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Retracts and Q-independence

Anna Chwastyk — 2007

Discussiones Mathematicae - General Algebra and Applications

A non-empty set X of a carrier A of an algebra A is called Q-independent if the equality of two term functions f and g of the algebra A on any finite system of elements a₁,a₂,...,aₙ of X implies f(p(a₁),p(a₂),...,p(aₙ)) = g(p(a₁),p(a₂),...,p(aₙ)) for any mapping p ∈ Q. An algebra B is a retract of A if B is the image of a retraction (i.e. of an idempotent endomorphism of B). We investigate Q-independent subsets of algebras which have a retraction in their set of term functions.

Fuzzy calculus with aplications

Anna ChwastykWitold Kosiński — 2013

Mathematica Applicanda

The aim of the artile is presenting the current state of ordered fuzzy numbers development. New model of fuzzy number was invented in 2002 to overcome drawbacks of classical (convex) fuzzy numbers. Two problems of management accounting are considered. The first relates to the management of supply and determining the optimal size of a delivery from outside, which minimalize total costs, when unit costs of delivery and storage are fuzzy. The second problem is related to determination of Internal Rate...

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