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Measures of fuzziness based on t-norms.

Ronald R. Yager — 1982

Stochastica

We use the concept of t-norms and conorms to develop a pseudo metric and we then use this pseudo metric to define a class of measures of fuzziness associated with a fuzzy set. We investigate the properties of this class of measures of fuzziness.

Specifying t-norms based on the value of T (1/2, 1/2).

Marcin DetynieckiRonald R. YagerBernadette Bouchon-Meunier — 2000

Mathware and Soft Computing

We study 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 t-norms. Finally using the results of this study, we propose a uniform method of computing the parameters. This method allows not only having the same parameter-scale for all the families,...

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