A Class of Fuzzy Variational Inequality Based on Monotonicity of Fuzzy Mappings. (11th November 2013)

• Record Type: Journal Article
• Authors: Wu, Zezhong; Xu, Jiuping
• Other Names: Perera Kanishka Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2013(2013)
• Publication Date: 2013-11-11
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2013/854751
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : Invex monotonicity and pseudoinvex monotonicity of fuzzy mappings are introduced in this paper, and relations are discussed between invex monotonicity (pseudoinvex monotonicity) and invexity (pseudoinvexity) of fuzzy mappings. The existence of a solution to the fuzzy variational-like inequality is discussed, and the existence theorem can be achieved. Furthermore, some extended properties of the fuzzy variational-like inequality are researched. Finally, method of solution is discussed based on genetic algorithm.