This paper describes the Lempel-Ziv dimension (Hausdorff like dimension inspired in the LZ78 parsing), its fundamental properties and relation with Hausdorff dimension. It is shown that in the case of individual infinite sequences, the Lempel-Ziv dimension matches with the asymptotical Lempel-Ziv compression ratio. This fact is used to describe results on Lempel-Ziv compression in terms of dime...

Endpoint results are presented for multi-valued cyclic contraction mappings on complete metric spaces (X, d). Our results extend previous results given by Nadler (1969), Daffer-Kaneko (1995), Harandi (2010), Moradi and Kojasteh (2012) and Karapinar (2011).

due to the high density and the low consumption power in the digital integrated circuits, mostly technology of cmos is used. during the past times, the metal oxide silicon field effect transistors (mosfet) had been used for the design and implementation of the digital integrated circuits because they are compact and also they have the less consumption power and delay to the other transistors. b...

In this paper, we study model-checking of linear-time properties in multi-valuedsystems. Safety property, invariant property, liveness property, persistence anddual-persistence properties in multi-valued logic systems are introduced. Somealgorithms related to the above multi-valued linear-time properties are discussed.The verification of multi-valued regular safety properties an...

In this paper we represent an efficient query optimization technique for the multi-valued rough relational database which follows the indiscernibility relation in its domain. This notion is perceived by using an encoding function to convert a multi-valued attribute to a constant single valued attribute. A simple select-querying technique is provided for selecting the tuples of single-valued att...

In a given binary image, we identify two disjoint sets of image subblocks of varying size which we call range blocks and domain blocks. The range blocks form a partition of the image called a self-referential partition because each range block is represented via a pointer to a matching domain block. The encoder transmits encoded versions of these pointers together with one pixel from each domai...

In this paper, we extend a multi-valued contraction mapping to a cyclic multi-valued contraction mapping. We also establish the existence of common fixed point theorem for a cyclic multi-valued contraction mapping. Our results extend, generalize and unify Nadler’s multi-valued contraction mapping and many fixed point theorems for multivalued mappings. © 2012 Elsevier Ltd. All rights reserved.

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...

Interval-valued intuitionistic fuzzy sets (IVIFSs), a generalization of fuzzy sets, is characterized by an interval-valued membership function, an interval-valued non-membership function.The objective of this paper is to deal with criteria aggregation problems using IVIFSs where there exists a prioritization relationship over the criteria.Based on the ${L}$ukasiewicz triangular norm, we first p...