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Ghodousian, A., Azarnejad, Tarane, Samie Yousefi, Farnood. (1398). Max-Min averaging operator: fuzzy inequality systems and resolution. , 51(1), 55-70. doi: 10.22059/jac.2019.71296
A. Ghodousian; Tarane Azarnejad; Farnood Samie Yousefi. "Max-Min averaging operator: fuzzy inequality systems and resolution". , 51, 1, 1398, 55-70. doi: 10.22059/jac.2019.71296
Ghodousian, A., Azarnejad, Tarane, Samie Yousefi, Farnood. (1398). 'Max-Min averaging operator: fuzzy inequality systems and resolution', , 51(1), pp. 55-70. doi: 10.22059/jac.2019.71296
Ghodousian, A., Azarnejad, Tarane, Samie Yousefi, Farnood. Max-Min averaging operator: fuzzy inequality systems and resolution. , 1398; 51(1): 55-70. doi: 10.22059/jac.2019.71296

Max-Min averaging operator: fuzzy inequality systems and resolution

Journal of Algorithms and Computation
مقاله 5، دوره 51، شماره 1، شهریور 2019، صفحه 55-70    اصل مقاله (128.49 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22059/jac.2019.71296
نویسندگان
A. Ghodousian* 1؛ Tarane Azarnejad2؛ Farnood Samie Yousefi2
1University of Tehran, College of Engineering, Faculty of Engineering Science
2Department of Algorithms and Computation, Unversity of Tehran.
چکیده
 Minimum and maximum operators are two well-known t-norm and s-norm used frequently in fuzzy systems. In this paper, two different types of fuzzy inequalities are simultaneously studied where the convex combination of minimum and maximum operators is applied as the fuzzy relational composition. Some basic properties and theoretical aspects of the problem are derived and four necessary and sufficient conditions are presented. Moreover, an algorithm is proposed to solve the problem and an example is described to illustrate the algorithm.
کلیدواژه‌ها
Fuzzy relation؛ fuzzy relational inequality؛ fuzzy compositions and fuzzy averaging operator
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