---
title: "Fuzzy Conditional Inferences and Fuzzy Inferences with Fuzzy Quantifiers"
authors:
  - "Masaharu Mizumoto"
  - "Satoru Fukami"
  - "Kokichi Tanaka"
doi: ""
url: "https://ijcai.org/proceedings/1979/129"
pdf: "https://ijcai.org/proceedings/1979/0129.pdf"
venue: "Proceedings of the Sixth International Joint Conference on Artificial Intelligence"
year: 1979
pages: ""
track: ""
keywords:
---

# Fuzzy Conditional Inferences and Fuzzy Inferences with Fuzzy Quantifiers

Masaharu Mizumoto, Satoru Fukami, Kokichi Tanaka

*Proceedings of the Sixth International Joint Conference on Artificial Intelligence*.

## Abstract

L.A. Zadeh and E.II. 11amdani proposed methods for the fuzzy reasoning in which the antecedent involves a fuzzy conditional inference "If x is A then y is B" 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 some 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.