کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
389483 661147 2013 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Increasing continuous operations in fuzzy max-⁎ equations and inequalities
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Increasing continuous operations in fuzzy max-⁎ equations and inequalities
چکیده انگلیسی

In this paper, solutions of fuzzy systems of equations A○x=b and systems of inequalities A○x≥b, A○x≤b are considered, where A∈[0,1]m×n, b∈[0,1]m, ○ stands for max-⁎ product and x∈[0,1]n is an unknown vector. In this paper the families of all solutions are described. During the last thirty years this problem was considered by many authors. Our goal is to achieve the most general assumptions for which sets of solutions' systems of equations and inequalities are the union of lattice intervals. Especially, a method of determination of all minimal solutions in such systems is indicated. As a result, the families of all solutions of fuzzy systems of inequalities A○x≤b and A○x≥b are described. As the main part of these results, the method of determination of the family of all minimal solutions in max-⁎ system of equations with an increasing operation ⁎, continuous on the second argument is presented.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 232, 1 December 2013, Pages 120-133