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Extending Borda Rule Under q-rung Orthopair Fuzzy Set for Multi-attribute Group Decision-Making

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Book cover Intelligent Systems Design and Applications (ISDA 2018 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 940))

Abstract

With a view of generalizing intuitionistic fuzzy set (IFS), q-rung orthopair fuzzy set (q-ROFS) was developed. The q-ROFS mitigates the limitation of IFS in terms of data representation and provides a more flexible environment for decision makers (DMs) to easily express their preference and non-preference values. Motivated by the power of q-ROFS, in this paper efforts are made to propose q-rung orthopair fuzzy preference relations (q-ROFPRs). Further, a new operator called simple q-rung orthopair fuzzy weighted geometry (Sq-ROFWG) is proposed for aggregating preferences. Then, we extend the popular Borda rule to q-ROFPR for sensible ranking of alternatives. Also, the Borda rule is investigated from both broad and narrow context. The practicality and usefulness of the proposed method is demonstrated by using a cloud vendor (CV) selection example. Finally, the strength and weakness of the proposal is discussed.

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Acknowledgment

Author(s) are thankful to University Grants Commission (UGC) India (F./2015-17/RGNF-2015-17-TAM-83) and Department of Science & Technology (DST) India (SR/FST/ETI-349/2013) for their financial support.

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Correspondence to R. Krishankumar .

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Krishankumar, R., Shyam, S., Nethra, R.P., Srivatsa, S., Ravichandran, K.S. (2020). Extending Borda Rule Under q-rung Orthopair Fuzzy Set for Multi-attribute Group Decision-Making. In: Abraham, A., Cherukuri, A.K., Melin, P., Gandhi, N. (eds) Intelligent Systems Design and Applications. ISDA 2018 2018. Advances in Intelligent Systems and Computing, vol 940. Springer, Cham. https://doi.org/10.1007/978-3-030-16657-1_104

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