about to represent. Once the membership function has been established (estimated or defined), the concept is described very precisely as the membership values are exact numerical quantities. This seems to raise a certain dilemma of excessive precision in describing imprecise phenomena. In fact, this concern has already sparked a lot of debates starting from the very inception of fuzzy sets.” Co...

Our tactile graphical viewer recognizes the type of a handwritten input curve and displays it on a tactile display. We propose new recognition method and change function for input curves. With this recognition method, we propose a procedure to add new curve types. Using the change function, we are able to reduce the time taken to create the required curves. This system has functions to provide ...

In this paper, the authors investigate the ordering property (OP), x y I x y ≤ ⇔ ( ) = , 1 , together with the general form of the law of importation(LI), i.e., I T x y z I x I y z , , , , ( ) ( ) = ( ) ( ) , whereT is a t-norm and I is a fuzzy implication for the four main classes of fuzzy implications. The authors give necessary and sufficient conditions under which both (OP) and (LI) holds f...

The concept of fuzzy flip-flop was introduced in the middle of 1980’s by Hirota (with his students). The Hirota Lab recognized the essential importance of the concept of a fuzzy extension of a sequential circuit and the notion of fuzzy memory. From this point of view they proposed alternatives for “fuzzifying” digital flip-flops. The starting elementary digital units were the binary J-K flipflo...

The notion of an intuitionistic fuzzy metric space is a natural generalization of the fuzzy metric space concept which provides mechanisms to measure the degree of nearness and remoteness between two elements of a fuzzy set according to a parameter t. In this work we show how, interpreting t as a value representing the evolution time of an information system, we can use effective prediction too...

We introduce nearly Frank t-norms as t-norms which are generated from Frank t-norms by means of a negation-preserving automorphism. We state basic properties of nearly Frank t-norms and we show their speci c role in the characterization of T -measures. 1 Basic facts about T -norms A t-norm (fuzzy conjunction) is a binary operation T : [0; 1]2 ! [0; 1] which is commutative, associative, nondecre...

In many real life situations e g when making an environmental decision it is important to be able to predict long term consequences of di erent decisions Very often these predictions must be done in the situation where the only available information consists of expert rules which are formulated by words from natural language One possible way to transform these expert words into numerical simula...

We studied here the behavior of the t-norms at the point (1/2,1/2). We indicate why this point can be considered as significant in the specification of t-norms. Then, we suggest that the image of this point can be used to classify the t-norms. We consider some usual examples. We also study the case of parameterized tnorms. Finally using the results of this study, we propose a uniform method of ...

Two nonstandard modes o f mference, conftrmatton and dental, have been shown by Bandler and Kohout to be vahd m fuzzy propositional and predicate logics. I f demal ts used m combmatton with modus ponens, the resultmg mference mode ("augmented modus ponens") ytelds more prectse bounds on the consequent of an implication than are usually called for m approximate reasoning. Slmdar results hold for...

Along with possibility theory, fuzzy relation composition rules will be used in our novel approach to deal with the imperfection and the uncertainty that can affect the information elements in any classification system. This takes place at the level of the descriptors of the dataset and the training set objects that can take imprecise, probabilistic, possibilistic, or even missing values, or it...