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An approach for 2-tuple linguistic q-rung orthopair fuzzy MAGDM for the evaluation of historical sites with power Heronian mean

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Abstract

A historic building is typically defined as a structure that possesses historical significance, meaning that it maintains a tangible connection to past events, thereby establishing a meaningful link between contemporary individuals and historical occurrences. The primary objective of this article is to investigate and analyze the most exceptional historical site worldwide for a visit. Our research provides a strategy framework to evaluate and select the best historical site worldwide to meet the visiting needs of individuals. The 2-tuple linguistic q-rung orthopair fuzzy set (2TLq-ROFS) is a novel type of fuzzy set that can provide decision makers more flexibility to express their preferences. In order to cope with multi-attribute group decision-making (MAGDM) problems, the 2TLq-ROF aggregation operators are efficient in merging the individual preferences of the decision makers into a collective one. We combine the merits of the power average (PA) and the power geometric (PJ) operators with the Heronian mean (HM) operator to build some new aggregation operators by taking into account the impact of extreme data on decision outcomes. Using the proposed aggregation operators, we also develop an innovative MAGDM approach for aggregating the 2TLq-ROF information. Finally, an illustrative example for the selection of the best historical site worldwide is used to demonstrate the applicability of the established methodology. The effectiveness and superiority of the proposed approach are demonstrated through parameter analysis of parameters q, \(\kappa\), and \(\varepsilon\) , and further comparative analysis with existing aggregation operators is done.

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Authors and Affiliations

  1. Department of Mathematics, Division of Science and Technology, University of Education, Lahore, Pakistan

    Sumera Naz, Aqsa Shafiq & Maheen Abbas

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  1. Sumera Naz
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  2. Aqsa Shafiq
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Correspondence to Sumera Naz.

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Naz, S., Shafiq, A. & Abbas, M. An approach for 2-tuple linguistic q-rung orthopair fuzzy MAGDM for the evaluation of historical sites with power Heronian mean. J Supercomput 80, 6435–6485 (2024). https://doi.org/10.1007/s11227-023-05678-2

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