Bipolar Fuzzy Soft Graphs

  • Muhammad AkramEmail author
  • Fariha Zafar
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 380)


In this chapter, we present a novel frame work for handling bipolar fuzzy soft information by combining the theory of bipolar fuzzy soft sets with graphs. We present certain notions of bipolar fuzzy soft graphs. We investigate some of their properties. We discuss several applications of the bipolar fuzzy soft graphs in multiple criteria decision-making problems. We also develop algorithms in each multiple criteria decision-making problem. This chapter is based on [18].

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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of the PunjabLahorePakistan

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