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Comparison of solutions resulted from direct problems formulated as FRE | ||
| Journal of Algorithms and Computation | ||
| دوره 54، شماره 1، شهریور 2022، صفحه 73-87 اصل مقاله (174.11 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22059/jac.2022.88038 | ||
| نویسندگان | ||
| Amin Ghodousian* 1؛ Sara Zal2 | ||
| 1Faculty of Engineering Science, College of Engineering, University of Tehran, P.O.Box 11365-4563, Tehran, Iran. | ||
| 2College of Engineering, University of Tehran, P.O.Box 11365-4563, Tehran, Iran. | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Fuzzy relation؛ composition of fuzzy relations؛ Fuzzy relational equations؛ and Fuzzy operators | ||
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آمار تعداد مشاهده مقاله: 196 تعداد دریافت فایل اصل مقاله: 165 |
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