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FUZZY ECONOMIC REVIEW

ISSN (print) 1136-0593 · ISSN (online) 2445-4192

NEUTROSOPHIC CONSENSUS REACHING WITH UNKNOWN WEIGHTS

Mohamed El Alaoui. Laboratory of Research in Engineering Sciences and Innovation, National School of Applied Sciences – ENSA Beni-Mellal, Sultan Moulay Slimane University - USMS, Beni-Mellal, Morocco. E-mail: mohamedelalaoui208@gmail.com

Abstract

Neutrosophic sets gain increasing attention since they permit capturing experts’ opinions regarding uncertainty and indeterminacy. However, few authors tackled the consensus-achieving process in the Neutrosophic context. This work proposes an iterative algorithm to attain consensus from opinions expressed by single-valued neutrosophic numbers with unknown weights. The objective is to minimize the sum of weighted incoherencies between the derived consensus and the expressed evaluations. This work also examines different combinations of distance aggregation operators and starting points to determine their impacts on the algorithm's speed and convergence. Furthermore, it proposes two new aggregation operators that avoid the Veto behavior.

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