An inquiry into approximate operations on fuzzy numbers

An inquiry into approximate operations on fuzzy numbers

Arithmetic Operations on Trapezoidal Fuzzy Numbers

In this paper, several new algebraic mathematics for positive fuzzy numbers of type (a,a,a,a) are devised and do not need the computation of α-cut of the fuzzy number. Direct mathematical expressions to evaluate exponential, square root, logarithms, inverse exponential etc. of positive fuzzy numbers of type (a,a,a,a) are obtained using the basic analytical principles of algebraic mathematics an...

An Order Relation and Fundamental Operations on Fuzzy Numbers and Their Applications to Fuzzy Linear Programming

An order relation, which satisfies the axioms of a partial ordering, is defined on the set of general fuzzy numbers. An L fuzzy number is defined as a fuzzy numbcr specialized to a certain extent, and fundamental linear operations are introduced on the set of the L fuzzy numbers. After that, characterization theorems of the order among the L fuzzy numbers is given in terms of the parameters of ...

Approximate fuzzy arithmetic operations using monotonic interpolations

We suggest the use of piecewise monotonic interpolations to approximate and represent a fuzzy number (or interval) and to derive a procedure to control the absolute error associated to the arithmetic operations (+,−, ·, :) between fuzzy numbers, in order to reduce the distance between the true result of the operation and its approximation. The monotonic functions are then used to define a param...

An inquiry into the concept of information poverty

Background and Aim: The purpose of this paper is to examine the concept of information poverty, its levels and its causes in society    Methods: The article is a review-analytical paper.  Results: The findings show that information poverty is part of the larger problem of poverty and results from socioeconomic, educational and infrastructural issues. Information poverty can be discussed at mac...