Algebraic approach to the interval linear static identification, tolerance, and control problems, or one more application of kaucher arithmetic

Exact soultion of full interval linear equation AX=B based on Kaucher arithmetic

Interval Algebraic Approach to Equilibrium Equations in Mechanics

The engineering demand for more realistic and accurate models involving interval uncertainties lead to a new interval model of linear equilibrium equations in mechanics, which is based on the algebraic completion of classical interval arithmetic (called Kaucher arithmetic). Interval algebraic approach consists of three parts: representation convention, computing algebraic solution and result in...

Providing a Method for Solving Interval Linear Multi-Objective Problems Based on the Goal Programming Approach

Most research has focused on multi-objective issues in its definitive form, with decision-making coefficients and variables assumed to be objective and constraint functions. In fact, due to inaccurate and ambiguous information, it is difficult to accurately identify the values of the coefficients and variables. Interval arithmetic is appropriate for describing and solving uncertainty and inaccu...

A New Technique in Systems Analysis Under Interval Uncertainty and Ambiguity

The main subject of this work is mathematical and computational aspects of modeling of static systems under interval uncertainty and/or ambiguity. A cornerstone of the new approach we are advancing in the present paper is, first, the rigorous and consistent use of the logical quantifiers to characterize and distinguish different kinds of interval uncertainty that occur in the course of modeling...

Arithmetic Aggregation Operators for Interval-valued Intuitionistic Linguistic Variables and Application to Multi-attribute Group Decision Making

The intuitionistic linguistic set (ILS) is an extension of linguisitc variable. To overcome the drawback of using single real number to represent membership degree and non-membership degree for ILS, the concept of interval-valued intuitionistic linguistic set (IVILS) is introduced through representing the membership degree and non-membership degree with intervals for ILS in this paper. The oper...