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Ghodousian, Amin, Falahatkar, Sara. (1401). A comparison between the resolution and linear optimization of FREs defined by product t-norm and geometric mean operator. , 54(1), 11-22. doi: 10.22059/jac.2022.87918
Amin Ghodousian; Sara Falahatkar. "A comparison between the resolution and linear optimization of FREs defined by product t-norm and geometric mean operator". , 54, 1, 1401, 11-22. doi: 10.22059/jac.2022.87918
Ghodousian, Amin, Falahatkar, Sara. (1401). 'A comparison between the resolution and linear optimization of FREs defined by product t-norm and geometric mean operator', , 54(1), pp. 11-22. doi: 10.22059/jac.2022.87918
Ghodousian, Amin, Falahatkar, Sara. A comparison between the resolution and linear optimization of FREs defined by product t-norm and geometric mean operator. , 1401; 54(1): 11-22. doi: 10.22059/jac.2022.87918

A comparison between the resolution and linear optimization of FREs defined by product t-norm and geometric mean operator

Journal of Algorithms and Computation
مقاله 2، دوره 54، شماره 1، شهریور 2022، صفحه 11-22    اصل مقاله (292.6 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22059/jac.2022.87918
نویسندگان
Amin Ghodousian* 1؛ Sara Falahatkar2
1Faculty of Engineering Science, College of Engineering, University of Tehran, P.O.Box 11365-4563, Tehran, Iran.
2Department of Engineering Science, College of Engineering, University of Tehran
چکیده
In this paper, a type of fuzzy system is firstly investigated whereby the feasible region is defined by the fuzzy relational equalities and the geometric mean as fuzzy composition. Some related basic and theoretical properties of such fuzzy relational equations are derived and the feasible region is completely determined. Also, it is proved that the feasible solutions set can be stated by one maximum solution and a finite number of minimal solutions. Moreover, a comparison is made between this region and fuzzy relational equations defined by the product t-norm. Finally, an example is described to illustrate the differences of these two FRE systems.
کلیدواژه‌ها
Fuzzy relational equalities؛ fuzzy compositions؛ t-norm؛ geometric mean operator and linear optimization
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تعداد مشاهده مقاله: 171
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