In this article, we define the vector valued multiple of $chi^{2}$ over $p$-metric sequence spaces defined by Musielak and study some of their topological properties and some inclusion results.

0

In a previous paper, the authors defined a new class ofmultiple-valued logic functions, called multiple-valued majority func-tions. This correspondence clarifies the distinction of multiple-valuedmajority functions from multiple-valued threshold functions through thedifference between a number function and an inner product of an inputvector and a weight vector. Zndcx Terns-I...

This paper surveys methods to represent logic functions by cascades. First, a design method for multi-rail cascades with redundant inputs is shown. It uses logic minimization of SOPs (sumof-products expressions) or ESOPs (EXOR sum-of-products expressions) of multiple-valued inputs. Then, a design method for multi-rail cascades with irredundant inputs is shown. It uses functional decompositions ...

EEcient function representation is very important for speed and memory requirements of multiple-valued de-composers. This paper presents a new representation of multiple-valued relations (functions in particular), called Multiple-Valued Cube Diagram Bundles (MVCDB). MVCDBs improve on Rough Partition representation by labeling their blocks with variable values and by representing blocks eecientl...

It is firstly proved that the multi-input-single-output (MISO) fuzzy systems based on interval-valued $R$- and $S$-implications can approximate any continuous function defined on a compact set to arbitrary accuracy.  A formula to compute the lower upper bounds on the number  of interval-valued fuzzy sets needed to achieve a pre-specified approximation  accuracy for an arbitrary multivariate con...

This paper shows how the application of a CMOS ternary logic is useful in the realisation of Delay Insensitive (01) asynchronous circuits. It is shown that fully DI asynchronous circuits are obtained with a ternary handshake protocol which employs the third logic level as idle state of the asynchronous interface. The advantages obtained are a dramatic reduction of the communication requirement ...