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Convexity Analysis on Intuitionistic Fuzzy Mappings
直觉模糊映射的凸分析

Keywords: Intuitionistic fuzzy sets,Intuitionistic fuzzy,Convex analysis,Ordering relationship
直觉模糊集
,直觉模糊映射,凸分析,序关系

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Abstract:

We introduced the concepts of convexity,concavity,quasi-convexity,quasi-concavity,upper semicontinuity,lower semicontinuity and positive homogeneity for intuitionistic fuzzy mappings.A new partial ordering was employed to investigate the properties of convex intuitionistic fuzzy mappings,two characterizations for convex intuitionistic fuzzy mappings and two characterizations for concave fuzzy intuitionistic mappings were established.It discussed the relationship between convexity and quasi-convexity for int...

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