In this paper, based on a new order and a new metric on the set of fuzzy numbers, we present the concepts of convexity of the fuzzy mappings and give characterization theorems for the convex fuzzy mappings and quasi-convex fuzzy mappings. Finally, we discuss the properties of convex fuzzy optimizations.
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Xidian Univ, Sch Math & Stat, Xian 710126, Peoples R China
Xian Univ Posts & Telecommun, Sch Sci, Xian 700121, Peoples R ChinaXidian Univ, Sch Math & Stat, Xian 710126, Peoples R China
Li, Lifeng
Liu, Sanyang
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Xidian Univ, Sch Math & Stat, Xian 710126, Peoples R ChinaXidian Univ, Sch Math & Stat, Xian 710126, Peoples R China
Liu, Sanyang
Zhang, Jianke
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Xian Univ Posts & Telecommun, Sch Sci, Xian 700121, Peoples R ChinaXidian Univ, Sch Math & Stat, Xian 710126, Peoples R China
机构:
Guru Ghasidas Vishwavidyalaya, Dept Math, Bilaspur 495009, Chhattisgarh, IndiaGuru Ghasidas Vishwavidyalaya, Dept Math, Bilaspur 495009, Chhattisgarh, India
Gopal, Dhananjay
Martinez-Moreno, Juan
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Univ Jaen, Dept Math, Campus Las Lagunillas S-N, Jaen 23071, SpainGuru Ghasidas Vishwavidyalaya, Dept Math, Bilaspur 495009, Chhattisgarh, India
Martinez-Moreno, Juan
Rodriguez-Lopez, Rosana
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Univ Santiago de Compostela, Dept Stat Math Anal & Optimizat, La Coruna, SpainGuru Ghasidas Vishwavidyalaya, Dept Math, Bilaspur 495009, Chhattisgarh, India