文章基本信息

标题：First-Order Mathematical Fuzzy Logic with Hedges
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作者：Van-Hung Le
期刊名称：Computer Science & Information Technology
电子版ISSN：2231-5403
出版年度：2016
卷号：6
期号：5
页码：85-96
出版社：Academy & Industry Research Collaboration Center (AIRCC)
摘要：In this paper, we consider first-order mathematical fuzzy logic expanded by many hedges. Thisis based on the fact that, in the real world, many hedges can be used simultaneously, and somehedge modifies truth (or meaning of sentences) more than another hedge. Moreover, each hedgemay or may not have a dual one. We expand two axiomatizations for propositionalmathematical fuzzy logic with many hedges to the first-order level and prove a number ofcompleteness results for the resulting logics. We also consider logics with many hedges basedon -core fuzzy logics.
关键词：Mathematical Fuzzy Logic; First-Order Logic; Hedge; Strong Completeness; Standard;Completeness