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A New Ranking Approach for Interval Valued Intuitionistic Fuzzy Sets and its Application in Decision Making

Author

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  • Pranjal Talukdar

    (Dibrugarh University, Dibrugarh, India)

  • Palash Dutta

    (Department of Mathematics, Dibrugarh University, Dibrugarh, India)

Abstract

In this article, a pair of primal-dual problems of linear programming are presented under a fuzzy environment. The appropriate duality results are established using aspiration level approach. This study uses the hyperbolic tangent membership functions to represent fulfilment of the decision maker's degree of satisfaction in contrast to available literature which relied on linear membership functions. The solutions obtained from the use of hyperbolic tangent membership functions are elicited through a comparison of solutions obtained by employing linear membership functions. The demonstration of approach and verification of results is presented through numerical examples.

Suggested Citation

  • Pranjal Talukdar & Palash Dutta, 2019. "A New Ranking Approach for Interval Valued Intuitionistic Fuzzy Sets and its Application in Decision Making," International Journal of Fuzzy System Applications (IJFSA), IGI Global, vol. 8(2), pages 89-104, April.
    • Handle: RePEc:igg:jfsa00:v:8:y:2019:i:2:p:89-104
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