Multi-dimensional fuzzy reasoning
Fuzzy Sets and SystemsPublished 1 January 1983
Michio Sugeno, Tomohiro Takagi
Citations121
SJR quartileQ1
SJR score0.75
SNIP1.25
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TL;DR
This paper suggests a method of multi-dimensional fuzzy reasoning concerned with both modus ponens and modus tollens, and discusses an example to show how the method works.
Abstract
This paper suggests a method of multi-dimensional fuzzy reasoning concerned with both modus ponens and modus tollens. It also discusses an example to show how the method works.
Keywords
Computer ScienceDecision Sciences
SyntheseFuzzy logic and approximate reasoning
1,598 Citations1975Lotfi A. Zadeh
F fuzzy logic is used in this paper to describe an imprecise logical system, FL, in which the truth-values are fuzzy subsets of the unit interval with linguistic labels such as true, false, not true, very true, quite true, not very true and not very false, etc.
Fuzzy Sets and SystemsSome considerations on fuzzy conditional inference
192 Citations1980Satoru Fukami, M. Mizumoto +1 more
It is pointed out that the consequence inferred by the methods suggested does not always fit intuitions and improved methods are suggested which fit the authors' intuitions under several criteria.
International Journal of Man-Machine StudiesA model of fuzzy reasoning through multi-valued logic and set theory
62 Citations1979J.F. Baldwin, BW Pilsworth
Various interpretations of conditional propositions are considered, which include relational definitions using Łukasiewicz logical implication rule and Zadeh's Maximin rule, and theorems for reducing dimensionality are presented.
International Journal of Man-Machine StudiesFuzzy logic and approximate reasoning for mixed input arguments
38 Citations1979J.F. Baldwin
This paper extends the method of approximate reasoning based upon fuzzy logic as proposed by Baldwin (1978) to arguments of a more complex nature, namely those with mixed inputs.