State Definition for Conflict Analysis with Four-valued Logic

Fuente: arXiv
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Auteur principal: Kato, Yukiko
Format: Preprint
Publié: 2022
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author Kato, Yukiko
author_facet Kato, Yukiko
contents We examined a four-valued logic method for state settings in conflict resolution models. Decision-making models of conflict resolution, such as game theory and graph model for conflict resolution (GMCR), assume the description of a state to be the outcome of a combination of strategies or the consequence of option selection by the decision-makers. However, for a framework to function as a decision-making system, unless a clear definition of the task of placing information out of an infinite world exists, logical consistency cannot be ensured, and thus, the function may be incomputable. The introduction of paraconsistent four-valued logic can prevent incorrect state setting and analysis with insufficient information and provide logical validity to analytical methods that vary the analysis resolution depending on the degree of coarseness of the available information. This study proposes a GMCR stability analysis with state configuration based on Belnap's four-valued logic.
format Preprint
id arxiv_https___arxiv_org_abs_2207_11733
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle State Definition for Conflict Analysis with Four-valued Logic
Kato, Yukiko
Artificial Intelligence
Computer Science and Game Theory
Logic in Computer Science
We examined a four-valued logic method for state settings in conflict resolution models. Decision-making models of conflict resolution, such as game theory and graph model for conflict resolution (GMCR), assume the description of a state to be the outcome of a combination of strategies or the consequence of option selection by the decision-makers. However, for a framework to function as a decision-making system, unless a clear definition of the task of placing information out of an infinite world exists, logical consistency cannot be ensured, and thus, the function may be incomputable. The introduction of paraconsistent four-valued logic can prevent incorrect state setting and analysis with insufficient information and provide logical validity to analytical methods that vary the analysis resolution depending on the degree of coarseness of the available information. This study proposes a GMCR stability analysis with state configuration based on Belnap's four-valued logic.
title State Definition for Conflict Analysis with Four-valued Logic
topic Artificial Intelligence
Computer Science and Game Theory
Logic in Computer Science
url https://arxiv.org/abs/2207.11733