کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
390870 661311 2008 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Resolution of matrix equations over arbitrary Brouwerian lattices
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Resolution of matrix equations over arbitrary Brouwerian lattices
چکیده انگلیسی

This paper studies the problem of solving a matrix equation over an arbitrary (not necessarily complete) Brouwerian lattice. A criterion for the solvability and a method for finding all solutions of the equation are obtained. Over an arbitrary self-dual Brouwerian lattice, an equivalent condition for the unique solution, a necessary and sufficient condition for the minimal solution and a procedure for constructing minimal solutions less than or equal to any given solution of the equation are presented. It is shown that the results of the paper can be applied to the determination of generalized inverses of a matrix over an arbitrary Brouwerian lattice.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 159, Issue 1, 1 January 2008, Pages 40-46