In this paper we propose an extension of the wellknown OWA functions introduced by Yager to interval-valued (IVFS) and Atanassov’s intuitionistic (AIFS) fuzzy set theory. We first extend the arithmetic and the quasi-arithmetic mean using the arithmetic operators in IVFS and AIFS theory and investigate under which conditions these means are idempotent. Since on the unit interval the construction...

This paper describes a library of parameterized arithmetic operators for manipulating high-dynamic numbers on FPGA. It support both floating-point and logarithmic representations. Along with its direct interest, that library allow application-specific comparisons of those two number representation systems. It is unbiased in the sense that it tends to reflect the state-of-the-art for both number...

We develop a new decision making model by using distance measures, weighted averages and OWA operators. We introduce the induced ordered weighted averaging – weighted averaging distance (IOWAWAD) operator. We study some of its main properties and particular cases such as the weighted Hamming distance, the induced OWA distance (IOWAD), the arithmetic weighted distance and the arithmetic IOWAD op...

respectively We note that these operators are quite di erent in the sense that the rst one fo cuses the total weight on only one argument pro jection on the rst argument whereas the second one distributes the total weight among all the ar guments evenly arithmetic mean In order to capture this idea one can de ne a measure of dispersion associated to the weight vector of the weighted arithmetic ...

DNNs are ubiquitous datacenter workloads, requiring orders of magnitude more computing power from servers than traditional workloads. As such, datacenter operators are forced to adopt domain-specific accelerators that employ halfprecision floating-point (FP) numeric representations to improve arithmetic density. Unfortunately, even these representations are not dense enough, and are, therefore,...

Intuitionistic Fuzzy Numbers (IFNs) transfer more information than fuzzy numbers do in uncertain situations. It is caused that many others tried to define methods for ranking of IFNs and arithmetic operations on them, which are used in practical applications of IFNs such as decision making. Arithmetic operators on IFNs changed membership and non-membership degrees. The resulted degrees have imp...

Let Γ be a lattice in a locally compact group G. In earlier work, we used KKtheory to equip the K-groups of any Γ-C∗-algebra on which the commensurator of Γ acts with Hecke operators. When Γ is arithmetic, this gives Hecke operators on the K-theory of certain C ∗-algebras that are naturally associated with Γ. In this paper, we first study the topological Ktheory of the arithmetic manifold assoc...

The increased capacity and enhanced features of modern FPGAs opens new opportunities for their use as application accelerators. However, for FPGAs to be accepted as mainstream acceleration solutions, long design cycles must be shortened by using high-level synthesis tools in the design process. Current HLS tools targeting FPGAs have several limitations including the inefficient use of deeply pi...

The intuitionistic linguistic set (ILS) is an extension of linguisitc variable. To overcome the drawback of using single real number to represent membership degree and non-membership degree for ILS, the concept of interval-valued intuitionistic linguistic set (IVILS) is introduced through representing the membership degree and non-membership degree with intervals for ILS in this paper. The oper...