In this paper we study the L-fuzzy hyperoperation t, which generalizes the crisp Nakano hyperoperation t1. We construct t using a family of crisp tp hyperoperations as its p-cuts. The hyperalgebra (X,t,∧) can be understood as an L-fuzzy hyperlattice. AMS Classification: 06B99, 06D30, 08A72, 03E72, 20N20.

The bi-criteria fixed charge transportation problem is an extension of the classical transportation problem. The bi-criteria fixed charge transportation problem in a crisp environment is, often, not effective in dealing with imprecision or vagueness in the values of the problem parameters. To deal with such situations, it has been proposed that the parameters should be represented as fuzzy numb...

PURPOSE To quantify the impact of diagnostic confidence on radiological diagnosis with a fuzzy logic-based method. MATERIALS AND METHODS Twenty-two oncologic patients with 20 cysts and 30 metastases ≤1 cm in size found at 64-row computed tomography were included. Two readers (R1/R2) expressed diagnoses as a subjective level of confidence P(d) in malignancy within the interval [0,1] rather tha...

in this paper the solution of a second order linear dierential equations with intu-itionistic fuzzy boundary value is described. it is discussed for two dierent cases: coecientis positive crisp number and coecient is negative crisp number. here fuzzy numbers aretaken as generalized trapezoidal intutionistic fuzzy numbers (gtrifns). further a numericalexample is illustrated.

In order to estimate fuzzy regression models, possibilistic and least-squares procedures can be considered. By taking into account a least-squares approach, regression models with crisp or fuzzy inputs and crisp or fuzzy output are suggested. In particular, for these fuzzy regression models, unconstrained and constrained (with inequality restrictions) least-squares estimation procedures are dev...

Fuzzy Description Logics (FDLs) have been introduced to reason about vague or imprecise knowledge in application domains. In recent years, reasoning in many FDLs based on infinitely many values has been proved to be undecidable [3,15] and systematic studies have been undertaken on this topic [8]. On the other hand, every finite-valued FDL that has been studied in the recent literature has not o...

The rise of data mining has brought many changes to people’s lives but also to companies and the importance of data analysis. Companies always had a tendency to gather as much data as possible but it has only been recently due to the developments in IT that large quantities of data can be analyzed in a fast and easy way. This new field gave rise to the methodology of Cross Industry Standard Pro...