JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (8): 22-28.doi: 10.6040/j.issn.1671-9352.0.2015.634

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Inequalities of Hermite-Hadamard and Sandaor for fuzzy integral

LU Wei, SONG Xiao-qiu*, HUANG Lei-lei   

  1. College of Science, China University of Mining and Technology, Xuzhou 221116, Jiangsu, China
  • Received:2015-12-29 Online:2016-08-20 Published:2016-08-08

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Abstract: On the basis of the definitions of r-convex function and Orlicz-convex function, Sandors type inequality for fuzzy integrals upon r-convex function is proved. Hermite-Hadamard type inequality for fuzzy integrals based on Orlicz-convex function is investigated. Some examples are given to illustrate our theorems.

Key words: Orlicz-convex function, Sandors type inequality, r-convex function, Hermite-Hadamard type inequality

CLC Number: 

  • O159
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