This article deals with a new novel defuzzification method for the dense fuzzy sets. In our
study, we first define the dense fuzzy set for triangular fuzzy numbers. Then new …

On two important counts, the Zadehian theory of fuzzy sets urgently needs to be restructured.
First, it can be established that for a normal fuzzy number N=[α, β, γ] with membership …

This article deals with a triangular dense fuzzy set having special property on Cauchy
sequence. In this set, the normality will never be attained unless we unlock by a special key …

It has been accepted that the fuzzy sets do not form a field. In this article, we are going to put
forward an extension of the definition of fuzziness. With the help of this extension, we would …

In this article, we develop the definition of the degree of fuzziness for a polygonal fuzzy set.
First of all we take a polygon of sides 2 n+ 1 and then we calculate its area. Also we consider …

Mining patterns in a market-basket dataset is a well-stated problem. There are a number of
approaches to deal with this problem. Different types of patterns may be present in a dataset …

In this article, it has been shown that the Dubois-Prade left and right reference functions of a
fuzzy number viewing as a distribution function and a complementary distribution function …

Since the beginning, for the last forty five years, it has been accepted that fuzziness and
randomness are independent concepts. Workers in fuzzy mathematics have been trying to …

Two laws of randomness are necessary and sufficient to describe a normal fuzzy number.
Trying to impose one single probability law on an interval on which a possibility law has …

In this article, an alternative method to evaluate the arithmetic operations on fuzzy number
has been developed, on the assumption that the Dubois-Prade left and right reference …