Results 261 to 270 of about 515,445 (294)

Fuzzy automata with fuzzy relief

IEEE Transactions on Fuzzy Systems, 1995
This paper shows a definition of a fuzzy automaton, which has the state, input, and output sets as fuzzy sets. The state transition function is defined as moving on a fuzzy relief with fuzzy peak-states and boundaries between different membership functions. After the definition of fuzzy automaton with fuzzy relief, the paper deals with a generalization,
Jernej Virant, Nikolaj Zimic
openaire   +2 more sources

Fuzzy Fractals and Fuzzy Turbulence

IEEE Transactions on Systems, Man and Cybernetics, Part B (Cybernetics), 2004
In this paper, we have defined and discussed fuzzy fractals from image generation point of view. We have also proposed a fuzzy system modeling of a two dimensional turbulence just as a chaotic occurrence of fuzzy vortices in a two dimensional dynamic fluid.
openaire   +2 more sources

Fuzzy relations and fuzzy groups

Information Sciences, 1985
The main result: Given a group \(G\) and a fuzzy set \(A\) on \(G\), \(A\) is a fuzzy group on \(G\) iff \(A\times A\) is a fuzzy group on \(G\times G\). A more general product of fuzzy groups was considered by \textit{H. Sherwood} [Fuzzy Sets Syst. 11, 79--89 (1983; Zbl 0529.20021)].
Prabir Bhattacharya, N. P. Mukherjee
openaire   +1 more source

Fuzziness indices for fuzzy clustering

The 12th IEEE International Conference on Fuzzy Systems, 2003. FUZZ '03., 2004
Some indices of fuzziness are introduced for providing helpful information in fuzzy clustering. These indices play an auxiliary role in fuzzy clustering and can be used for deciding the number of clusters by combining with another criterion. Numerical examples are given for demonstrating how these indices can be applied.
openaire   +2 more sources

Fuzzy colorings of fuzzy hypergraphs

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

Fuzzy probability and fuzzy events

PROBLEMS IN PROGRAMMING, 2016
The article deals with different approaches to calculating the probability of fuzzy event. We consider The problems in fuzzy formulation, which are solving with help of the proposed approaches to the calculation of fuzzy probability are considered.
O.I. Provotar, O.V. Vasylenko, O.O. Provotar   +2 more
openaire   +2 more sources

On the fuzzy cardinality of a fuzzy set

International Journal of General Systems, 2006
We look at problem of determining the number of elements of a fuzzy set and its cardinality. It is noted that the simple adding of membership grades often does not lead to a satisfactory results. We investigate the use of a fuzzy subset of the non-negative integers to represent the cardinality of a fuzzy set. We prove a fundamental relationship between
openaire   +1 more source

Fuzzy contactibility and fuzzy variables

Fuzzy Sets and Systems, 1982
Abstract This paper gives some advanced developments of possibility measure theory. There are two problems being solved in this paper: 1. 1. What is the most essential property of the possibility measures? 2. 2. What is the measure extension theorem concering the possibility measures?
openaire   +2 more sources

Fuzzy Points and Fuzzy Prototypes

2002
There has been considerable interest in the nature of fuzzy points and in their relationship to crisp points. This paper describes a very general approach to the characterization of points which treats them as generalized maps from one object to another in a 2-categorical framework. It will be shown that fuzzy points are also amenable to this treatment,
openaire   +1 more source

Fuzzy inclusion and fuzzy equality of two fuzzy subsets, fuzzy operations for fuzzy subsets

Fuzzy Sets and Systems, 1983
In this paper we introduce a new definition of fuzzy inclusion and equality between fuzzy subsets. The main idea is that we evaluate a fuzzy equality not only by one value, as was done up to the present, but by two ones, i.e. by a pair of numbers from the closed unit interval.
openaire   +2 more sources