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Enhanced Decision Making Method with Two-Tuple Linguistic Bipolar Fuzzy Sets

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Multi-criteria Decision Making Methods with Bipolar Fuzzy Sets

Part of the book series: Forum for Interdisciplinary Mathematics ((FFIM))

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Abstract

This chapter presents 2-tuple linguistic bipolar fuzzy sets, a new strategy for the modelization uncertainty that incorporates a 2-tuple linguistic term into bipolar fuzzy sets. This model will enable us to provide new insights in decision making. Their operational rules will be used to define the 2-tuple linguistic bipolar fuzzy weighted averaging/geometric operators, which let us combine 2-tuple linguistic bipolar fuzzy numbers. To examine the impact of the correlation between choice variables and decision results, the Heronian mean operator is incorporated into the 2-tuple linguistic bipolar fuzzy environment. The generalized 2-tuple linguistic bipolar fuzzy Heronian mean operator and generalized 2-tuple linguistic bipolar fuzzy weighted Heronian mean operator are introduced first, and their properties are then discussed.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, Lahore, Pakistan

    Muhammad Akram &  Shumaiza

  2. Faculty of Economics and Business, University of Salamanca, Salamanca, Spain

    José Carlos Rodríguez Alcantud

Authors
  1. Muhammad Akram
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  2. Shumaiza
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  3. José Carlos Rodríguez Alcantud
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Correspondence to Muhammad Akram .

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Akram, M., Shumaiza, Rodríguez Alcantud, J.C. (2023). Enhanced Decision Making Method with Two-Tuple Linguistic Bipolar Fuzzy Sets. In: Multi-criteria Decision Making Methods with Bipolar Fuzzy Sets. Forum for Interdisciplinary Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-99-0569-0_7

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