A logical framework for fuzzy quantifiers part I: Basic properties

San Min Wang, Bin Zhao, Peng Wang

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

2 Scopus citations


Fuzzy quantifiers have important applications in a great variety of fields such as database querying, data mining and knowledge discovering, inductive learning and so on. Recently, M.S. Ying introduces a novel fuzzy framework for linguistic quantifiers which are modeled by Sugeno integrals. Essentially, the conjunction and disjunction in Ying's framework are interpreted as the "min" and "max" operations, which restricts the application of this theory in some sense. In this paper, we extended Ying's framework by interpreting the conjunction and disjunction as t-norm and t-conorm respectively. And some elegant logical results for our framework have been obtained.

Original languageEnglish
Title of host publicationTheoretical Advances and Applications of Fuzzy Logic and Soft Computing
EditorsOscar Castillo, Patricia Melin, Oscar Montiel Ross, Roberto Sepulveda Cruz, Witold Pedrycz, Janusz Kacprzyk
Number of pages10
StatePublished - 2007
Externally publishedYes

Publication series

NameAdvances in Soft Computing
ISSN (Print)1615-3871
ISSN (Electronic)1860-0794


  • Fuzzy logic
  • Fuzzy quantifier
  • MTL
  • Sugeno's integral


Dive into the research topics of 'A logical framework for fuzzy quantifiers part I: Basic properties'. Together they form a unique fingerprint.

Cite this