Probabilistic Intuitionistic Fuzzy Set Based Intuitionistic Fuzzy Time Series Forecasting Method

  • Krishna Kumar GuptaEmail author
  • Sanjay Kumar
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 308)


IFS can handle non-stochastic non-determinism that arises due to single membership function for both membership and non-membership grade. PIFS may handle non-determinacy because of both stochastic and non-stochastic reasons. In this study, we propose PIFS based FTS forecasting model to control the both kind of non-determinism along with non-stochastic uncertainty in TS forecasting. The developed model describes issue of non-determinism which rises due to both randomness as well as linguistic representation of TS data. An aggregation operator to aggregate the PIFS into IFS is also used in this study. The presented method has been simulated using financial TS data of TAIEX to confirm it’s outperformance using RMSE.


Probabilistic intuitionistic fuzzy set Intuitionistic fuzzy logical relation Stochastic non-determinism Non-stochastic non-determinism Forecasting 


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© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.Department of Mathematics, Statistics and Computer ScienceG. B. Pant University of Agriculture and TechnologyPantnagarIndia

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