Linear optimization problem subjected to fuzzy relational equations and fuzzy constraints
محل انتشار: مجله سیستم های فازی، دوره: 20، شماره: 2
سال انتشار: 1402
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 253
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شناسه ملی سند علمی:
JR_IJFS-20-2_002
تاریخ نمایه سازی: 20 فروردین 1402
چکیده مقاله Linear optimization problem subjected to fuzzy relational equations and fuzzy constraints
In this paper, we introduce a new optimization problem with respect to a generalized form of fuzzy relational equations (FRE) in which fuzzy equality replaces ordinary equality in the constraints (FRE-FC). Fuzzy constraints enable us to attain optimal points (called super-optima in this paper) that are better solutions than those resulted from the resolution of the similar problems with ordinary equality constraints. Some structural properties of the FRE-FC problems are studied and a new formulation is presented in which the fuzzy constraints (equations) are precisely modeled. Subsequently, a new PSO-based algorithm is proposed to solve the FRE-FC problems defined by arbitrary continuous t-norms. The proposed algorithm is tested with different test problems generated by ten well-known continuous t-norms used in the literature. Moreover, the generated solutions for these problems, are also compared with some well-known meta-heuristic methods which have been applied to many practical optimization problems. It is shown that the optimal intensity of electromagnetic radiation problem can be formed as a special case of FRE-FC problems in which fuzzy composition is defied by max-product composition.
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نویسندگان مقاله Linear optimization problem subjected to fuzzy relational equations and fuzzy constraints
A. Ghodousian
School of Engineering Science, College of Engineering, University of Tehran, Tehran, Iran
F. S. Yousefi
School of Engineering Science, College of Engineering, University of Tehran, Tehran, Iran