کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9662383 698663 2005 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Duality theory in fuzzy mathematical programming problems with fuzzy coefficients
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Duality theory in fuzzy mathematical programming problems with fuzzy coefficients
چکیده انگلیسی
In this paper, the notions of subgradient, subdifferential, and differential with respect to convex fuzzy mappings are investigated, which provides the basis for the fuzzy extremum problem theory. We consider the problems of minimizing or maximizing a convex fuzzy mapping over a convex set and develop the necessary and/or sufficient optimality conditions. Furthermore, the concept of saddle-points and minimax theorems under fuzzy environment is discussed. The results obtained are used to formulate the Lagrangian dual of fuzzy programming. Under certain fuzzy convexity assumptions, KKT conditions for fuzzy programming are derived, and the “perturbed” convex fuzzy programming is considered. Finally, these results are applied to fuzzy linear programming and fuzzy quadratic programming.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 49, Issues 11–12, June 2005, Pages 1709-1730
نویسندگان
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