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Application of Bipolar Intuitionistic Fuzzy Soft Sets in Decision Making Problem

Author

Listed:
  • Chiranjibe Jana

    (Department of Applied Mathematics, Vidyasagar University, Midnapore, India)

  • Madhumangal Pal

    (Department of Applied Mathematics, Vidyasagar University, Midnapore, India)

Abstract

This article describes how recently, a paper by D. Ezhilmaran and K. Sankar called Morphism of bipolar intuitionistic fuzzy graphs, has introduced bipolar intuitionistic fuzzy sets and morphism of bipolar intuitionistic fuzzy graphs. By using this concept, the authors of this article have combined a bipolar intuitionistic fuzzy set and a soft set. They introduce the notion of bipolar intuitionistic fuzzy soft set and study their basic properties. Also, presented in this article are the basic operations on bipolar intuitionistic fuzzy soft sets, extended unions, and the intersection of two bipolar intuitionistic fuzzy soft sets. An application of bipolar intuitionistic fuzzy soft set provides into a decision-making problem and a general algorithm to solve this decision making problem.

Suggested Citation

  • Chiranjibe Jana & Madhumangal Pal, 2018. "Application of Bipolar Intuitionistic Fuzzy Soft Sets in Decision Making Problem," International Journal of Fuzzy System Applications (IJFSA), IGI Global, vol. 7(3), pages 32-55, July.
    • Handle: RePEc:igg:jfsa00:v:7:y:2018:i:3:p:32-55
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    Cited by:

    1. Manivannan Balamurugan & Nazek Alessa & Karuppusamy Loganathan & M. Sudheer Kumar, 2023. "Bipolar Intuitionistic Fuzzy Soft Ideals of BCK/BCI-Algebras and Its Applications in Decision-Making," Mathematics, MDPI, vol. 11(21), pages 1-18, October.
    2. Tadeusz Trzaskalik, 2023. "Vectors of indicators and pointer function in the Multistage Bipolar Method," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 31(3), pages 791-816, September.

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