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Posynomial Geometric Programming with Intuitionistic Fuzzy Coefficients

Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 367)

Abstract

In this paper, we introduce posynomial geometric programming problems with intuitionistic fuzzy numbers, it is formulated in intuitionistic fuzzy environment introducing intuitionistic fuzzinees in objective and constraint coefficients. This paper presents an approach based on \((\alpha ,\beta )\)-cuts of intuitionistic fuzzy numbers to solve posynomial geometric programming problems with the data as triangular and trapezoidal intuitionistic fuzzy numbers.

Keywords

Intuitionistic fuzzy set Triangular and trapezoidal intuitionistic fuzzy numbers Posynomial geometric programming \((\alpha , \beta )\)-cuts and interval-valued function 

Notes

Acknowledgments

Thanks to the support by National Natural Science Foundation of China (No. 70771030 and No. 70271047) and Project Science Foundation of Guangzhou University.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.School of Mathematics and Information Science, Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong, Higher Education InstitutesGuangzhou UniversityGuangzhouChina
  2. 2.Guangzhou UniversityGuangzhouChina

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