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Role of Distance Metric in Goal Geometric Programming Problem (G^2 P^2) Under Imprecise Environment

Author

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  • Payel Ghosh

    (Raidighi College, West Bengal, India)

  • Tapan Kumar Roy

    (IIEST, Shibpur, Howrah, India)

Abstract

The objective of this article is to tie a knot between distance measure and fuzzy and intuitionistic fuzzy optimization through goal programming. Firstly, a distance measure for an intuitionistic fuzzy number is developed, and then it is implemented into an intuitionistic fuzzy nonlinear goal programming. Then using some conditions, the distance measure of intuitionistic fuzzy number is converted into distance measure of fuzzy number and a comparative study using a numerical example is shown for highest applicability of distance measure based intuitionistic fuzzy goal programming than distance measure based fuzzy goal programming.

Suggested Citation

  • Payel Ghosh & Tapan Kumar Roy, 2019. "Role of Distance Metric in Goal Geometric Programming Problem (G^2 P^2) Under Imprecise Environment," International Journal of Fuzzy System Applications (IJFSA), IGI Global, vol. 8(1), pages 65-82, January.
    • Handle: RePEc:igg:jfsa00:v:8:y:2019:i:1:p:65-82
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