A Class of Fuzzy Variational Inequality Based on Monotonicity of Fuzzy Mappings | Zendy

Zezhong Wu | Zendy; Jiuping Xu | Zendy

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A Class of Fuzzy Variational Inequality Based on Monotonicity of Fuzzy Mappings

Author(s) -

Zezhong Wu,

Jiuping Xu

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/854751

Subject(s) - monotonic function , mathematics , fuzzy logic , variational inequality , class (philosophy) , fuzzy measure theory , inequality , pure mathematics , mathematical optimization , fuzzy number , fuzzy set , mathematical analysis , computer science , artificial intelligence

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

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