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Journal ArticleDOI

Comment on ‘ Tolerance analysis using fuzzy sets ’ and ‘ A procedure for multiple aspect decision making ’

Didier Dubois, +1 more
- 01 Mar 1978 - 
- Vol. 9, Iss: 3, pp 357-360
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This article is published in International Journal of Systems Science.The article was published on 1978-03-01. It has received 29 citations till now. The article focuses on the topics: Defuzzification & Fuzzy set operations.

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Citations
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Journal ArticleDOI

A review of some methods for ranking fuzzy subsets

Giovanni Bortolan, +1 more
- 01 Feb 1985 - 
Journal ArticleDOI

Ranking fuzzy numbers in the setting of possibility theory

Didier Dubois, +1 more
- 01 Sep 1983 - 
TL;DR: A complete set of comparison indices is proposed in the framework of Zadeh's possibility theory and it is shown that generally four indices enable one to completely describe the respective locations of two fuzzy numbers.
Journal ArticleDOI

Fuzzy real algebra: Some results

Didier Dubois, +1 more
- 01 Oct 1979 - 
TL;DR: A three parameters representation for fuzzy numbers is shown to be very convenient to perform usual operations for normalized convex fuzzy subsets of the real line, i.e. fuzzy numbers.
Journal ArticleDOI

Probabilistic arithmetic. I. numerical methods for calculating convolutions and dependency bounds

Robert C. Williamson, +1 more
- 01 Mar 1990 - 
TL;DR: A new and general numerical method for calculating the appropriate convolutions of a wide range of probability distributions using lower and upper discrete approximations to the quantile function (the quasi-inverse of the distribution function) and has advantages over other methods previously proposed.
Book ChapterDOI

Fuzzy numbers: an overview

Didier Dubois, +1 more
TL;DR: The dual theory — “optimistic” operations on fuzzy numbers, i.e., with maximal error compensation — is outlined; its interest lies in providing tools for solving fuzzy number equations.
References
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Journal ArticleDOI

Outline of an approach for the analysis of fuzzy systems

Ramesh Jain
- 01 May 1976 - 
TL;DR: A method for the analysis of fuzzy systems using the concept of fuzzy sets is proposed, which enables us to represent quantitatively the sum (or product) of fuzzy variables like large and small, and the convolution of fuzzy sequences.