# Fuzzy logic and approximate reasoning

```@article{Zadeh2004FuzzyLA,
title={Fuzzy logic and approximate reasoning},
journal={Synthese},
year={2004},
volume={30},
pages={407-428}
}```
• Published 1 September 1975
• Computer Science, Philosophy
• Synthese
The term 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. The truth-value set, ℐ, of FL is assumed to be generated by a context-free grammar, with a semantic rule providing a means of computing the meaning of each linguistic truth-value in ℐ as a fuzzy subset of [0, 1].Since ℐ is not…
983 Citations
Fuzzy Logic and Approximate Reasoning
• Computer Science
• 2012
The idea of approximate reasoning and fuzzy logic to find the approximate value of reaction rate with the given conditions by means of the extended modus ponens law is developed.
Fuzzy linguistic logic programming and its applications
• Computer Science, Linguistics
Theory and Practice of Logic Programming
• 2009
F fuzzy linguistic logic programming is introduced, which is a combination of fuzzy logic programming, introduced by P. Vojtáš, and hedge algebras in order to facilitate the representation and reasoning on human knowledge expressed in natural languages.
Approximate Reasoning to Unify Norm-based and Implication-based Fuzzy Control
In Gerla [2000] a fuzzy logic in narrow sense is proposed as a theoretical framework for triangular norm based fuzzy control. In this note we show that the resulting theory is also able to express
Chapter 16 Fuzzy Logic in Computer Science
• Philosophy, Computer Science
• 2011
To understand fuzzy logic, it is essential to recall the basic motivation that led to its emergence, and classical logic is appropriate for a formalization of reasoning that involves bivalent propositions such as “5 is a prime number”, “age of Jan is 9”.
Is there a need for fuzzy logic?
• Computer Science
NAFIPS 2008 - 2008 Annual Meeting of the North American Fuzzy Information Processing Society
• 2008
Is there a need for fuzzy logic
In this paper, fuzzy logic is viewed in a nonstandard perspective and the cornerstones of fuzzy logic-and its principal distinguishing features-are: graduation, granulation, precisiation and the concept of a generalized constraint.
Inverted Fuzzy Implications in Approximate Reasoning
• Computer Science
CS&P
• 2014
This paper proposes a new method for choosing fuzzy implications, which allows to compare two fuzzy implications and chooses the fuzzy implication which has the greatest or the smallest truth value of the implication consequent or which has greater or smaller truth value than another implication.
Fuzzy Logic, Knowledge and Natural Language
The importance and usefulness of many-valued logic in science will be showed by two examples: i) the unforeseeability in biology (theory of Prigogine), ii) the birth of quantum mechanics and the employment of probabilistic logic in the interpretation of the wave-function.
An analysis of using triangular truth function in fuzzy reasoning based on a fuzzy truth value
An analysis of fuzzy reasoning based on a fuzzy truth value, presented by Baldwin, which would preserve one of the biggest advantage, which is the fuzzy relation, in form of the truth function, between a fact and a premise, throughout the whole inference process.
Fuzzy-set based logics - an history-oriented presentation of their main developments
• Computer Science
The Many Valued and Nonmonotonic Turn in Logic
• 2007

## References

SHOWING 1-10 OF 23 REFERENCES
A Fuzzy-Set-Theoretic Interpretation of Linguistic Hedges
Abstract A basic idea suggested in this paper is that a linguistic hedge such as very, more or less, much, essentially. slightly, etc. may be viewed as an operator which acts on the fuzzy set
Quantitative fuzzy semantics
From a Logical Point of View
• Philosophy
• 1953
It is the wish of the author to keep general terms distinct from abstract singular terms, so that the over-all dis­ pensability of some assumption that has always rankled as ad hoc and unintuitive is discovered.
Semantics of context-free languages
• D. Knuth
• Computer Science
Mathematical systems theory
• 2005
The implications of this process when some of the attributes of a string are “synthesized”, i.e., defined solely in terms of attributes of thedescendants of the corresponding nonterminal symbol, while other attributes are ‘inherited’, are examined.
The logic of inexact concepts
This paper examines problems of vagueness, ambiguity, and ambivalence by suggesting a method for constructing and studying models of the way the authors use words, called a 'logic of inexact concepts'.
Many Valued Logic
Throughout the orthodox mainsteam of the development of logic in the West, the prevailing view was that every proposition is either true or else false (although which of these is the case may well
TOWARD A MODERN THEORY OF CASE.
THE PAPER QUESTIONS THE ADEQUACY OF CHOMSKY'S PROPOSALS FOR FORMALLY RECONSTRUCTING THE DISTINCTION BETWEEN .GRAMMATICAL CATEGORIES AND GRAMMATICAL FUNCTIONS. THE DEEP STRUCTURE VALIDITY OF THE