منابع مشابه
Solvability of Parametric Interval Linear Systems of Equations and Inequalities
Considered are linear algebraic systems of equations and/or inequalities involving linear dependencies between interval-valued parameters. The goal is to characterize weak and strong solvability of such systems. Since any parametric interval equation is equivalent to a system of parametric interval inequalities, the focus is on the latter. We discuss an algorithmic procedure for characterizing ...
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We describe a Farkas-type condition for strong solvability of interval linear inequalities. The result is used to derive several descriptions of the set of strong solutions and to show that this set forms a convex polytope.
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This chapter deals with solvability and feasibility (i.e., nonnegative solvability) of systems of interval linear equations and inequalities. After a few preliminary sections, we delineate in Section 2.6 eight decision problems (weak solvability of equations through strong feasibility of inequalities) that are then solved in eight successive sections 2.7 to 2.14. It turns out that four problems...
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In this paper, optimization of a linear objective function with fuzzy relational inequality constraints is investigated where the feasible region is formed as the intersection of two inequality fuzzy systems and Hamacher family of t-norms is considered as fuzzy composition. Hamacher family of t-norms is a parametric family of continuous strict t-norms, whose members are decreasing functions of ...
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In this paper, we have studied the analysis an interval linear regression model for fuzzy data. In section one, we have introduced the concepts required in this thesis and then we illustrated linear regression fuzzy sets and some primary definitions. In section two, we have introduced various methods of interval linear regression analysis. In section three, we have implemented nu...
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ژورنال
عنوان ژورنال: Linear and Multilinear Algebra
سال: 1994
ISSN: 0308-1087,1563-5139
DOI: 10.1080/03081089508818341