Montero de Juan, Francisco Javier and Gómez, Daniel and Bustince, H.
(2007)
*Atanassov’s Intuitionistic Fuzzy Sets as a Classification Model.*
In
Foundations of fuzzy logic and soft computing :12th International fuzzy systems association world congress.
Lecture Notes in Computer Science
(4529).
Springer, Berlin, pp. 69-75.
ISBN 978-3-540-72917-4

PDF
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Official URL: http://www.springerlink.com/content/qkv5n16110156312/fulltext.pdf

## Abstract

In this paper we show that Atanassov's Intuitionistic Fuzzy sets can be viewed as a classification model, that can be generalized in order to take into account more classes than the three classes considered by Atanassov's (membership, non-membership and non-determinacy). This approach will imply, on one hand, to change the meaning of these classes, so each one will have a positive definition. On the other hand, this approach implies the possibility of a direct generalization for alternative logics and additional valuation states, being consistent with Atanassov's focuss. From this approach we shall stress the absence of any structure within those three valuation states in Atanassov's model. In particular, we consider this is the main cause of the dispute about Atanassov's model: acknowledging that the name intuitionistic is not appropriate, once we consider that a crisp direct graph is defined in the valuation space, formal differences with other three-state models will appear.

Item Type: | Book Section |
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Additional Information: | 12th World Congress of the International-Fuzzy-Systems-Association. JUN 18-21, 2007 Cancun, MEXICO |

Uncontrolled Keywords: | Atanassov’s Intuitionistic Fuzzy Sets, Interval Valued Fuzzy Sets, Type-2 Fuzzy Sets, L-Fuzzy sets. |

Subjects: | Sciences > Mathematics > Logic, Symbolic and mathematical |

ID Code: | 16914 |

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Deposited On: | 30 Oct 2012 08:51 |

Last Modified: | 07 Feb 2014 09:38 |

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