When we deal with crisp data, it is very common to find the correlation between variables. Here, we propose a method to calculate the correlation coefficient for fuzzy data, but rather than defining the correlation on the intuitionistic fuzzy sets like most of the previous works, we adopt the method from central interval. This interval can be used as a crisp set approximation with respect to a ...

Many ambitious computer algebra systems were initially designed in a flush of enthusiasm, with the goal of automating any symbolic mathematical manipulation “correctly.” Historically, this approach resulted in programs that implicitly used certain identities to simplify expressions. These identities, which very likely seemed universally true to the programmers in the heat of writing the CAS, (a...

A multiple-interval representation of a graph G is a mapping f which assigns to each vertex of G a union of intervals on the real line so that two distinct vertices u and v are adjacent if and only if f(u) ∩ f(v) = ∅. We study the total interval number of G, de0ned as I(G) = min {∑ v∈V #f(v): f is a multiple-interval representation of G } ; where #f(v) is the minimum number of intervals whose u...

Many ambitious computer algebra systems were initially designed in a flush of enthusiasm, with the goal of automating any symbolic mathematical manipulation “correctly.” We see this kind of goal in programs like Macsyma, Maple, Mathematica. This approach often resulted in programs that implicitly used certain identities to simplify expressions. These identities, which likely seemed universally ...

Abstract In this paper, we use interval-valued fuzzy numbers to fuzzify the crisp linear programming to three cases. The first case, we use intervalvalued fuzzy numbers to fuzzify the coefficients in the objective function. We get a linear programming in the fuzzy sense. The second case, we use interval-valued fuzzy numbers to fuzzify the coefficients akj in the constraints about xj, j = 1, 2, ...

studbook information collected from 1988 to 2011 in jafarabad breeding station of moghani sheep, north-west of iran, related to 9,457 lambs were used to study the genetic diversity and to evaluate the effectiveness of an implemented rotational mating scheme using pedigree analysis. lambs born during 2009-2011 were considered as reference population. means inbreeding and average coancestry for t...

representation and modeling of economic uncertainty is addressed by different modeling methods, namely stochastic variables and probabilities, interval analysis, and fuzzy numbers, in particular triple estimates. fo-cusing on discounted cash flow analysis numerical results are presented, comparisons are made between alter-native modeling methods, and characteristics of the methods are discussed.

We study a particular case of the two-dimensional Steinhaus theorem , giving estimates of the possible distances between points of the form k and k + on the unit circle, through an approximation algorithm of by the points k. This allows us to compute covering numbers (maximal measure of Rokhlin stacks having some prescribed regularity properties) for the symbolic dynamical systems associated to...