کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
390597 661274 2009 30 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Generalized convex fuzzy mappings and fuzzy variational-like inequality
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Generalized convex fuzzy mappings and fuzzy variational-like inequality
چکیده انگلیسی

In this paper, we introduce the concepts of some generalized convex fuzzy mappings from Rn to the set of fuzzy numbers. Under the condition of upper or lower semicontinuity, a new criterion be obtained for the existence of a fuzzy preinvex mapping: a fuzzy preinvex mapping can be achieved when the invex subset of Rn satisfies certain conditions. The relations between generalized convex fuzzy mappings are discussed, and some properties are obtained that relate the concepts of fuzzy pseudoinvex and fuzzy prequasiinvex mapping, fuzzy invex and fuzzy preinvex mapping, fuzzy preinvex and fuzzy prequasiinvex mapping. We also discuss the relationship between the fuzzy variational-like inequality (the fuzzy weak variational-like inequality) and fuzzy optimization problems, and an application example of a fuzzy variational-like inequality: the fuzzy variational-like inequality representation of a fuzzy transportation equilibrium problem.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 160, Issue 11, 1 June 2009, Pages 1590-1619