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Signed distance-based closeness coefficients approach for solving inverse non-linear programming models for multiple criteria group decision-making using interval Type-2 pythagorean fuzzy numbers

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Abstract

Pythagorean fuzzy sets (PFS) are extensively used to deal with ambiguity, vagueness and imprecision in real-world applications. In this article, interval type-2 Pythagorean fuzzy sets (IT2PFS) have been introduced that noticeably increases their flexibility as they are more effective in dealing with uncertainties. IT2PFS provide us with some extra degrees of freedom to characterize the vagueness and fuzziness of existent world. The novelty of the proposed scheme is to initiate an efficient approach for managing multiple criteria group decision-making (MCGDM) problems with partially known criterion weights modeled as interval type-2 trapezoidal Pythagorean fuzzy numbers (IT2TrPFN). Hybrid averaging (HA) operation based on weighted averaging (WA) and ordered weighted averaging (OWA) operators areemployed for constructing a collective decision environment by involving multiple decision-makers. Afterwards, an integrated optimization model based on a novel signed distance-based closeness coefficients (SDBCC) approach is established to approximate the importance weights of criteria and priority ranking of alternatives. The proposed scheme is employed for the selection of new site for building construction to demonstrate its feasibility and practicality. Moreover, a comparative investigation with some well-known approaches is conducted to verify the efficiency and usefulness of the proposed method

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Authors and Affiliations

  1. Department of Basic Sciences, University of Engineering and Technology, Taxila, Pakistan

    Muhammad Touqeer & Rimsha Umer

  2. Institute of IR 4.0, The National University of Malaysia, 43600, Bangi, Selangor, Malaysia

    Ali Ahmadian

  3. Department of Mathematics, Near East University, Nicosia, TRNC, Mersin 10, Turkey

    Ali Ahmadian

  4. Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey

    Soheil Salahshour

  5. Department of Mathematics and Statistics, St. Francis Xavier University, Antigonish, NS, Canada

    Mehdi Salimi

Authors
  1. Muhammad Touqeer
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  2. Rimsha Umer
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  3. Ali Ahmadian
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  4. Soheil Salahshour
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  5. Mehdi Salimi
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Correspondence to Ali Ahmadian or Mehdi Salimi.

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Touqeer, M., Umer, R., Ahmadian, A. et al. Signed distance-based closeness coefficients approach for solving inverse non-linear programming models for multiple criteria group decision-making using interval Type-2 pythagorean fuzzy numbers. Granul. Comput. 7, 881–901 (2022). https://doi.org/10.1007/s41066-021-00301-2

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