xiii Acknowledgements / Agräıments xv

In this paper, we apply the concept of t-norm T to fuzzy structure of B-algebras. The notion of a fuzzy B-subalgebra of B-algebras with respect to t-norm is introduced and several related properties are investigated. The direct product and T -product of T -fuzzy subalgebra of B-algebra is investigated.

This paper deals with interval-valued fuzzy sets and I-fuzzy sets, Atanassov's intuitionistic fuzzy sets. They are treated in a systematic way as two, formally equivalent, natural extensions of methods of representing incomplete knowledge about sets. We define and investigate triangular norm-based areas of uncertainty of interval-valued fuzzy sets and I-fuzzy sets, and study some properties of ...

In this paper we have derived four different fuzzy similarities from three extensions of t-norms mentioned in [1] pages 195200. We have derived these similarities in the same spirit like they would have been used in Łukasiewicz algebra. We will present four different similarities based on the extensions of t-norms these are known as Tinf-extension, P-extension, E-extension and Hn extension. Sim...

In this paper we characterize those uninorms which are rational functions (i.e., quotients of two polynomials). These are closely related to the wellknown parametric families of t-norms and t-conorms studied and characterized by Hamacher [8].

This third and last part of a series of position papers on triangular norms (for Parts I and II see [25, 26]) presents the representation of continuous Archimedean t-norms by means of additive generators, and the representation of continuous t-norms by means of ordinal sums with Archimedean summands, both with full proofs. Finally some consequences of these representation theorems in the contex...

In this paper we use a comparison measure which can be adapted to various different applications and has many good properties for further analysis. This comparison measure is based on the adaptive aggregation of the t-norms and t-conorms. We test this measure in classification tasks, with Dombi and Yager type of t-norm and t-conorm operators. The classification results are compared to plain t-n...