Fuzzy Conditional Inferences and Fuzzy Inferences with Fuzzy Quantifiers

Abstract

L. A. Zadeh and E. H. Mamdani proposed methods for the fuzzy reasonig in which the antecedent involves a fuzzy conditional inference If x is A then y is with A and B being fuzzy concepts. This paper points out that the consequences inferred by their methods do not always fit our intuitions, and suggests new methods which fit our intuitions under several criteria such as modus ponens and modus tollens. This paper also contains the discussion of the fuzzy inferences whose antecedents have fuzzy quantifiers such as most, some and many using our new methods for fuzzy conditional inferences.

Cite

Text

Mizumoto et al. "Fuzzy Conditional Inferences and Fuzzy Inferences with Fuzzy Quantifiers." International Joint Conference on Artificial Intelligence, 1979.

Markdown

[Mizumoto et al. "Fuzzy Conditional Inferences and Fuzzy Inferences with Fuzzy Quantifiers." International Joint Conference on Artificial Intelligence, 1979.](https://mlanthology.org/ijcai/1979/mizumoto1979ijcai-fuzzy/)

BibTeX

@inproceedings{mizumoto1979ijcai-fuzzy,
  title     = {{Fuzzy Conditional Inferences and Fuzzy Inferences with Fuzzy Quantifiers}},
  author    = {Mizumoto, Masaharu and Fukami, Satoru and Tanaka, Kokichi},
  booktitle = {International Joint Conference on Artificial Intelligence},
  year      = {1979},
  pages     = {589-591},
  url       = {https://mlanthology.org/ijcai/1979/mizumoto1979ijcai-fuzzy/}
}