TY - JOUR ID - 88038 TI - Comparison of solutions resulted from direct problems formulated as FRE JO - Journal of Algorithms and Computation JA - JAC LA - en SN - 2476-2776 AU - Ghodousian, Amin AU - Zal, Sara AD - Faculty of Engineering Science, College of Engineering, University of Tehran, P.O.Box 11365-4563, Tehran, Iran. AD - College of Engineering, University of Tehran, P.O.Box 11365-4563, Tehran, Iran. Y1 - 2022 PY - 2022 VL - 54 IS - 1 SP - 73 EP - 87 KW - Fuzzy relation KW - composition of fuzzy relations KW - Fuzzy relational equations KW - and Fuzzy operators DO - 10.22059/jac.2022.88038 N2 - 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. UR - https://jac.ut.ac.ir/article_88038.html L1 - https://jac.ut.ac.ir/article_88038_1854bbcd808bbf0954cc710f98d12240.pdf ER -