Modelling socio-political competition

Willem Conradie*, Alessandra Palmigiano, Claudette Robinson, Apostolos Tzimoulis, Nachoem Wijnberg

*Corresponding author for this work

Research output: Contribution to JournalArticleAcademicpeer-review

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Abstract

This paper continues the investigation of the logic of competing theories (be they scientific, social, political etc.) initiated in [4]. We introduce a many-valued, multi-type modal language which we endow with relational semantics based on enriched reflexive graphs, inspired by Ploščica's representation of general lattices. We axiomatize the resulting many-valued, non-distributive modal logic of these structures and prove a completeness theorem. We illustrate the application of this logic through a case study in which we model competition among interacting political promises and social demands within an arena of political parties social groups.

Original languageEnglish
Pages (from-to)115-141
Number of pages27
JournalFuzzy Sets and Systems
Volume407
Early online date14 Feb 2020
DOIs
Publication statusPublished - 1 Mar 2021

Keywords

  • Competing theories
  • Graph-based semantics
  • Many-valued modal logic
  • Non distributive modal logic
  • Socio-political competition

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