators}, url = {https://jac.ut.ac.ir/article_88038.html}, eprint = {https://jac.ut.ac.ir/article_88038_1854bbcd808bbf0954cc710f98d12240.pdf} }