• P-ISSN 0974-6846 E-ISSN 0974-5645

Indian Journal of Science and Technology


Indian Journal of Science and Technology

Year: 2023, Volume: 16, Issue: Special Issue 4, Pages: 29-36

Original Article

A Fully Linguistic Intuitionistic Fuzzy Artificial Neural Network Model for Decision Support Systems

Received Date:12 October 2023, Accepted Date:22 November 2023, Published Date:25 December 2023


Objectives: To propose a novel Linguistic Intuitionistic Fuzzy Artificial Neural Network (LIF-ANN) model based on Linguistic Intuitionistic Fuzzy Sets (LIFSs), which finds its applications in Decision Support Systems (DSS). Methods: In the process of the Neural Network, the Hebbian learning rule is utilized where the Linguistic Intuitionistic Fuzzy nature of the input data is preserved till the end of the process as a pioneering initiative in the field of ANN. Findings: The proposed LIF-ANN concentrates on the Multiple Attribute Group Decision Making problem approach in dealing with uncertain data. Also, a novel method of determining attribute weights using the Gaussian method is proposed where the weights are derived in the form of Linguistic Intuitionistic Fuzzy Numbers (LIFNs). The new LinIFOWA operator is also defined and some basic theorems are proved supporting the same. Numerical illustration is presented for the LIF-ANN method and comparisons are made with existing ranking methods. Novelty: Unlike most of the research done on Decision support with linguistic Intuitionistic Fuzzy sets, where the weight vector for ANN and the final decision variables become crisp variables, this paper concentrates on maintaining the Linguistic Intuitionistic Fuzzy format throughout and till the end of the problem with the weight vector and the final solution being preserved till the end of the process as Linguistic Intuitionistic Fuzzy Numbers.

Keywords: Linguistic Intuitionistic Fuzzy Sets (LIFSs), OWA Operator, Decision Support System (DSS), MAGDM, Artificial Neural Network


  1. Arslan SN, Yolcu OC. A hybrid sigma-pi neural network for combined intuitionistic fuzzy time series prediction model. Neural Computing and Applications. 2022;34(15):12895–12917. Available from: https://doi.org/10.1007/s00521-022-07138-z
  2. Atanassov K, Sotirov S, Angelova N. Intuitionistic Fuzzy Neural Networks with Interval Valued Intuitionistic Fuzzy Conditions. In: Castillo O, Melin P, Kacprzyk J., eds. Intuitionistic and Type-2 Fuzzy Logic Enhancements in Neural and Optimization Algorithms: Theory and Applications, Studies in Computational Intelligence. (Vol. 862, pp. 99-106) Springer. 2020.
  3. Atanassov K, Sotirov S, Pencheva T. Intuitionistic Fuzzy Deep Neural Network. Mathematics. 2023;11(3):1–14. Available from: https://doi.org/10.3390/math11030716
  4. Kuo RJ, Cheng WC. An intuitionistic fuzzy neural network with gaussian membership function. Journal of Intelligent & Fuzzy Systems. 2019;36(6):6731–6741. Available from: https://content.iospress.com/articles/journal-of-intelligent-and-fuzzy-systems/ifs18998
  5. Pham HV, Moore P, Cuong BC. Applied picture fuzzy sets with knowledge reasoning and linguistics in clinical decision support system. Neuroscience Informatics. 2022;2(4):1–15. Available from: https://doi.org/10.1016/j.neuri.2022.100109
  6. Wu H, Xu Z. Fuzzy Logic in Decision Support: Methods, Applications and Future Trends. International Journal of Computers Communications & Control. 2021;16(1):1–28. Available from: https://univagora.ro/jour/index.php/ijccc/article/view/4044/1617
  7. Liu J, Mai J, Li H, Huang B, Liu Y. On three perspectives for deriving three-way decision with linguistic intuitionistic fuzzy information. Information Sciences. 2022;588:350–380. Available from: https://doi.org/10.1016/j.ins.2021.12.072
  8. Liu Y, Wei G, Liu H, Xu L. Group decision making for internet public opinion emergency based upon linguistic intuitionistic fuzzy information. International Journal of Machine Learning and Cybernetics. 2022;13(3):579–594. Available from: https://doi.org/10.1007/s13042-020-01262-9
  9. Faizi S, Sałabun W, Nawaz S, Rehman AU, Wątróbski J. Best-Worst method and Hamacher aggregation operations for intuitionistic 2-tuple linguistic sets. Expert Systems with Applications. 2021;181:115088. Available from: https://doi.org/10.1016/j.eswa.2021.115088
  10. Qiyas M, Naeem M, Abdullah L, Riaz M, Khan N. Decision Support System Based on Complex Fractional Orthotriple Fuzzy 2-Tuple Linguistic Aggregation Operator. Symmetry. 2023;15(1):1–38. Available from: https://doi.org/10.3390/sym15010251
  11. Zhang H. Linguistic Intuitionistic Fuzzy Sets and Application in MAGDM. Journal of Applied Mathematics. 2014;2014:1–11. Available from: https://doi.org/10.1155/2014/432092
  12. Jeevaraj PSE, Shanmugavadivu P. Fuzzy logic and distance measure based adaptive fixed value impulse noise filter. Journal of Analysis. 2019;27:89–102. Available from: https://doi.org/10.1007/s41478-018-0105-6
  13. Roopkumar R, Vembu R. Actual metric representing a fuzzy metric. The Journal of Analysis. 2020;28(4):973–985. Available from: https://doi.org/10.1007/s41478-020-00228-y


© 2023 Leonishiya & Robinson. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)


Subscribe now for latest articles and news.