The Z-number is a more adequate construct for describing real-life information. While considering the uncertainty of information, it also models partial reliability It combination probabilistric restriction and possibilistric restriction. In this paper, we modified measurement discrete proposed continuous Z-number. Some numerical examples are used to illustrate calculation processes advantages ...

the zarankiewicz number z(b; s) is the maximum size of a subgraph of kb,b which does not contain ks,s as a subgraph. the two-color bipartite ramsey number b(s, t) is the smallest integer b such that any coloring of the edges of kb,b with two colors contains a ks,s in the rst color or a kt,t in the second color.in this work, we design and exploit a computational method for bounding and computin...

The Zarankiewicz number z(b; s) is the maximum size of a subgraph of Kb,b which does not contain Ks,s as a subgraph. The two-color bipartite Ramsey number b(s, t) is the smallest integer b such that any coloring of the edges of Kb,b with two colors contains a Ks,s in the rst color or a Kt,t in the second color.In this work, we design and exploit a computational method for bounding and computing...

Inverse Young inequality asserts that if $nu >1$, then $|zw|ge nu|z|^{frac{1}{nu}}+(1-nu)|w|^{frac{1}{1-nu}}$, for all complex numbers $z$ and $w$, and equality holds if and only if $|z|^{frac{1}{nu}}=|w|^{frac{1}{1-nu}}$. In this paper the complex representation of quaternion matrices is applied to establish the inverse Young inequality for matrices of quaternions. Moreover, a necessary and ...

Renato A. Krohling Department of Production Engineering & Graduate Program in Computer Sciences,PPGI UFESFederal University of Espirito Santo Av. Fernando Ferrari, 514, CEP 29075910 Vitória, Espirito Santo, ES, Brazil [email protected] Guilherme Artem dos Santos & André G. C. Pacheco Graduate Program in Computer Sciences UFESFederal University of Espirito Santo Av. Fernando Ferrari, 514...

Let S = K[X 1 ,. .. , X n ] be the polynomial ring over a field K. For bounded below Z n-graded S-modules M and N we show that if Tor S p (M, N) = 0, then for 0 ≤ i ≤ p, the dimension of the K-vector space Tor S i (M, N) is at least p i. In particular, we get lower bounds for the total Betti numbers. These results are related to a conjecture of Buchsbaum and Eisenbud.

fuzzy groups and fuzzy theory have a lot of applications in several sciences such as mathematics, computer science, computer and electrical engineering. hence, counting the number of fuzzy subgroups of finite groups to classify them is an important issue in fuzzy theory. the main goal of this paper is to give an explicit formula for the number of fuzzy subgroups of a finite cyclic group g z p1 ...

Intuitionistic fuzzy numbers incorporate the membership and non-membership degrees. In contrast, Z-numbers consist of restriction components, with existence a reliability component describing degree certainty for restriction. The combination intuitionistic produce new type numbers, namely (IZN). strength IZN is their capability better handling uncertainty compared to Zadeh's since both componen...