Back-and-forth systems for fuzzy first-order models

Dellunde Pilar; Garcia-Cerdana Angel; Noguera Carles

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Back-and-forth systems for fuzzy first-order models

机译：模糊一阶模型的来回系统

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摘要

This paper continues the study of model theory for fuzzy logics by addressing the fundamental issue of classifying models according to their first-order theory. Three different definitions of elementary equivalence for fuzzy first-order models are introduced and separated by suitable counterexamples. We propose several back-and-forth conditions, based both on classical two-sorted structures and on non-classical structures, that are useful to obtain elementary equivalence in particular cases as we illustrate with several examples. (C) 2018 Elsevier B.V. All rights reserved.

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来源
《Fuzzy sets and systems》 |2018年第15期|83-98|共16页
作者
Dellunde Pilar; Garcia-Cerdana Angel; Noguera Carles;
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作者单位

Artificial Intelligence Res Inst IIIA CSIC, Campus Bellaterra, E-08193 Bellaterra, Catalonia, Spain;

Barcelona Grad Sch Math, Campus Bellaterra,Edifici C, E-08193 Bellaterra, Catalonia, Spain;

Czech Acad Sci, Inst Informat Theory & Automat, Vodarenskou Vezi 4, Prague 18200, Czech Republic;

Univ Autonoma Barcelona, Philosophy Dept, Campus Bellaterra, E-08193 Bellaterra, Catalonia, Spain;

Univ Pompeu Fabra, Informat & Commun Technol Dept, Tanger 122-140, E-08018 Barcelona, Catalonia, Spain;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Mathematical fuzzy logic; First-order fuzzy logics; Non-classical logics; Elementary equivalence; Back-and-forth systems; Model theory;

机译：数学模糊逻辑;一阶模糊逻辑;非经典逻辑;基本等价;来回系统;模型理论;

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Back-and-forth systems for fuzzy first-order models

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