Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Non-Commutative Logic for Collective Decision-Making with Perception Bias

Version 1 : Received: 27 April 2023 / Approved: 28 April 2023 / Online: 28 April 2023 (03:32:47 CEST)

A peer-reviewed article of this Preprint also exists.

Kagan, E.; Novoselsky, A.; Ramon, D.; Rybalov, A. Non-Commutative Logic for Collective Decision-Making with Perception Bias. Robotics 2023, 12, 76. Kagan, E.; Novoselsky, A.; Ramon, D.; Rybalov, A. Non-Commutative Logic for Collective Decision-Making with Perception Bias. Robotics 2023, 12, 76.

Abstract

In the paper we suggest an implementation of the non-commutative logic and apply its operators for decision-making in the group of autonomous agents. The suggested operators extend the uninorm and absorbing norm aggregators and use an additional asymmetry parameter that defines the “level of non-commutativity”. The value of this parameter is specified using the perception bias of humans measured in the experiments. The suggested operators and decision-making method are illustrated by simulated behavior of mobile robots in the group.

Keywords

mobile robots; swarm dynamics; multivalued logic; non-commutative algebra; decision-making; uncertainty; irrational decisions

Subject

Computer Science and Mathematics, Robotics

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