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MiniMax ε-Stable Cluster Validity Index for Type-2 Fuzziness

open access: yesInformation Sciences, 2012
In this paper, we concentrate on the usage of uncertainty associated with the level of fuzziness in determination of the number of clusters in FCM for any data set.
Ibrahim Ozkan, I Burhan Türkşen
exaly   +3 more sources
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FUZZY‐FUZZY AUTOMATA

Kybernetes, 1976
Based on the concept of fuzzy sets of type 2 (or fuzzy‐fuzzy sets) defined by L. A. Zadeh, fuzzy‐fuzzy automata ate newly formulated and some properties of these automata are investigated. It is shown that fuzzy‐fuzzy languages characterized by fuzzy‐fuzzy automata are closed under the operations of union, intersection, concatenation, and Kleene ...
Mizumoto, M., Tanaka, K.
openaire   +2 more sources

The fuzziness of fuzzy partitions

Pattern Recognition Letters, 1991
Abstract In this work a method to make an easier pattern classification when the use of a classical membership function doesn't give satisfactory results due to the similarity between prototypes, is developed. A new formulation of the membership function itself is proposed for extreme cases of indistinguishability.
Francisco Javier López Aligué   +2 more
openaire   +1 more source

Fuzzy number fuzzy measures and fuzzy integrals. (II). Fuzzy integrals of fuzzy-valued functions with respect to fuzzy number fuzzy measures on fuzzy sets

Fuzzy Sets and Systems, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Congxin Wu   +3 more
openaire   +2 more sources

Fuzzy topology on fuzzy sets: fuzzy semicontinuity and fuzzy semiseparation axioms

Applied Mathematics and Computation, 2004
\textit{C. L. Chang} [J. Math. Anal. Appl. 24, 182--190 (1968; Zbl 0167.51001)] introduced fuzzy topology as a pair \((X,\tau)\), where \(X\) is an ordinary nonempty set, and \(\tau\subseteq I^X\) \((I= [0,1])\) satisfies the usual conditions. In such a setting, the concepts of fuzzy semi-open and semi-closed sets and different separation axioms in ...
F. S. Mahmoud   +2 more
openaire   +1 more source

FUZZY ORDERING OF FUZZY NUMBERS

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2004
In this paper we are interested in determining the fuzzy ordering, from smallest to largest, of any finite set of fuzzy numbers. We investigate two methods: (1) using a weak fuzzy ordering; and (2) using a strong fuzzy ordering. Employing a strong fuzzy ordering we show that any finite set of fuzzy numbers has a unique ranking from smallest to largest.
James J. Buckley, Esfandiar Eslami
openaire   +2 more sources

FUZZY SENSORS FOR FUZZY CONTROL

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 1994
This paper introduces sensors employing a fuzzy numeric to symbolic interface. The fundamental design considerations for this kind of fuzzy symbolic sensor, or fuzzy sensor, are formally presented. Then, the use of these components for fuzzy control is discussed and illustrated.
Foulloy, Laurent, Galichet, Sylvie
openaire   +4 more sources

Fuzzy control with fuzzy inputs

IEEE Transactions on Fuzzy Systems, 2003
This paper is concerned with the use of fuzzy inputs in fuzzy logic controllers. A precise representation of fuzzy logic controllers by means of mappings is used to introduce different ways for dealing with fuzzy inputs. Two types of fuzzy inputs are presented and their potential use in fuzzy control is discussed.
Foulloy, Laurent, Galichet, Sylvie
openaire   +3 more sources

Fuzzy number fuzzy measures and fuzzy integrals. (I). Fuzzy integrals of functions with respect to fuzzy number fuzzy measures

Fuzzy Sets and Systems, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Congxin Wu   +3 more
openaire   +2 more sources

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